EXHIBIT 1.1


                                   10,000,000

                              ROWAN COMPANIES, INC.

                                  COMMON STOCK

                             UNDERWRITING AGREEMENT

                                                               January 27, 2004

LEHMAN BROTHERS INC.
745 Seventh Avenue
New York, NY  10019

Dear Sirs:

         Rowan Companies, Inc., a Delaware corporation (the "Company"), proposes
to sell 10,000,000 shares (the "Firm Stock") of the Company's common stock, par
value $0.125 per share (the "Common Stock"). It is understood that, subject to
the conditions hereinafter stated, the Firm Stock will be sold to Lehman
Brothers Inc. (the "Underwriter") in connection with the offering and sale of
such Firm Stock in the United States to United States persons.

         In addition, the Company proposes to grant to the Underwriter an option
to purchase up to an additional 1,500,000 shares of the Common Stock on the
terms and for the purposes set forth in Sections 2 and 4 (the "Option Stock").
The Firm Stock and the Option Stock, if purchased, are hereinafter collectively
called the "Stock." This is to confirm the agreement concerning the purchase of
the Stock from the Company by the Underwriter.

         1.    Representations, Warranties and Agreements of the Company. The
Company represents, warrants and agrees that:

         (a)   A registration statement on Form S-3 including a prospectus,
         relating to, among other securities, the Stock and the offering thereof
         from time to time in accordance with Rule 415 under the Securities Act
         has (i) been prepared by the Company in conformity with the
         requirements of the United States Securities Act of 1933, as amended
         (the "Securities Act"), and the rules and regulations (the "Rules and
         Regulations") of the United States Securities and Exchange Commission
         (the "Commission") thereunder, (ii) been filed with the Commission
         under the Securities Act (File No. 333-110601), and (iii) become
         effective under the Securities Act. Copies of such registration
         statement have been delivered by the Company to you. As provided in
         Section 5(a), a prospectus supplement reflecting the terms of the
         offering of the Stock and the other matters set forth therein has been
         prepared and will be filed pursuant to Rule 424 under the Securities
         Act. Such prospectus supplement, in the form first filed after the
         Effective Time (as defined below) pursuant to Rule 424, is herein
         referred to as the "Prospectus Supplement". Such registration
         statement, as amended at the Effective Time, including the exhibits
         thereto and the documents incorporated by reference therein, is herein
         called the "Registration Statement", and the basic prospectus included
         therein relating to all offerings of securities under the Registration
         Statement, as supplemented by the Prospectus Supplement, is herein



         called the "Prospectus", except that, if such basic prospectus is
         amended or supplemented on or prior to the date on which the Prospectus
         Supplement is first filed pursuant to Rule 424, the term "Prospectus"
         shall refer to the basic prospectus as so amended or supplemented and
         as supplemented by the Prospectus Supplement, in either case including
         the documents filed by the Company with the Commission pursuant to the
         Securities Exchange Act of 1934, as amended (the "Exchange Act"), that
         are incorporated by reference therein. As used herein, "Effective Time"
         means the date and the time as of which such Registration Statement, or
         the most recent post-effective amendment thereto, if any, was declared
         effective by the Commission; "Effective Date" means the date of the
         Effective Time; "Preliminary Prospectus Supplement" means each
         Prospectus Supplement included in a registration statement, or
         amendments thereof, after the Registration Statement became effective
         under the Securities Act but containing a "Subject to Completion"
         legend comparable to that contained in paragraph 10 of Item 501 under
         Regulation S-K of the Rules and Regulations. To the best of the
         Company's knowledge, information and belief, having made reasonable
         inquiries, the Commission has not issued any order preventing or
         suspending the use of the Prospectus.

         (b)   The Registration Statement conforms, and each Prospectus
         Supplement and any further amendments or supplements to the
         Registration Statement or any Prospectus Supplement will, when they
         become effective or are filed with the Commission, as the case may be,
         conform in all material respects to the requirements of the Securities
         Act and the Rules and Regulations and do not and will not, (i) as of
         the applicable effective date (as to the Registration Statement and any
         amendment thereto) contain an untrue statement of a material fact or
         omit to state a material fact required to be stated therein or omit to
         state a material fact necessary to make the statements therein not
         misleading and (ii) as of the applicable filing date (as to each
         Prospectus Supplement and any supplement thereto) contain an untrue
         statement of a material fact or omit to state a material fact required
         to be stated therein or necessary to make the statements therein (in
         the case of any Prospectus Supplement in light of the circumstances
         under which they were made) not misleading; provided that the Company
         makes no representation or warranty as to information contained in or
         omitted from the Registration Statement or any Prospectus Supplement in
         reliance upon and in conformity with written information furnished to
         the Company by or on behalf of the Underwriter specifically for
         inclusion therein.

         (c)   The documents incorporated by reference or deemed to be
         incorporated in the Prospectus or Prospectus Supplement pursuant to
         Item 12 of the Registration Statement under the Securities Act, at the
         time they were or hereafter are filed with the Commission, complied in
         all material respects with the requirements of the Exchange Act, and
         the rules and regulations of the Commission thereunder (the "1934 Act
         Regulations") and, when read together and with the other


                                       2



         information in the Prospectus, as of the applicable effective date of
         the Registration Statement and any amendment thereto, did not and will
         not contain an untrue statement of a material fact or omit to state a
         material fact required to be stated therein or necessary to make the
         statements therein, in light of the circumstances under which they were
         made, not misleading.

         (d)   The Company and each of the subsidiaries which are listed on
         Schedule 1 hereto, (each, a "Significant Subsidiary" and collectively,
         the "Significant Subsidiaries"), have been duly incorporated and are
         validly existing as corporations in good standing under the laws of
         their respective jurisdictions of incorporation, are duly qualified to
         do business and are in good standing as foreign corporations in each
         jurisdiction in which their respective ownership or lease of property
         or the conduct of their respective businesses requires such
         qualification (except where the failure to so qualify would not have a
         material adverse effect on the Company and the Significant Subsidiaries
         taken as a whole), and have all power and authority necessary to own or
         hold their respective properties and to conduct the businesses in which
         they are engaged.

         (e)   The filing of the Registration Statement and the execution and
         delivery by the Company of this Agreement, and the consummation of the
         transactions contemplated hereby and thereby, have been duly authorized
         by the board of directors of the Company, and all necessary corporate
         action to authorize and approve the same has been taken. The Stock and
         all of the authorized shares of Common Stock have been duly authorized
         and all of the issued and outstanding shares of Common Stock are, and
         all of the Firm Stock and the Option Stock, as the case may be, when
         issued, delivered and paid for will be, validly issued and outstanding,
         fully paid and nonassessable with no personal liability attaching to
         the ownership thereof. None of the shares of Stock when delivered will
         be subject to any lien, claim, encumbrance, preemptive right or any
         other claim of any third party. The Stock conforms, or will, when
         issued, conform in all material respects to the descriptions thereof
         contained in the Registration Statement and the Prospectus Supplement.
         The capitalization of the Company as of September 30, 2003 is as set
         forth in the Prospectus Supplement (except for shares of Common Stock
         issued in connection with exercises of options and conversions of
         convertible debentures granted under the Company's existing employee
         benefit plans, qualified stock option plans or other employee
         compensation plans). Except as disclosed in the Prospectus Supplement
         and except for exercises of options and conversions of convertible
         debentures since the date as of which information relating to options
         and convertible debentures is given therein, there are no outstanding
         options or warrants to purchase any shares of the capital stock of the
         Company or securities convertible into or exchangeable for any shares
         of the capital stock of the Company. The Company has all requisite
         corporate power and authority to issue, sell, and deliver the Stock in


                                       3


         accordance with and upon the terms and conditions set forth in this
         Agreement and in the Registration Statement and Prospectus Supplement.

         (f)   The execution, delivery and performance of this Agreement by the
         Company and the consummation of the transactions contemplated hereby
         will not conflict with or result in a breach or violation of any of the
         terms or provisions of, or constitute a default under, any indenture,
         mortgage, deed of trust, loan agreement or other material agreement or
         instrument to which the Company or any of its subsidiaries is a party
         or by which the Company or any of its subsidiaries is bound or to which
         any of the property or assets of the Company or any of its subsidiaries
         is subject, nor will such actions result in any violation of the
         provisions of the charter or by-laws of the Company or any of its
         subsidiaries or any statute or any order, rule or regulation of any
         court or governmental agency or body having jurisdiction over the
         Company or any of its subsidiaries or any of their properties or
         assets; and except for the registration of the Stock under the
         Securities Act and any consents, approvals, authorizations,
         registrations or qualifications as may be required under the Exchange
         Act and applicable state or foreign securities laws in connection with
         the purchase and distribution of the Stock by the Underwriter, no
         consent, approval, authorization or order of, or filing or registration
         with, any such court or governmental agency or body is required for the
         execution, delivery and performance of this Agreement by the Company
         and the consummation of the transactions contemplated hereby.

         (g)   There are no contracts, agreements or understandings between the
         Company and any person granting such person the right to require the
         Company to file a registration statement under the Securities Act with
         respect to any securities of the Company owned or to be owned by such
         person or to require the Company to include such securities in the
         securities registered pursuant to the Registration Statement.

         (h)   Except as described in the Prospectus Supplement, the Company has
         not sold or issued any shares of Common Stock during the six-month
         period preceding the date of the Prospectus Supplement, including any
         sales pursuant to Rule 144A under, or Regulations D or S of, the
         Securities Act, other than shares issued pursuant to employee benefit
         plans, qualified stock options plans or other employee compensation
         plans or pursuant to outstanding options, rights or warrants.

         (i)   Neither the Company nor any of its subsidiaries has sustained,
         since the date of the latest audited financial statements included or
         incorporated by reference in the Prospectus Supplement, any material
         loss or interference with its business from fire, explosion, flood or
         other calamity, whether or not covered by insurance, or from any labor
         dispute or court or governmental action, order or decree, otherwise
         than as set forth or contemplated in the Prospectus Supplement; and,
         since such date, there has not been any change in the capital stock
         (except for


                                       4



         shares of Common Stock issued in connection with exercises of options
         and conversions of convertible debentures granted under the Company's
         existing employee benefit plans, qualified stock option plans or other
         employee compensation plans) or long-term debt of the Company or any of
         its subsidiaries or any material adverse change, or any development
         involving a prospective material adverse change, in or affecting the
         general affairs, management, financial position, stockholders' equity
         or results of operations of the Company and its subsidiaries, otherwise
         than as set forth or contemplated in the Prospectus Supplement.

         (j)   The financial statements (including the related notes and
         supporting schedules) filed as part of the Registration Statement or
         included or incorporated by reference in the Prospectus Supplement
         present fairly the financial condition and results of operations of the
         entities purported to be shown thereby, at the dates and for the
         periods indicated, and have been prepared in conformity with generally
         accepted accounting principles applied on a consistent basis throughout
         the periods involved.

         (k)   Deloitte & Touche LLP, who has certified certain financial
         statements of the Company, whose report appears in the Prospectus
         Supplement or is incorporated by reference therein and who has
         delivered the initial letter referred to in Section 7(f) hereof, are
         independent public accountants as required by the Securities Act and
         the Rules and Regulations.

         (l)   The Company and each of its subsidiaries have good and marketable
         title in fee simple to all real property and good and marketable title
         to all personal property owned by them, in each case free and clear of
         all liens, encumbrances and defects except such as are described in the
         Prospectus Supplement or such as would not have a material adverse
         effect on the consolidated financial position, stockholders' equity,
         results of operations, business or prospects of the Company and its
         subsidiaries; and all real property and buildings held under lease by
         the Company and its subsidiaries are held by them under valid,
         subsisting and enforceable leases, with such exceptions as are not
         material and do not interfere with the use made and proposed to be made
         of such property and buildings by the Company and its subsidiaries.

         (m)   The Company and each of its subsidiaries carry, or are covered
         by, insurance in such amounts and covering such risks the Company
         believes is adequate for the conduct of their respective businesses and
         the value of their respective properties and as is customary for
         companies engaged in similar businesses in similar industries.

         (n)   Except as described in the Prospectus Supplement, there is no
         litigation or governmental proceeding pending to which the Company or
         any of its subsidiaries is a party or of which any property or assets
         of the Company or any


                                       5



         of its subsidiaries is the subject which, if determined adversely to
         the Company or any of its subsidiaries, is reasonably likely to have a
         material adverse effect on the consolidated financial position,
         stockholders' equity, results of operations, business or prospects of
         the Company and its subsidiaries; and to the best of the Company's
         knowledge, no such proceedings are threatened or contemplated by
         governmental authorities or threatened by others.

         (o)   The Company meets the requirements for use of Form S-3 under the
         Securities Act and, as of the applicable effective date of the
         Registration Statement and Prospectus and any amendment thereto and as
         of the applicable filing date of the Prospectus Supplement and any
         supplements thereto, the Registration Statement and Prospectus, and
         amendments thereto, complied and the Prospectus Supplement, and
         supplements thereto, will comply with the requirements of the
         Securities Act and the Rules and Regulations thereunder.

         (p)   There are no contracts or other documents which are required to
         be described in the Prospectus Supplement or filed as exhibits to the
         Registration Statement by the Securities Act or by the Rules and
         Regulations which have not been described in the Prospectus Supplement
         or filed as exhibits to the Registration Statement or incorporated
         therein by reference as permitted by the Rules and Regulations.

         (q)   No relationship, direct or indirect, exists between or among the
         Company on the one hand, and the directors, officers, stockholders,
         customers or suppliers of the Company on the other hand, which is
         required to be described in the Prospectus Supplement which is not so
         described.

         (r)   No labor disturbance by the employees of the Company exists or,
         to the knowledge of the Company, is imminent which is reasonably likely
         to have a material adverse effect on the consolidated financial
         position, stockholders' equity, results of operations, business or
         prospects of the Company and its subsidiaries.

         (s)   The Company is in compliance in all material respects with all
         presently applicable provisions of the Employee Retirement Income
         Security Act of 1974, as amended, including the regulations and
         published interpretations thereunder ("ERISA"); no "reportable event"
         (as defined in ERISA) has occurred with respect to any "pension plan"
         (as defined in ERISA) for which the Company would have any liability;
         the Company has not incurred and does not expect to incur liability
         under (i) Title IV of ERISA with respect to termination of, or
         withdrawal from, any "pension plan" or (ii) Sections 412 or 4971 of the
         Internal Revenue Code of 1986, as amended, including the regulations
         and published interpretations thereunder (the "Code"); and each
         "pension plan" for which the Company would have any liability that is
         intended to be qualified under Section 401(a) of the Code is so
         qualified in all material respects and nothing has


                                       6



         occurred, whether by action or by failure to act, which would cause the
         loss of such qualification.

         (t)   The Company has filed all federal, state and local income and
         franchise tax returns required to be filed through the date hereof and
         has paid (other than filings or payments relating to taxes being
         contested in good faith and for which an adequate reserve or accrual
         has been established in accordance with generally accepted accounting
         principles) all taxes due thereon, and no tax deficiency has been
         determined adversely to the Company or any of its subsidiaries which
         has had (nor does the Company have any knowledge of any tax deficiency
         which, if determined adversely to the Company or any of its
         subsidiaries, is reasonably likely to have) a material adverse effect
         on the consolidated financial position, stockholders' equity, results
         of operations, business or prospects of the Company and its
         subsidiaries.

         (u)   Since the date as of which information is given in the Prospectus
         Supplement through the date hereof, and except as may otherwise be
         disclosed in the Prospectus Supplement, the Company has not (i) issued
         or granted any securities (except for shares of Common Stock issued in
         connection with exercises of options and conversions of convertible
         debentures granted under the Company's existing employee benefit plans,
         qualified stock option plans or other employee compensation plans),
         (ii) incurred any liability or obligation, direct or contingent, other
         than liabilities and obligations which were incurred in the ordinary
         course of business, (iii) entered into any transaction not in the
         ordinary course of business or (iv) declared or paid any dividend on
         its capital stock.

         (v)   The Company (i) makes and keeps accurate books and records and
         (ii) maintains internal accounting controls which provide reasonable
         assurance that (A) transactions are executed in accordance with
         management's authorization, (B) transactions are recorded as necessary
         to permit preparation of its financial statements and to maintain
         accountability for its assets, (C) access to its assets is permitted
         only in accordance with management's authorization and (D) the reported
         accountability for its assets is compared with existing assets at
         reasonable intervals.

         (w)   Neither the Company nor any of its subsidiaries (i) is in
         violation of its charter or by-laws, (ii) is in default, and no event
         has occurred which, with notice or lapse of time or both, would
         constitute such a default, in the due performance or observance of any
         term, covenant or condition contained in any indenture, mortgage, deed
         of trust, loan agreement or other agreement or instrument to which it
         is a party or by which it is bound or to which any of its properties or
         assets is subject or (iii) is in violation of any law, ordinance,
         governmental rule, regulation or court decree to which it or its
         property or assets may be subject or has failed to obtain any license,
         permit, certificate, franchise or other governmental authorization or
         permit necessary to the ownership of its property


                                       7



         or to the conduct of its business, which default or violation in the
         case of clauses (ii) and (iii), individually or in the aggregate, is
         reasonably likely to have a material adverse effect on the consolidated
         financial position, stockholders' equity, results of operations,
         business or prospects of the Company and its subsidiaries.

         (x)   Neither the Company nor any of its subsidiaries, nor to the
         knowledge of the Company, any director, officer, agent, employee or
         other person associated with or acting on behalf of the Company or any
         of its subsidiaries, has used any corporate funds for any unlawful
         contribution, gift, entertainment or other unlawful expense relating to
         political activity; made any direct or indirect unlawful payment to any
         foreign or domestic government official or employee from corporate
         funds; violated or is in violation of any provision of the Foreign
         Corrupt Practices Act of 1977; or made any bribe, rebate, payoff,
         influence payment, kickback or other unlawful payment.

         (y)   There has been no storage, disposal, generation, manufacture,
         refinement, transportation, handling or treatment of toxic wastes,
         medical wastes, hazardous wastes or hazardous substances by the Company
         or any of its subsidiaries (or, to the knowledge of the Company, any of
         their predecessors in interest) at, upon or from any of the property
         now or previously owned or leased by the Company or its subsidiaries in
         violation of any applicable law, ordinance, rule, regulation, order,
         judgment, decree or permit or which would require remedial action under
         any applicable law, ordinance, rule, regulation, order, judgment,
         decree or permit, except for any violation or remedial action which
         would not have, or could not be reasonably likely to have, singularly
         or in the aggregate with all such violations and remedial actions, a
         material adverse effect on the consolidated financial position,
         stockholders' equity, results of operations, business or prospects of
         the Company and its subsidiaries; there has been no material spill,
         discharge, leak, emission, injection, escape, dumping or release of any
         kind onto such property or into the environment surrounding such
         property of any toxic wastes, medical wastes, solid wastes, hazardous
         wastes or hazardous substances due to or caused by the Company or any
         of its subsidiaries, except for any such spill, discharge, leak,
         emission, injection, escape, dumping or release which would not have or
         would not be reasonably likely to have, singularly or in the aggregate
         with all such spills, discharges, leaks, emissions, injections,
         escapes, dumpings and releases, a material adverse effect on the
         consolidated financial position, stockholders' equity, results of
         operations, business or prospects of the Company and its subsidiaries;
         and the terms "hazardous wastes", "toxic wastes", "hazardous
         substances" and "medical wastes" shall have the meanings specified in
         any applicable local, state, federal and foreign laws or regulations
         with respect to environmental protection.


                                       8



         (z)   Neither the Company nor any subsidiary is an "investment company"
         within the meaning of such term under the United States Investment
         Company Act of 1940 and the rules and regulations of the Commission
         thereunder.

         (aa)  The Company has established and maintains disclosure controls and
         procedures (as such term is defined in Rule 13a-14 under the Exchange
         Act), which (i) are designed to ensure that material information
         relating to the Company, including its consolidated subsidiaries, is
         made known to the Company's principal executive officer and its
         principal financial officer by others within those entities,
         particularly during the periods in which the periodic reports required
         under the Exchange Act are being prepared; (ii) have been evaluated for
         effectiveness as of the end of the period covered by the Company's most
         recent annual or quarterly report filed with the Commission; and (iii)
         are effective in all material respects to perform the functions for
         which they were established.

         (bb)  Based on the evaluation of its disclosure controls and
         procedures, the Company is not aware of (i) any significant deficiency
         in the design or operation of internal controls over financial
         reporting which are reasonably likely to adversely affect the Company's
         ability to record, process, summarize and report financial data or any
         material weaknesses in internal controls over financial reporting; or
         (ii) any fraud, whether or not material, that involves management or
         other employees who have a significant role in the Company's internal
         controls over financial reporting.

         (cc)  Since the date of the most recent evaluation of such disclosure
         controls and procedures, there have been no significant changes in
         internal controls over financial reporting that has materially
         affected, or is reasonably likely to materially affect, the internal
         controls over financial reporting.

         2.    Purchase of the Stock by the Underwriter. On the basis of the
representations and warranties contained in, and subject to the terms and
conditions of, this Agreement, the Company agrees to sell 10,000,000 shares of
the Firm Stock to the Underwriter, and the Underwriter agrees to purchase all
such shares of the Firm Stock.

         In addition, the Company grants to the Underwriter an option to
purchase up to 1,500,000 shares of Option Stock. Such option is granted for the
purpose of covering over-allotments, if any, in the sale of Firm Stock and is
exercisable as provided in Section 4 hereof. The price of both the Firm Stock
and any Option Stock shall be $23.05 per share.

         The Company shall not be obligated to deliver any of the Stock to be
delivered on any Delivery Date (as hereinafter defined), as the case may be,
except upon payment for all the Stock to be purchased on such Delivery Date as
provided herein.


                                       9



         3.    Offering of Stock by the Underwriter. Upon authorization by the
Underwriter of the release of the Firm Stock, the Underwriter proposes to offer
the Firm Stock for sale upon the terms and conditions set forth in the
Prospectus Supplement.

         4.    Delivery of and Payment for the Stock. Delivery of the Firm Stock
to the Underwriter against payment of the purchase price therefor in immediately
available funds by wire transfer shall be made prior to 1:00 p.m., New York
time, on January 30, 2004, in book-entry form through the facilities of The
Depository Trust Company, New York, New York ("DTC"), or at such other date or
place as shall be determined by agreement between the Underwriter and the
Company. This date and time are sometimes referred to as the "First Delivery
Date." Delivery of the documents required by Section 7 hereof with respect to
Firm Stock shall be made at such time and date at the offices of Vinson & Elkins
L.L.P., 2300 First City Tower, 1001 Fannin, Houston, Texas 77002, or at such
other date or place as shall be determined by agreement between the Underwriter
and the Company.

         The option granted in Section 2 will expire 30 days after the date of
this Agreement and may be exercised in whole or in part from time to time by
written notice being given to the Company by the Underwriter. Such notice shall
set forth the aggregate number of shares of Option Stock as to which the option
is being exercised, the names in which the shares of Option Stock are to be
registered, the denominations in which the shares of Option Stock are to be
issued, as determined by the Underwriter, and the date and time, as determined
by the Underwriter and the Company, when the shares of Option Stock are to be
delivered; provided, however, that this date and time shall not be earlier than
the First Delivery Date nor earlier than the second business day after the date
on which the option shall have been exercised nor later than the fifth business
day after the date on which the option shall have been exercised. The date and
time the shares of Option Stock are delivered are sometimes referred to as a
"Second Delivery Date" and the First Delivery Date and any Second Delivery Date
are sometimes each referred to as a "Delivery Date".

         Delivery of the Option Stock to the Underwriter shall be made in
book-entry form through the facilities of the DTC (or at such place as the
Underwriter and the Company may mutually agree upon), against payment of the
purchase price therefor in immediately available funds by wire transfer. Such
payment and delivery shall be made at 10:00 a.m., New York time, on the Second
Delivery Date (which may be the same as the First Delivery Date), unless some
other date and time are agreed upon.

         5.    Further Agreements of the Company. The Company agrees:

         (a)   To prepare a Prospectus Supplement in a form approved by the
         Underwriter and, not later than the Commission's close of business on
         the second business day following the execution and delivery of this
         Agreement or, if applicable, such earlier time as may be required by
         Rule 430A(a)(3) under the Securities Act, to file a Prospectus
         Supplement pursuant to Rule 424(b) under the Securities Act; to make no
         further amendment to the Registration Statement or Prospectus
         (including any post-effective amendment) or any supplement to the


                                       10



         Prospectus Supplement except as permitted herein; to advise the
         Underwriter, promptly after it receiving notice thereof, of the time
         when any supplement to the Prospectus Supplement has been filed and to
         furnish the Underwriter with copies thereof; to advise the Underwriter,
         promptly after it receiving notice thereof, of the issuance by the
         Commission of any stop order or of any order preventing or suspending
         the use of any Preliminary Prospectus Supplement, the Prospectus
         Supplement, the Registration Statement or the Prospectus, of the
         suspension of the qualification of the Stock for offering or sale in
         any jurisdiction, of the initiation or threatening of any proceeding
         for any such purpose, or of any request by the Commission for the
         amending or supplementing of any Preliminary Prospectus Supplement, the
         Prospectus Supplement, the Registration Statement or the Prospectus or
         for additional information; and, in the event of the issuance of any
         stop order or of any order preventing or suspending the use of any
         Preliminary Prospectus Supplement, the Prospectus Supplement, the
         Registration Statement or the Prospectus or suspending any such
         qualification, to use promptly its best efforts to obtain its
         withdrawal;

         (b)   To furnish promptly to the Underwriter and to its counsel a
         signed copy of the Registration Statement as originally filed with the
         Commission, and each amendment thereto filed with the Commission,
         including all consents and exhibits filed therewith;

         (c)   To deliver promptly to the Underwriter such number of the
         following documents as the Underwriter shall reasonably request: (i)
         conformed copies of the Registration Statement as originally filed with
         the Commission and each amendment thereto (in each case excluding
         exhibits other than this Agreement and the computation of per share
         earnings), (ii) each Preliminary Prospectus Supplement, the Prospectus
         Supplement and any supplemented Prospectus Supplement and (iii) any
         document incorporated by reference in the Prospectus (excluding
         exhibits thereto); and, if the delivery of a Prospectus Supplement is
         required at any time after the Effective Time in connection with the
         offering or sale of the Stock and (i) if at such time any events shall
         have occurred as a result of which the Prospectus Supplement as then
         supplemented would include an untrue statement of a material fact or
         omit to state any material fact necessary in order to make the
         statements therein, in the light of the circumstances under which they
         were made, when such Prospectus Supplement is delivered, not
         misleading, or, (ii) if for any other reason it shall be necessary to
         supplement the Prospectus Supplement or to file under the Exchange Act
         any document incorporated by reference in the Prospectus Supplement in
         order to comply with the Securities Act or the Exchange Act, to notify
         the Underwriter and, upon its request, to file such document and to
         prepare and furnish without charge to the Underwriter and to any dealer
         in securities as many copies as the Underwriter may from time to time
         reasonably request of a supplemented Prospectus


                                       11



         Supplement which will correct such statement or omission or effect such
         compliance.

         (d)   To file promptly with the Commission any amendment to the
         Registration Statement or the Prospectus or any supplement to the
         Prospectus Supplement that may be required, in the judgment of the
         Company and the Underwriter, by the Securities Act or is requested by
         the Commission;

         (e)   During such time as a prospectus is required to be delivered in
         connection with the offering and sale of the Stock, to furnish a copy
         of any amendment to the Registration Statement or supplement to the
         Prospectus Supplement, any document incorporated by reference in the
         Prospectus Supplement or any Prospectus Supplement pursuant to Rule 424
         of the Rules and Regulations to the Underwriter and its counsel and
         obtain the consent of the Underwriter prior to the filing; provided
         that, the foregoing restriction shall not preclude the Company from
         filing any report under the Exchange Act without the consent of the
         Underwriter;

         (f)   As soon as practicable after the Effective Date, to make
         generally available to the Company's security holders and to deliver to
         the Underwriter an earnings statement of the Company and its
         subsidiaries (which need not be audited) complying with Section 11(a)
         of the Securities Act and the Rules and Regulations (including, at the
         option of the Company, Rule 158);

         (g)   For a period of five years following the Effective Date, to
         furnish to the Underwriter copies of all materials furnished by the
         Company to its shareholders and all public reports and all reports and
         financial statements furnished by the Company to the principal national
         securities exchange upon which the Common Stock may be listed pursuant
         to requirements of or agreements with such exchange or to the
         Commission pursuant to the Exchange Act or any rule or regulation of
         the Commission thereunder; provided, however, that the Company shall
         not be required to provide the Underwriter with any such reports,
         registration statements or similar forms that have been filed with the
         Commission by electronic transmission pursuant to EDGAR;

         (h)   Promptly from time to time to take such action as the Underwriter
         may reasonably request to qualify the Stock for offering and sale under
         the securities laws of such jurisdictions as the Underwriter may
         request and to comply with such laws so as to permit the continuance of
         sales and dealings therein in such jurisdictions for as long as may be
         necessary to complete the distribution of the Stock; provided, however,
         that in no event shall the Company be obligated to qualify to do
         business in any jurisdiction where it is not now so qualified or take
         any action that would subject it to service of process in suits (other
         than suits arising out of the offer or sale of the Stock) in any
         jurisdiction where it is not now so subject;


                                       12



         (i)   For a period of 90 days from the date of the Prospectus
         Supplement, not to, directly or indirectly, (1) offer for sale, sell,
         pledge or otherwise dispose of (or enter into any transaction or device
         which is designed to, or could be expected to, result in the
         disposition by any person at any time in the future of) any shares of
         Common Stock or securities convertible into or exchangeable for Common
         Stock (other than the Stock and shares issued pursuant to employee
         benefit plans, qualified stock option plans or other employee
         compensation plans existing on the date hereof or pursuant to currently
         outstanding options, warrants or rights), or sell or grant options,
         rights or warrants with respect to any shares of Common Stock or
         securities convertible into or exchangeable for Common Stock (other
         than the grant of options pursuant to option plans existing on the date
         hereof), or (2) enter into any swap or other derivatives transaction
         that transfers to another, in whole or in part, any of the economic
         benefits or risks of ownership of such shares of Common Stock, whether
         any such transaction described in clause (1) or (2) above is to be
         settled by delivery of Common Stock or other securities, in cash or
         otherwise, in each case without the prior written consent of the
         Underwriter; and to cause each officer and director of the Company
         listed on Schedule 2 to agree, prior to the First Delivery Date, to the
         terms of the lock-up agreement in the form of Exhibit A attached
         hereto; and to take appropriate measures to ensure that such
         individuals comply with the terms thereof.

         (j)   To promptly apply for the listing of the Stock on the New York
         Stock Exchange, Inc. and the Pacific Exchange--Stock & Options and to
         use its reasonable best efforts to complete that listing prior to
         Closing, subject only to official notice of issuance;

         (k)   To apply the net proceeds from the sale of the Stock being sold
         by the Company as set forth in the Prospectus Supplement; and

         (l)   To take such steps as shall be necessary to ensure that neither
         the Company nor any subsidiary shall become an "investment company"
         within the meaning of such term under the United States Investment
         Company Act of 1940 and the rules and regulations of the Commission
         thereunder.

         6.    Expenses. The Company agrees to pay (a) the costs incident to the
authorization, issuance, sale and delivery of the Stock and any taxes payable in
that connection; (b) the costs incident to the preparation, printing and filing
under the Securities Act of the Registration Statement and any amendments and
exhibits thereto; (c) the costs of distributing the Registration Statement as
originally filed and each amendment thereto and any post-effective amendments
thereof (including, in each case, exhibits), any Preliminary Prospectus
Supplement, the Prospectus Supplement and any supplement to the Prospectus
Supplement and any document incorporated by reference therein, all as provided
in this Agreement; (d) the costs of producing and distributing this Agreement
and any other related documents in connection with the offering, purchase, sale
and delivery of the Stock; (e) the filing fees incident to securing any required
review by the National Association of Securities Dealers, Inc. of the terms of
sale of the Stock;


                                       13



(f) the fees and expenses of listing the Stock on the New York Stock Exchange,
Inc. and the Pacific Exchange--Stock & Options; (g) the fees and expenses of
qualifying the Stock under the securities laws of the several jurisdictions as
provided in Section 5(h) and of preparing, printing and distributing a Blue Sky
Memorandum (including related fees and expenses of counsel to the Underwriter);
and (i) all other costs and expenses incident to the performance of the
obligations of the Company under this Agreement; provided that, except as
provided in this Section 6 and in Section 11, the Underwriter shall pay its own
costs and expenses, including the costs and expenses of its counsel, any
transfer taxes on the Stock which it may sell and the expenses of advertising
any offering of the Stock made by the Underwriter.

         7.    Conditions of Underwriter's Obligations. The obligations of the
Underwriter hereunder are subject to the accuracy, when made and on each
Delivery Date, of the representations and warranties of the Company contained
herein, to the performance by the Company of its obligations hereunder, and to
each of the following additional terms and conditions:

         (a)   The Prospectus Supplement shall have been timely filed with the
         Commission in accordance with Section 5(a); no stop order suspending
         the effectiveness of the Registration Statement or any part thereof
         shall have been issued and no proceeding for that purpose shall have
         been initiated or threatened by the Commission; and any request of the
         Commission for inclusion of additional information in the Registration
         Statement or the Prospectus Supplement or otherwise shall have been
         complied with.

         (b)   The Underwriter shall not have discovered and disclosed to the
         Company on or prior to such Delivery Date that the Registration
         Statement or the Prospectus Supplement or any amendment or supplement
         thereto contains an untrue statement of a fact which is material or
         omits to state a fact which is material and is required to be stated
         therein or is necessary to make the statements therein not misleading.

         (c)   All corporate proceedings and other legal matters incident to the
         authorization, form and validity of this Agreement, the Stock, the
         Registration Statement and the Prospectus Supplement, and all other
         legal matters relating to this Agreement and the transactions
         contemplated hereby shall be reasonably satisfactory in all material
         respects to counsel for the Underwriter, and the Company shall have
         furnished to such counsel all documents and information that they may
         reasonably request to enable them to pass upon such matters.

         (d)   Andrews Kurth LLP shall have furnished to the Underwriter its
         written opinion, as counsel to the Company, addressed to the
         Underwriter and dated such Delivery Date, in form and substance
         reasonably satisfactory to the Underwriter, to the effect that:


                                       14



             (i) The Company and each of its Significant Subsidiaries (other
         than Rowan International, Inc.) are corporations validly existing and
         in good standing under the laws of their respective jurisdictions of
         incorporation; the Company and the Significant Subsidiaries are duly
         qualified to do business and are in good standing as foreign
         corporations in each jurisdiction in which their respective ownership
         or lease of property or the conduct of their respective businesses
         requires such qualification (in each case, except where the failure to
         so qualify or be in good standing would not have a material adverse
         effect on the consolidated financial position, stockholders' equity,
         results of operations, business or prospects of the Company and the
         Significant Subsidiaries) and have all power and authority necessary to
         own or hold their respective properties and conduct the businesses in
         which they are engaged;

             (ii) There are no preemptive or other rights to subscribe for or to
         purchase, nor any restriction upon the voting or transfer of, any
         shares of the Stock pursuant to the Company's charter or by-laws or any
         agreement or other instrument known to such counsel;

             (iii) The authorized capital stock of the Company as of September
         30, 2003 is as set forth in the Prospectus Supplement, and the capital
         stock of the Company conforms in all material respects to the
         description thereof contained in the Prospectus. Except as disclosed in
         the Prospectus Supplement (and except for shares of Common Stock issued
         in connection with exercises of options and conversions of convertible
         debentures granted under the Company's existing employee benefit plans,
         qualified stock option plans or other employee compensation plans),
         there are no outstanding options or warrants to purchase any shares of
         capital stock of the Company or securities convertible into or
         exchangeable for any shares of capital stock of the Company. The
         Company has all requisite corporate power and authority to issue, sell
         and deliver the Stock in accordance with and upon the terms and
         conditions set forth in this Agreement and in the Registration
         Statement and Prospectus Supplement. The issuance of the Stock has been
         duly and validly authorized and, when issued and paid for by the
         Underwriter in accordance with the terms of this Agreement, the Stock
         will be fully paid and nonassessable. All of the issued shares of
         capital stock of each Significant Subsidiary of the Company have been
         duly and validly authorized and issued and are fully paid,
         non-assessable and are owned directly or indirectly by the Company,
         free and clear of all liens, encumbrances, equities or claims; the
         Stock is approved for listing, subject to official notice of issuance
         on the New York Stock Exchange and the Pacific Exchange - Stock &
         Options;


                                       15



             (iv) To the best of such counsel's knowledge and other than as set
         forth in the Prospectus Supplement, there are no legal or governmental
         proceedings pending to which the Company or any of its subsidiaries is
         a party or of which any property or assets of the Company or any of its
         subsidiaries is the subject, and of a character required to be
         disclosed in the Registration Statement which are not adequately
         disclosed in the Registration Statement;

             (v) The Registration Statement has become effective under the
         Securities Act as of the date and time specified in such opinion, and
         to the best of such counsel's knowledge, no stop order suspending the
         effectiveness of the Registration Statement has been issued, no
         proceeding for that purpose is pending or threatened by the Commission
         and all filings required by Rule 424(b) of the Rules and Regulations
         have been made;

             (vi) The Registration Statement and the Prospectus and any further
         amendments or supplements thereto made by the Company prior to such
         Delivery Date (other than the financial statements and related
         schedules therein, as to which such counsel need express no opinion)
         comply as to form in all material respects with the requirements of the
         Securities Act and the Rules and Regulations; the documents
         incorporated by reference in the Prospectus Supplement, when they
         became effective or were filed with the Commission, as the case may be,
         complied as to form in all material respects with the requirements of
         the Securities Act or the Exchange Act, as applicable, and the Rules
         and Regulations and the 1934 Act Regulations, as applicable,
         thereunder;

             (vii) To the best of such counsel's knowledge, there are no
         contracts or other documents which are required to be described in the
         Prospectus or filed as exhibits to the Registration Statement by the
         Securities Act or by the Rules and Regulations which have not been
         described in the Prospectus or filed as exhibits to the Registration
         Statement or incorporated therein by reference as permitted by the
         Rules and Regulations;

             (viii) This Agreement has been duly authorized, executed and
         delivered by the Company;

             (ix) The execution and delivery of this Agreement and the
         consummation of the transactions contemplated hereby will not conflict
         with or result in a breach or violation of, or constitute a default
         under, the certificate of incorporation or by-laws of the Company or
         any indenture, mortgage, deed of trust, loan agreement or other
         agreement or instrument (in each case, that is filed as an exhibit to
         the Registration Statement or is incorporated therein pursuant to the
         Rules and Regulations) to which the


                                       16



         Company or any of its Significant Subsidiaries is a party or by which
         the Company or any of its Significant Subsidiaries is bound or to
         which any of the property or assets of the Company or any of its
         Significant Subsidiaries is subject, nor will such actions result in
         any violation of any law, rule or administrative regulation, or any
         decree known to such counsel, of any court or governmental agency or
         body having jurisdiction over the Company, its Significant Subsidiaries
         or their property, or result in the creation of any lien, charge, claim
         or encumbrance upon any property or asset of the Company or any of its
         Significant Subsidiaries; and, except for the registration of the Stock
         under the Securities Act and any consents, approvals, authorizations,
         registrations or qualifications as may be required under the Exchange
         Act and applicable state or foreign securities laws in connection with
         the purchase and distribution of the Stock by the Underwriter, no
         consent, approval, authorization or order of, or filing or registration
         with, any such court or governmental agency or body is required for the
         execution, delivery and performance of this Agreement by the Company
         and the consummation of the transactions contemplated hereby; and

             (x) There are no contracts, agreements or understandings between
         the Company and any person granting such person the right to require
         the Company to file a registration statement under the Securities Act
         with respect to any securities of the Company owned or to be owned by
         such person or to require the Company to include such securities in the
         securities registered pursuant to the Registration Statement.

         In rendering such opinion, such counsel may state that its opinion is
         limited to matters governed by the Federal laws of the United States
         of America, the laws of the States of Texas and New York and the
         General Corporation Law of the State of Delaware. Such counsel shall
         also have furnished to the Underwriter a written statement, addressed
         to the Underwriter and dated such Delivery Date, in form and substance
         satisfactory to the Underwriter, to the effect that (x) such counsel
         has acted as counsel to the Company on a regular basis (although the
         Company is also represented by its General Counsel), has acted as
         counsel to the Company in connection with previous financing
         transactions and has acted as counsel to the Company in connection
         with the preparation of the Registration Statement, and (y) based on
         the foregoing, no facts have come to the attention of such counsel
         which lead it to believe that (I) the Registration Statement, as of
         the Effective Date, contained any untrue statement of a material fact
         or omitted to state a material fact required to be stated therein or
         necessary in order to make the statements therein not misleading, or
         that the Prospectus or the Prospectus Supplement contains any untrue
         statement of a material fact or omits to state a material fact required
         to be stated therein or necessary in order to make the statements
         therein, in light of the circumstances under which they were made,


                                       17



         not misleading or (II) any document incorporated by reference in the
         Prospectus Supplement, when they became effective or were filed with
         the Commission, as the case may be, contained in the case of a
         registration statement which became effective under the Securities
         Act, any untrue statement of a material fact or omitted to state a
         material fact required to be stated therein or necessary in order to
         make the statements therein not misleading, or, in the case of other
         documents which were filed under the Exchange Act with the Commission,
         an untrue statement of a material fact or omitted to state a material
         fact necessary in order to make the statements therein, in light of
         the circumstances under which they were made, not misleading. The
         foregoing opinion and statement may be qualified by a statement to the
         effect that such counsel does not assume any responsibility for the
         accuracy, completeness or fairness of the statements contained in the
         Registration Statement, the Prospectus or the Prospectus Supplement
         except for the statements made in the Prospectus under the section
         referenced in clause (iii) above, insofar as such statements relate
         to the Stock and concern legal matters.

         The opinions requested in subsection (d)(i) and (d)(iii) above with
         respect to the Significant Subsidiaries and options, warrants or
         convertible debentures outstanding, in subsection (d)(iv) above with
         respect to legal proceedings, in subsection (d)(vii) above with
         respect to contracts, in subsection (d)(ix) above with respect to no
         conflicts, breaches, violations, defaults or creation or imposition
         of liens, charges, claims or encumbrances and in subsection (d)(x)
         above with respect to registration rights may be rendered by John
         Buvens, Senior Vice President, Legal of the Company. The opinion
         rendered by Mr. Buvens shall also include a statement covering the
         matters set forth under clause (y) in the immediately preceding
         paragraph.

         (e)   The Underwriter shall have received from Vinson & Elkins L.L.P.,
         counsel for the Underwriter, such opinion or opinions, dated such
         Delivery Date, with respect to the issuance and sale of the Stock, the
         Registration Statement, the Prospectus, the Prospectus Supplement and
         other related matters as the Underwriter may reasonably require, and
         the Company shall have furnished to such counsel such documents as they
         reasonably request for the purpose of enabling them to pass upon such
         matters.

         (f)   At the time of execution of this Agreement, the Underwriter shall
         have received from Deloitte & Touche LLP a letter, in form and
         substance satisfactory to the Underwriter, addressed to the Underwriter
         and dated the date hereof (i) confirming that they are independent
         public accountants within the meaning of the Securities Act and are in
         compliance with the applicable requirements relating to the
         qualification of accountants under Rule 2-01 of Regulation S-X of the
         Commission, (ii) stating, as of the date hereof (or, with respect to
         matters involving changes or developments since the respective dates as
         of which specified financial information is given in the Prospectus
         Supplement, as of a date


                                       18



         not more than five days prior to the date hereof), the conclusions and
         findings of such firm with respect to the financial information and
         other matters ordinarily covered by accountants' "comfort letters" to
         underwriters in connection with registered public offerings.

         (g)   With respect to the letter of Deloitte & Touche LLP referred to
         in the preceding paragraph and delivered to the Underwriter
         concurrently with the execution of this Agreement (the "initial
         letter"), the Company shall have furnished to the Underwriter a letter
         (the "bring-down letter") of such accountants, addressed to the
         Underwriter and dated such Delivery Date, (i) confirming that they are
         independent public accountants within the meaning of the Securities Act
         and are in compliance with the applicable requirements relating to the
         qualification of accountants under Rule 2-01 of Regulation S-X of the
         Commission, (ii) stating, as of the date of the bring-down letter (or,
         with respect to matters involving changes or developments since the
         respective dates as of which specified financial information is given
         in the Prospectus Supplement, as of a date not more than five days
         prior to the date of the bring-down letter), the conclusions and
         findings of such firm with respect to the financial information and
         other matters covered by the initial letter and (iii) confirming in all
         material respects the conclusions and findings set forth in the initial
         letter.

         (h)   The Company shall have furnished to the Underwriter a
         certificate, dated such Delivery Date, of its Chairman of the Board,
         its President or a Vice President and its Chief Financial Officer
         stating that:

                   (i) The representations, warranties and agreements of the
               Company in Section 1 are true and correct as of such Delivery
               Date; the Company has complied with all its agreements contained
               herein; and the conditions set forth in Sections 7(a) and 7(i)
               have been fulfilled; and

                   (ii) They have carefully examined the Registration Statement,
               the Prospectus and the Prospectus Supplement and, in their
               opinion (A) as of the Effective Date, the Registration Statement,
               the Prospectus and the Prospectus Supplement did not include any
               untrue statement of a material fact and did not omit to state a
               material fact required to be stated therein or necessary to make
               the statements therein not misleading, and (B) since the
               Effective Date no event has occurred which should have been set
               forth in a supplement or amendment to the Registration Statement
               or the Prospectus.

         (i)   Neither the Company nor any of its subsidiaries shall have
         sustained since the date of the latest audited financial statements
         included or incorporated by reference in the Prospectus Supplement any
         loss or interference with its business from fire, explosion, flood or
         other calamity, whether or not covered by insurance, or from any labor
         dispute or court or governmental action, order or decree, otherwise
         than as set forth or contemplated in the Prospectus Supplement or (ii)


                                       19



         since such date there shall not have been any change in the capital
         stock or long-term debt of the Company or any of its subsidiaries or
         any change, or any development involving a prospective change, in or
         affecting the general affairs, management, financial position,
         stockholders' equity or results of operations of the Company and its
         subsidiaries, otherwise than as set forth or contemplated in the
         Prospectus Supplement (and except for shares of Common Stock issued in
         connection with exercises of options and conversions of convertible
         debentures granted under the Company's existing employee benefit plans,
         qualified stock option plans or other employee compensation plans), the
         effect of which, in any such case described in clause (i) or (ii), is,
         in the judgment of the Underwriter, so material and adverse as to make
         it impracticable or inadvisable to proceed with the public offering or
         the delivery of the Stock being delivered on such Delivery Date on the
         terms and in the manner contemplated in the Prospectus Supplement.

         (j)   Subsequent to the execution and delivery of this Agreement (i) no
         downgrading shall have occurred in the rating accorded the Company's
         debt securities by any "nationally recognized statistical rating
         organization", as that term is defined by the Commission for purposes
         of Rule 436(g)(2) of the Rules and Regulations and (ii) no such
         organization shall have publicly announced that it has under
         surveillance or review, with possible negative implications, its rating
         of any of the Company's debt securities.

         (k)   Subsequent to the execution and delivery of this Agreement there
         shall not have occurred any of the following: (i) trading in securities
         generally on the New York Stock Exchange or the American Stock Exchange
         or in the over-the-counter market, or trading in any securities of the
         Company on any exchange or in the over-the-counter market, shall have
         been suspended or the settlement of such trading shall have been
         materially disrupted or minimum prices shall have been established on
         any such exchange or such market by the Commission, by such exchange or
         by any other regulatory body or governmental authority having
         jurisdiction, (ii) a banking moratorium shall have been declared by
         Federal or state authorities, (iii) the United States shall have become
         engaged in hostilities, there shall have been an escalation in
         hostilities involving the United States or there shall have been a
         declaration of a national emergency or war by the United States or (iv)
         there shall have occurred such a material adverse change in general
         economic, political or financial conditions, including without
         limitation as a result of terrorist activities after the date hereof
         (or the effect of international conditions on the financial markets in
         the United States shall be such), as to make it, in the judgment of the
         Underwriter, impracticable or inadvisable to proceed with the public
         offering or delivery of the Stock being delivered on such Delivery Date
         on the terms and in the manner contemplated in the Prospectus
         Supplement.

         (l)   The New York Stock Exchange, Inc. shall have approved the Stock
         for listing, subject only to official notice of issuance.


                                       20



         All opinions, letters, evidence and certificates mentioned above or
         elsewhere in this Agreement shall be deemed to be in compliance with
         the provisions hereof only if they are in form and substance reasonably
         satisfactory to counsel for the Underwriter.

         8.    Indemnification and Contribution.

         (a)   The Company shall indemnify and hold harmless the Underwriter,
         its officers and employees and each person, if any, who controls any
         Underwriter within the meaning of the Securities Act, from and against
         any loss, claim, damage or liability, joint or several, or any action
         in respect thereof (including, but not limited to, any loss, claim,
         damage, liability or action relating to purchases and sales of Stock),
         to which that Underwriter, officer, employee or controlling person may
         become subject, under the Securities Act or otherwise, insofar as such
         loss, claim, damage, liability or action arises out of, or is based
         upon, (i) any untrue statement or alleged untrue statement of a
         material fact contained in any Preliminary Prospectus Supplement, the
         Prospectus Supplement, the Registration Statement or the Prospectus or
         in any amendment or supplement thereto, (ii) the omission or alleged
         omission to state in any Preliminary Prospectus Supplement, the
         Prospectus Supplement, the Registration Statement or the Prospectus, or
         in any amendment or supplement thereto, or in any Blue Sky Application
         any material fact required to be stated therein or necessary to make
         the statements therein not misleading or (iii) any act or failure to
         act or any alleged act or failure to act by the Underwriter in
         connection with, or relating in any manner to, the Stock or the
         offering contemplated hereby, and which is included as part of or
         referred to in any loss, claim, damage, liability or action arising out
         of or based upon matters covered by clause (i) or (ii) above (provided
         that the Company shall not be liable under this clause (iii) to the
         extent that it is determined in a final judgment by a court of
         competent jurisdiction that such loss, claim, damage, liability or
         action resulted directly from any such acts or failures to act
         undertaken or omitted to be taken by the Underwriter through its gross
         negligence or willful misconduct), and shall reimburse the Underwriter
         and each such officer, employee or controlling person promptly upon
         demand for any legal or other expenses reasonably incurred by the
         Underwriter, officer, employee or controlling person in connection with
         investigating or defending or preparing to defend against any such
         loss, claim, damage, liability or action as such expenses are incurred;
         provided, however, that the Company shall not be liable in any such
         case to the extent that any such loss, claim, damage, liability or
         action arises out of, or is based upon, any untrue statement or alleged
         untrue statement or omission or alleged omission made in any
         Preliminary Prospectus Supplement, the Prospectus Supplement, the
         Registration Statement or the Prospectus, or in any such amendment or
         supplement, in reliance upon and in conformity with written information
         concerning such Underwriter furnished to the Company through the
         Underwriter by or on behalf of any Underwriter specifically for
         inclusion therein


                                       21



         which information consists solely of the information specified in
         Section 8(e). The foregoing indemnity agreement is in addition to any
         liability which the Company may otherwise have to any Underwriter or to
         any officer, employee or controlling person of the Underwriter;
         provided, however, that with respect to any untrue statement or
         omission made in any Preliminary Prospectus Supplement, the indemnity
         agreement contained in this Section 8(a) shall not inure to the benefit
         of the Underwriter from whom the person asserting any such losses,
         claims, damages or liabilities purchased the Stock concerned if, to the
         extent such sale was an initial sale by the Underwriter and any such
         loss, claim, damage or liability of the Underwriter is a result of the
         fact that both (A) a copy of the Prospectus was not sent or given to
         such person at or prior to the time of the written confirmation of the
         sale of such Stock to such person, and (B) the untrue statement or
         omission in any Preliminary Prospectus Supplement was corrected in the
         Prospectus Supplement; provided further, however, that this limitation
         shall have no effect unless the Company has complied with its
         obligation under Section 5(c) of this Agreement and the Underwriter has
         a legal obligation to deliver a Prospectus Supplement to the person
         asserting any such losses, claims, damages or liabilities.

         (b)   The Underwriter shall indemnify and hold harmless the Company,
         its officers who have signed the Registration Statement, each of its
         directors, and each person, if any, who controls the Company within the
         meaning of the Securities Act, from and against any loss, claim, damage
         or liability, joint or several, or any action in respect thereof, to
         which the Company or any such director, officer or controlling person
         may become subject, under the Securities Act or otherwise, insofar as
         such loss, claim, damage, liability or action arises out of, or is
         based upon, (i) any untrue statement or alleged untrue statement of a
         material fact contained (A) in any Preliminary Prospectus Supplement,
         the Prospectus Supplement, the Registration Statement or the Prospectus
         or in any amendment or supplement thereto, or (B) in any Blue Sky
         Application or (ii) the omission or alleged omission to state in any
         Preliminary Prospectus Supplement, the Prospectus Supplement, the
         Registration Statement or the Prospectus, or in any amendment or
         supplement thereto, or in any Blue Sky Application any material fact
         required to be stated therein or necessary to make the statements
         therein not misleading, but in each case only to the extent that the
         untrue statement or alleged untrue statement or omission or alleged
         omission was made in reliance upon and in conformity with written
         information concerning the Underwriter furnished to the Company by or
         on behalf of that Underwriter specifically for inclusion therein, and
         shall reimburse the Company and any such director, officer or
         controlling person for any legal or other expenses reasonably incurred
         by the Company or any such director, officer or controlling person in
         connection with investigating or defending or preparing to defend
         against any such loss, claim, damage, liability or action as such
         expenses are incurred. The foregoing indemnity agreement is in addition
         to any liability which the


                                       22



         Underwriter may otherwise have to the Company or any such director,
         officer, employee or controlling person.

         (c)   Promptly after receipt by an indemnified party under this
         Section 8 of notice of any claim or the commencement of any action, the
         indemnified party shall, if a claim in respect thereof is to be made
         against the indemnifying party under this Section 8, notify the
         indemnifying party in writing of the claim or the commencement of that
         action; provided, however, that the failure to notify the indemnifying
         party shall not relieve it from any liability which it may have under
         this Section 8 except to the extent it has been materially prejudiced
         by such failure and, provided further, that the failure to notify the
         indemnifying party shall not relieve it from any liability which it may
         have to an indemnified party otherwise than under this Section 8. If
         any such claim or action shall be brought against an indemnified party,
         and it shall notify the indemnifying party thereof, the indemnifying
         party shall be entitled to participate therein and, to the extent that
         it wishes, jointly with any other similarly notified indemnifying
         party, to assume the defense thereof with counsel reasonably
         satisfactory to the indemnified party. After notice from the
         indemnifying party to the indemnified party of its election to assume
         the defense of such claim or action, the indemnifying party shall not
         be liable to the indemnified party under this Section 8 for any legal
         or other expenses subsequently incurred by the indemnified party in
         connection with the defense thereof other than reasonable costs of
         investigation; provided, however, that the Underwriter shall have the
         right to employ counsel to represent the Underwriter and its officers,
         employees and controlling persons who may be subject to liability
         arising out of any claim in respect of which indemnity may be sought by
         the Underwriter against the Company under this Section 8 if, in the
         reasonable judgment of the Underwriter, it is advisable for the
         Underwriter and those officers, employees and controlling persons to be
         jointly represented by separate counsel, and in that event the fees and
         expenses of such separate counsel shall be paid by the Company, it
         being understood, however, that the indemnifying party shall not, in
         connection with any one such action or separate but substantially
         similar or related actions in the same jurisdiction arising out of the
         same general allegations or circumstances, be liable for the fees and
         expenses of more than one separate firm of attorneys (in addition to
         the fees and expenses of any local counsel that may be retained for the
         action) for all such indemnified parties. No indemnifying party shall
         (i) without the prior written consent of the indemnified parties (which
         consent shall not be unreasonably withheld), settle or compromise or
         consent to the entry of any judgment with respect to any pending or
         threatened claim, action, suit or proceeding in respect of which
         indemnification or contribution may be sought hereunder (whether or not
         the indemnified parties are actual or potential parties to such claim
         or action) unless such settlement, compromise or consent includes an
         unconditional release of each indemnified party from all liability
         arising out of such claim, action, suit or proceeding, or (ii) be
         liable for any settlement of any such action effected without its
         written consent


                                       23



         (which consent shall not be unreasonably withheld), but if settled with
         the consent of the indemnifying party or if there be a final judgment
         of the plaintiff in any such action, the indemnifying party agrees to
         indemnify and hold harmless any indemnified party from and against any
         loss or liability by reason of such settlement or judgment.

         (d)   If the indemnification provided for in this Section 8 shall for
         any reason be unavailable to or insufficient to hold harmless an
         indemnified party under Section 8(a) or 8(b) in respect of any loss,
         claim, damage or liability, or any action in respect thereof, referred
         to therein, then each indemnifying party shall, in lieu of indemnifying
         such indemnified party, contribute to the amount paid or payable by
         such indemnified party as a result of such loss, claim, damage or
         liability, or action in respect thereof, (i) in such proportion as
         shall be appropriate to reflect the relative benefits received by the
         Company on the one hand and the Underwriter on the other from the
         offering of the Stock or (ii) if the allocation provided by clause (i)
         above is not permitted by applicable law, in such proportion as is
         appropriate to reflect not only the relative benefits referred to in
         clause (i) above but also the relative fault of the Company on the one
         hand and the Underwriter on the other with respect to the statements or
         omissions which resulted in such loss, claim, damage or liability, or
         action in respect thereof, as well as any other relevant equitable
         considerations. The relative benefits received by the Company on the
         one hand and the Underwriter on the other with respect to such offering
         shall be deemed to be in the same proportion as the total net proceeds
         from the offering of the Stock purchased under this Agreement (before
         deducting expenses) received by the Company on the one hand, and the
         total underwriting discounts and commissions received by the
         Underwriter with respect to the shares of the Stock purchased under
         this Agreement on the other hand, bear to the total gross proceeds from
         the offering of the shares of the Stock under this Agreement, in each
         case as set forth on the cover page of the Prospectus Supplement. The
         relative fault shall be determined by reference to whether the untrue
         or alleged untrue statement of a material fact or omission or alleged
         omission to state a material fact relates to information supplied by
         the Company or the Underwriter, the intent of the parties and their
         relative knowledge, access to information and opportunity to correct or
         prevent such statement or omission. The Company and the Underwriter
         agree that it would not be just and equitable if contributions pursuant
         to this Section 8 were to be determined by pro rata allocation or by
         any other method of allocation which does not take into account the
         equitable considerations referred to herein. The amount paid or payable
         by an indemnified party as a result of the loss, claim, damage or
         liability, or action in respect thereof, referred to above in this
         Section 8 shall be deemed to include, for purposes of this Section
         8(d), any legal or other expenses reasonably incurred by such
         indemnified party in connection with investigating or defending any
         such action or claim. Notwithstanding the provisions of this Section
         8(d), the Underwriter shall not be required to contribute any amount in
         excess of the


                                       24



         amount by which the total price at which the Stock underwritten by it
         and distributed to the public was offered to the public exceeds the
         amount of any damages which the Underwriter has otherwise paid or
         become liable to pay by reason of any untrue or alleged untrue
         statement or omission or alleged omission. No person guilty of
         fraudulent misrepresentation (within the meaning of Section 11(f) of
         the Securities Act) shall be entitled to contribution from any person
         who was not guilty of such fraudulent misrepresentation.

         (e)   The Underwriter confirms and the Company acknowledges that the
         statements with respect to (i) the public offering of the Stock by the
         Underwriter and the over-allotment option set forth on the cover page
         of, (ii) the identity of the Underwriter, the statement as to the
         Underwriter's participation in the sale of Stock, and the Underwriter's
         proposal to offer the Stock to the public under the caption
         "Underwriting" in, and (iii) the paragraphs addressing the commissions
         and expenses, over-allotment option, and affiliates under the caption
         "Underwriting" in, the Prospectus Supplement are correct and constitute
         the only information concerning the Underwriter furnished in writing to
         the Company by or on behalf of the Underwriter specifically for
         inclusion in the Registration Statement, the Prospectus and the
         Prospectus Supplement.

         9.    Default by Underwriter. If, on any Delivery Date, the Underwriter
defaults in the performance of its obligations under this Agreement, this
Agreement (or, with respect to the Second Delivery Date, the obligation of the
Underwriter to purchase, and of the Company to sell, the Option Stock) shall
terminate. Nothing contained herein shall relieve the Underwriter of any
liability it may have to the Company for damages caused by its default.

         10.    Termination. The obligations of the Underwriter hereunder may be
terminated by the Underwriter by notice given to and received by the Company
prior to delivery of and payment for the Firm Stock if, prior to that time, any
of the events described in Sections 7(i), 7(j) or 7(k), shall have occurred or
if the Underwriter shall decline to purchase the Stock for any reason permitted
under this Agreement.

         11.   Reimbursement of Underwriter's Expenses. If the Company shall
fail to tender the Stock for delivery to the Underwriter by reason of any
failure, refusal or inability on the part of the Company to perform any
agreement on its part to be performed, or because any other condition of the
Underwriter's obligations hereunder required to be fulfilled by the Company is
not fulfilled, the Company will reimburse the Underwriter for all reasonable
out-of-pocket expenses (including fees and disbursements of counsel) incurred by
the Underwriter in connection with this Agreement and the proposed purchase of
the Stock, and upon demand the Company shall pay the full amount thereof to the
Underwriter. If this Agreement is terminated pursuant to Section 9 by reason of
the default of the Underwriter, the Company shall not be obligated to reimburse
the Underwriter on account of the Underwriter's expenses.

         12.   Notices, etc. All statements, requests, notices and agreements
hereunder shall be in writing, and:


                                       25



         (a)    if to the Underwriter, shall be delivered or sent by mail, telex
         or facsimile transmission to Lehman Brothers Inc., 1285 Avenue of the
         Americas, 13th Floor, New York, New York 10019, Attention: Syndicate
         Registration Department (Fax: 212-526-0943), with a copy, in the case
         of any notice pursuant to Section 8(c), to the Director of Litigation,
         Office of the General Counsel, Lehman Brothers Inc., 399 Park Avenue,
         10th Floor, New York, NY 10022;

         (b)    if to the Company, shall be delivered or sent by mail, telex or
         facsimile transmission to the address of the Company set forth in the
         Registration Statement, Attention: General Counsel (Fax: (713)
         960-7658);

Any such statements, requests, notices or agreements shall take effect at the
time of receipt thereof.

         13.   Persons Entitled to Benefit of Agreement. This Agreement shall
inure to the benefit of and be binding upon the Underwriter, the Company and
their respective successors. This Agreement and the terms and provisions hereof
are for the sole benefit of only those persons, except that (A) the
representations, warranties, indemnities and agreements of the Company contained
in this Agreement shall also be deemed to be for the benefit of the person or
persons, if any, who control the Underwriter within the meaning of Section 15 of
the Securities Act and (B) the indemnity agreement of the Underwriter contained
in Section 8(b) of this Agreement shall be deemed to be for the benefit of
directors of the Company, officers of the Company who have signed the
Registration Statement and any person controlling the Company within the meaning
of Section 15 of the Securities Act. Nothing in this Agreement is intended or
shall be construed to give any person, other than the persons referred to in
this Section 13, any legal or equitable right, remedy or claim under or in
respect of this Agreement or any provision contained herein.

         14.   Survival. The respective indemnities, representations, warranties
and agreements of the Company and the Underwriter contained in this Agreement or
made by or on its behalf, respectively, pursuant to this Agreement, shall
survive the delivery of and payment for the Stock and shall remain in full force
and effect, regardless of any investigation made by or on behalf of any of them
or any person controlling any of them.

         15.   Definition of the Term "Business Day." For purposes of this
Agreement, "business day" means each Monday, Tuesday, Wednesday, Thursday or
Friday which is not a day on which banking institutions in New York are
generally authorized or obligated by law or executive order to close.

         16.   Governing Law. This Agreement shall be governed by and construed
in accordance with the laws of the State of New York.

         17.   Conflicts. The Company and the Underwriter acknowledge that
Andrews Kurth LLP, which will be acting as counsel to the Company in connection
with the offer and sale of the Stock, also acts as counsel from time to time to
the Underwriter in connection with


                                       26



unrelated matters. The Company and the Underwriter consent to Andrews Kurth LLP
so acting as counsel to the Company. The Company and the Underwriter also
acknowledge that Vinson & Elkins L.L.P., which is acting as counsel to the
Underwriter in connection with the offer and sale of Stock, also acts as counsel
from time to time to the Company in connection with unrelated matters. The
Company and the Underwriter consent to Vinson & Elkins L.L.P. so acting as
counsel to the Underwriter.

         18.   Counterparts. This Agreement may be executed in one or more
counterparts and, if executed in more than one counterpart, the executed
counterparts shall each be deemed to be an original but all such counterparts
shall together constitute one and the same instrument.

         19.   Headings. The headings herein are inserted for convenience of
reference only and are not intended to be part of, or to affect the meaning or
interpretation of, this Agreement.


                                       27



  If the foregoing correctly sets forth the agreement between the Company and
the Underwriter, please indicate your acceptance in the space provided for that
purpose below.

                                    Very truly yours,

                                    ROWAN COMPANIES, INC.

                                    By:  /s/ E. E. Thiele
                                         --------------------------------------
                                         Name: E. E. Thiele
                                         Title: Senior Vice President, Finance,
                                                Administration and Treasurer

Accepted:

LEHMAN BROTHERS INC.


By:  /s/ James E. Saxton
     ------------------------------
     Authorized Representative


                    Signature Page -- Rowan Companies, Inc.



                                   SCHEDULE 1


Significant Subsidiaries

Era Aviation, Inc. (Washington)
Rowan International, Inc. (Panama)
Rowandrill, Inc. (Texas)
Rowan  Drilling Company, Inc. (Texas)
Atlantic Maritime Services, Inc. (Texas)
LeTourneau, Inc. (Texas)



                                   SCHEDULE 2


Executive Officers and Directors:

Boswell
Croyle
Eckermann
Johnson
Lausen
Lentz
McNease
Palmer
Person
Provine
Thiele



                                    EXHIBIT A

                            LOCK-UP LETTER AGREEMENT


LEHMAN BROTHERS INC.
745 Seventh Avenue
New York, NY   10019

Dear Sirs:

         The undersigned understands that you and certain other firms propose to
enter into an Underwriting Agreement (the "Underwriting Agreement") providing
for the purchase by you (the "Underwriter") of shares (the "Shares") of Common
Stock, par value $0.125 per share (the "Common Stock"), of Rowan Companies, Inc.
(the "Company") and that the Underwriter proposes to reoffer the Shares to the
public (the "Offering").

         In consideration of the execution of the Underwriting Agreement by the
Underwriter, and for other good and valuable consideration, the undersigned
hereby irrevocably agrees that, without your prior written consent, the
undersigned will not, directly or indirectly, (1) offer for sale, sell, pledge,
or otherwise dispose of (or enter into any transaction or device that is
designed to, or could be expected to, result in the disposition by any person at
any time in the future of) any shares of Common Stock (including, without
limitation, shares of Common Stock that may be deemed to be beneficially owned
by the undersigned in accordance with the rules and regulations of the
Securities and Exchange Commission and shares of Common Stock that may be issued
upon exercise of any option or warrant) or securities convertible into or
exchangeable for Common Stock (other than the Shares) owned by the undersigned
on the date of execution of this Lock-Up Letter Agreement or on the date of the
completion of the Offering, or (2) enter into any swap or other derivatives
transaction that transfers to another, in whole or in part, any of the economic
benefits or risks of ownership of such shares of Common Stock, whether any such
transaction described in clause (1) or (2) above is to be settled by delivery of
Common Stock or other securities, in cash or otherwise, for a period of 60 days
after the date of the final Prospectus relating to the Offering; provided,
however, that the foregoing restrictions shall not apply to any bona fide gift
of Common Stock to a donee that agrees in writing for the benefit of the
Underwriter to be bound by the foregoing restrictions with respect to such
shares of Common Stock.

         In furtherance of the foregoing, the Company and its Transfer Agent are
hereby authorized to decline to make any transfer of securities if such transfer
would constitute a violation or breach of this Lock-Up Letter Agreement.

         It is understood that, if the Company notifies you that it does not
intend to proceed with the Offering, if the Underwriting Agreement does not
become effective, or if the Underwriting Agreement (other than the provisions
thereof which survive termination) shall terminate or be terminated prior to
payment for and delivery of the Shares, the undersigned will be released from
its obligations under this Lock-Up Letter Agreement.



         The undersigned understands that the Company and the Underwriter will
proceed with the Offering in reliance on this Lock-Up Letter Agreement.

         Whether or not the Offering actually occurs depends on a number of
factors, including market conditions. Any Offering will only be made pursuant to
an Underwriting Agreement, the terms of which are subject to negotiation between
the Company and the Underwriter.

         The undersigned hereby represents and warrants that the undersigned has
full power and authority to enter into this Lock-Up Letter Agreement and that,
upon request, the undersigned will execute any additional documents necessary in
connection with the enforcement hereof. Any obligations of the undersigned shall
be binding upon the heirs, personal representatives, successors and assigns of
the undersigned.

                                        Very truly yours,



Dated:  _______________


                                      A-2