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                                                                     EXHIBIT 4.2


                                                                  EXECUTION COPY






                            STONE ENERGY CORPORATION

                                  $100,000,000
                    83/4% Senior Subordinated Notes due 2007


                             REGISTRATION AGREEMENT

   
                                                              New York, New York
                                                              September 16, 1997


To: SALOMON BROTHERS INC
    CREDIT SUISSE FIRST BOSTON CORPORATION
    HOWARD, WEIL, LABOUISSE, FRIEDRICHS INCORPORATED
    MORGAN STANLEY & CO. INCORPORATED
    NATIONSBANC CAPITAL MARKETS, INC.

In care of:

Salomon Brothers Inc
Seven World Trade Center
New York, New York 10048

Ladies and Gentlemen:

       Stone Energy Corporation, a Delaware corporation (the "Company"),
proposes to issue and sell to certain purchasers (the "Purchasers"), upon the
terms set forth in a purchase agreement dated the date hereof (the "Purchase
Agreement"), $100,000,000 aggregate principal amount of its 83/4% Senior
Subordinated Notes due 2007 (the "Securities") (the "Initial Placement"). As an
inducement to the Purchasers to enter into the Purchase Agreement and in
satisfaction of a condition to your obligations thereunder, the Company agrees
with you, (i) for your benefit and the benefit of the other Purchasers and (ii)
for the benefit of the holders from time to time of the Securities (including

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you and the other Purchasers) (each of the foregoing a "Holder" and together
the "Holders"), as follows:

       1. Definitions. Capitalized terms used herein without definition shall
have their respective meanings set forth in the Purchase Agreement. As used in
this Agreement, the following capitalized defined terms shall have the
following meanings:

       "Act" means the Securities Act of 1933, as amended, and the rules and
regulations of the Commission promulgated thereunder.

       "Affiliate" of any specified person means any other person which,
directly or indirectly, is in control of, is controlled by, or is under common
control with, such specified person. For purposes of this definition, control
of a person means the power, direct or indirect, to direct or cause the
direction of the management and policies of such person whether by contract or
otherwise; and the terms "controlling" and "controlled" have meanings
correlative to the foregoing.

       "Commission" means the Securities and Exchange Commission.

       "Exchange Act" means the Securities Exchange Act of 1934, as amended,
and the rules and regulations of the Commission promulgated thereunder.

       "Exchange Offer Registration Period" means the one-year period following
the consummation of the Registered Exchange Offer, exclusive of any period
during which any stop order shall be in effect suspending the effectiveness of
the Exchange Offer Registration Statement.

       "Exchange Offer Registration Statement" means a registration statement
of the Company on an appropriate form under the Act with respect to the
Registered Exchange Offer, all amendments and supplements to such registration
statement, including post-effective amendments, in each case 




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including the Prospectus contained therein, all exhibits thereto and all 
material incorporated by reference therein.

       "Exchanging Dealer" means any Holder (which may include the Purchasers)
which is a broker-dealer, electing to exchange Securities acquired for its own
account as a result of market-making activities or other trading activities,
for New Securities.

       "Holder" has the meaning set forth in the preamble hereto.

       "Indenture" means the Indenture relating to the Securities and the New
Securities dated as of September 19, 1997, between the Company and Texas
Commerce Bank National Association, as trustee, as the same may be amended from
time to time in accordance with the terms thereof.

       "Initial Placement" has the meaning set forth in the preamble hereto.

       "Majority Holders" means the Holders of a majority of the aggregate
principal amount of securities registered under a Registration Statement.

       "Managing Underwriters" means the investment banker or investment
bankers and manager or managers that shall administer an underwritten offering.

       "New Securities" means debt securities of the Company identical in all
material respects to the Securities (except that the interest rate step-up
provisions and the transfer restrictions will be modified or eliminated, as
appropriate), to be issued under the Indenture.

       "Prospectus" means the prospectus included in any Registration Statement
(including, without limitation, a prospectus that discloses information
previously omitted from a prospectus filed as part of an effective registration
statement in reliance upon Rule 430A under the Act), as amended or supplemented
by any prospectus supplement, with respect to the terms of the offering of any
portion of the


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Securities or the New Securities, covered by such Registration Statement, and 
all amendments and supplements to the Prospectus, including post-effective 
amendments.

       "Registered Exchange Offer" means the proposed offer to the Holders to
issue and deliver to such Holders, in exchange for the Securities, a like
principal amount of the New Securities.

       "Registration Securities" has the meaning set forth in Section 3(a)
hereof.

       "Registration Statement" means any Exchange Offer Registration Statement
or Shelf Registration Statement that covers any of the Securities or the New
Securities pursuant to the provisions of this Agreement, all amendments and
supplements to such registration statement, including, without limitation,
post-effective amendments, in each case including the Prospectus contained
therein, all exhibits thereto and all material incorporated by reference
therein.

       "Securities" has the meaning set forth in the preamble hereto.

       "Shelf Registration" means a registration effected pursuant to Section 3
hereof.

       "Shelf Registration Period" has the meaning set forth in Section 3(b)
hereof.

       "Shelf Registration Statement" means a "shelf" registration statement of
the Company pursuant to the provisions of Section 3 hereof which covers some of
or all the Securities or New Securities, as applicable, on an appropriate form
under Rule 415 under the Act, or any similar rule that may be adopted by the
Commission, all amendments and supplements to such registration statement,
including post-effective amendments, in each case including the Prospectus
contained therein, all exhibits thereto and all material incorporated by
reference therein.


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       "Trustee" means the trustee with respect to the Securities and the New
Securities under the Indenture.

       "underwriter" means any underwriter of securities in connection with an
offering thereof under a Shelf Registration Statement.

       2. Registered Exchange Offer; Resales of New Securities by Exchanging
Dealers; Private Exchange. (a) The Company shall prepare and, not later than 60
days after the date of the original issuance of the Securities, shall use its
reasonable best efforts to file with the Commission the Exchange Offer
Registration Statement with respect to the Registered Exchange Offer. The
Company shall use its reasonable best efforts to cause the Exchange Offer
Registration Statement to become effective under the Act within 120 days after
the date of the original issuance of the Securities.

       (b) Upon the effectiveness of the Exchange Offer Registration Statement,
the Company shall promptly commence the Registered Exchange Offer, it being the
objective of such Registered Exchange Offer to enable each Holder electing to
exchange Securities for New Securities (assuming that such Holder is not an
affiliate of the Company within the meaning of the Act, acquires the New
Securities in the ordinary course of such Holder's business and has no
arrangements with any person to participate in the distribution of the New
Securities) to trade such New Securities from and after their receipt without
any limitations or restrictions under the registration provisions of the Act.

       (c) In connection with the Registered Exchange Offer, the Company shall:

       (i) mail to each Holder a copy of the Prospectus forming part of the
     Exchange Offer Registration Statement, together with an appropriate letter
     of transmittal and related documents;

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       (ii)  keep the Registered Exchange Offer open for not less than 30 days
     and not more than 45 days after the date notice thereof is mailed to the
     Holders (or longer if required by applicable law);

       (iii) utilize the services of a depositary for the Registered Exchange
     Offer with an address in the Borough of Manhattan, The City of New York;
     and

       (iv)  comply in all respects with all applicable laws.

       (d)   As soon as practicable after the close of the Registered Exchange
Offer, the Company shall:

       (i)   accept for exchange all Securities tendered and not validly
     withdrawn pursuant to the Registered Exchange Offer;

       (ii)  deliver to the Trustee for cancelation all Securities so accepted
     for exchange; and

       (iii) cause the Trustee promptly to authenticate and deliver to each
     Holder of Securities, New Securities equal in principal amount to the
     Securities of such Holder so accepted for exchange.

       (e)   The Purchasers and the Company acknowledge that, pursuant to 
current interpretations by the Commission's staff of Section 5 of the Act, and
in the absence of an applicable exemption therefrom, each Exchanging Dealer is
required to deliver a Prospectus in connection with a sale of any New
Securities received by such Exchanging Dealer pursuant to the Registered
Exchange Offer in exchange for Securities acquired for its own account as a
result of market-making activities or other trading activities. Accordingly,
the Company shall:

       (i)   include the information set forth in Annex A hereto on the cover of
     the Exchange Offer Registration Statement, in Annex B hereto in the
     forepart of the Exchange Offer Registration Statement in a section 

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     setting forth details of the Exchange Offer, in Annex C hereto in the
     underwriting or plan of distribution section of the Prospectus forming a
     part of the Exchange Offer Registration Statement, and in Annex D hereto
     in the Letter of Transmittal delivered pursuant to the Registered Exchange
     Offer; and

       (ii) use its best efforts to keep the Exchange Offer Registration
     Statement continuously effective under the Act during the Exchange Offer
     Registration Period for delivery by Exchanging Dealers in connection with
     sales of New Securities received pursuant to the Registered Exchange
     Offer, as contemplated by Section 4(h) below.

       (f) In the event that any Purchaser determines that it is not eligible
to participate in the Registered Exchange Offer with respect to the exchange of
Securities constituting any portion of an unsold allotment, at the request of
such Purchaser, the Company shall issue and deliver to such Purchaser or the
party purchasing New Securities registered under a Shelf Registration Statement
as contemplated by Section 3 hereof from such Purchaser, in exchange for such
Securities, a like principal amount of New Securities. The Company shall seek
to cause the CUSIP Service Bureau to issue the same CUSIP number for such New
Securities as for New Securities issued pursuant to the Registered Exchange
Offer.

       3. Shelf Registration. If, (i) because of any change in law or
applicable interpretations thereof by the Commission's staff, the Company
determines upon advice of its outside counsel that it is not permitted to
effect the Registered Exchange Offer as contemplated by Section 2 hereof, or
(ii) for any other reason the Exchange Offer Registration Statement is not
declared effective within 120 days after the Closing Date or the Registered
Exchange Offer is not consummated within 150 days after the Closing Date, or
(iii) any Purchaser so requests with respect to Securities (or any New
Securities received pursuant to Section 2(f)) not eligible to be exchanged for
New Securities in a Registered Exchange Offer or, in the case of 

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any Purchaser that participates in any Registered Exchange Offer, such
Purchaser does not receive freely tradable New Securities, or (iv) any Holder
(other than a Purchaser) is not eligible to participate in the Registered
Exchange Offer or (v) in the case of any such Holder that participates in the
Registered Exchange Offer, such Holder does not receive freely tradable New
Securities in exchange for tendered securities, other than by reason of such
Holder being an affiliate of the Company within the meaning of the Act (it
being understood that, for purposes of this Section 3, (x) the requirement that
a Purchaser deliver a Prospectus containing the information required by Items
507 and/or 508 of Regulation S-K under the Act in connection with sales of New
Securities acquired in exchange for such Securities shall result in such New
Securities being not "freely tradeable" but (y) the requirement that an
Exchanging Dealer deliver a Prospectus in connection with sales of New
Securities acquired in the Registered Exchange Offer in exchange for Securities
acquired as a result of market-making activities or other trading activities
shall not result in such New Securities being not "freely tradeable"), the
following provisions shall apply:

       (a) The Company shall as promptly as practicable (but in no event more
than 30 days after so required or requested pursuant to this Section 3), file
with the Commission and thereafter shall use its reasonable best efforts to
cause to be declared effective under the Act a Shelf Registration Statement
relating to the offer and sale of the Securities or the New Securities, as
applicable, by the Holders from time to time in accordance with the methods of
distribution elected by such Holders and set forth in such Shelf Registration
Statement (such Securities or New Securities, as applicable, to be sold by such
Holders under such Shelf Registration Statement being referred to herein as
"Registration Securities"); provided, however, that, with respect to New
Securities received by a Purchaser in exchange for Securities constituting any
portion of an unsold allotment, the Company may, if permitted by current
interpretations by the Commission's staff, file a post-effective amendment to
the Exchange Offer Registration Statement containing the information required
by Regulation 

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S-K Items 507 and/or 508, as applicable, in satisfaction of its obligations
under this paragraph (a) with respect thereto, and any such Exchange Offer
Registration Statement, as so amended, shall be referred to herein as, and
governed by the provisions herein applicable to, a Shelf Registration
Statement.

       (b) The Company shall use its reasonable best efforts to keep the Shelf
Registration Statement continuously effective in order to permit the Prospectus
forming part thereof to be usable by Holders for a period of two years from the
date the Shelf Registration Statement is declared effective by the Commission
or such shorter period that will terminate when all the Securities or New
Securities, as applicable, covered by the Shelf Registration Statement have
been sold pursuant to the Shelf Registration Statement (in any such case, such
period being called the "Shelf Registration Period").

       4. Registration Procedures. In connection with any Shelf Registration
Statement and, to the extent applicable, any Exchange Offer Registration
Statement, the following provisions shall apply:

       (a) The Company shall furnish to you, prior to the filing thereof with
     the Commission, a copy of any Shelf Registration Statement and any
     Exchange Offer Registration Statement, and each amendment thereof and each
     amendment or supplement, if any, to the Prospectus included therein and
     shall use its best efforts to reflect in each such document, when so filed
     with the Commission, such comments as you or any Holder reasonably may
     propose.

       (b) The Company shall ensure that (i) any Registration Statement and any
     amendment thereto and any Prospectus forming part thereof and any
     amendment or supplement thereto complies in all material respects with the
     Act and the rules and regulations thereunder, (ii) any Registration
     Statement and any amendment thereto does not, when it becomes effective,
     contain an untrue statement of a material fact or omit to state a 

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     material fact required to be stated therein or necessary to make the
     statements therein not misleading and (iii) any Prospectus forming part of
     any Registration Statement, and any amendment or supplement to such
     Prospectus, does not include an untrue statement of a material fact or
     omit to state a material fact necessary in order to make the statements
     therein, in the light of the circumstances under which they were made, not
     misleading.

       (c) (1)  The Company shall advise you and, in the case of a Shelf
     Registration Statement, the Holders of securities covered thereby, and, if
     requested by you or any such Holder, confirm such advice in writing:

           (i)  when a Registration Statement and any amendment thereto has been
       filed with the Commission and when the Registration Statement or any
       post-effective amendment thereto has become effective; and

           (ii) of any request by the Commission for amendments or supplements
       to the Registration Statement or the Prospectus included therein or for
       additional information.

       (2) The Company shall advise you and, in the case of a Shelf
     Registration Statement, the Holders of securities covered thereby, and, in
     the case of an Exchange Offer Registration Statement, any Exchanging
     Dealer which has provided in writing to the Company a telephone or
     facsimile number and address for notices, and, if requested by you or any
     such Holder or Exchanging Dealer, confirm such advice in writing:

           (i)  of the issuance by the Commission of any stop order suspending
       the effectiveness of the Registration Statement or the initiation of any
       proceedings for that purpose;

           (ii) of the receipt by the Company of any notification with respect
       to the suspension of the 

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       qualification of the securities included therein for sale in any
       jurisdiction or the initiation or threatening of any proceeding for such
       purpose; and

           (iii) of the happening of any event that requires the making of any
       changes in the Registration Statement or the Prospectus so that, as of
       such date, the statements therein are not misleading and do not omit to
       state a material fact required to be stated therein or necessary to make
       the statements therein (in the case of the Prospectus, in the light of
       the circumstances under which they were made) not misleading (which
       advice shall be accompanied by an instruction to suspend the use of the
       Prospectus until the requisite changes have been made).

       (d) The Company shall use its reasonable best efforts to obtain the
     withdrawal of any order suspending the effectiveness of any Registration
     Statement at the earliest possible time.

       (e) The Company shall furnish to each Holder of securities included
     within the coverage of any Shelf Registration Statement, without charge,
     at least one copy of such Shelf Registration Statement and any
     post-effective amendment thereto, including financial statements and
     schedules, and, if the Holder so requests in writing, any documents
     incorporated by reference therein and all exhibits thereto (including
     those incorporated by reference therein).

       (f) The Company shall, during the Shelf Registration Period, deliver to
     each Holder of securities included within the coverage of any Shelf
     Registration Statement, without charge, as many copies of the Prospectus
     (including each preliminary Prospectus) included in such Shelf
     Registration Statement and any amendment or supplement thereto as such
     Holder may reasonably request; and the Company consents to the use of the
     Prospectus or any amendment 

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     or supplement thereto by each of the selling Holders of securities in
     connection with the offering and sale of the securities covered by the
     Prospectus or any amendment or supplement thereto.

       (g) The Company shall furnish to each Exchanging Dealer which so
     requests, without charge, at least one copy of the Exchange Offer
     Registration Statement and any post-effective amendment thereto, including
     financial statements and schedules, and, if the Exchanging Dealer so
     requests in writing, any documents incorporated by reference therein and
     all exhibits thereto (including those incorporated by reference therein).

       (h) The Company shall, during the Exchange Offer Registration Period,
     promptly deliver to each Exchanging Dealer, without charge, as many copies
     of the Prospectus included in such Exchange Offer Registration Statement
     and any amendment or supplement thereto as such Exchanging Dealer may
     reasonably request for delivery by such Exchanging Dealer in connection
     with a sale of New Securities received by it pursuant to the Registered
     Exchange Offer; and the Company consents to the use of the Prospectus or
     any amendment or supplement thereto by any such Exchanging Dealer, as
     aforesaid.

       (i) Prior to the Registered Exchange Offer or any other offering of
     securities pursuant to any Registration Statement, the Company shall
     register or qualify or cooperate with the Holders of securities included
     therein and their respective counsel in connection with the registration
     or qualification of such securities for offer and sale under the
     securities or blue sky laws of such jurisdictions as any such Holder
     reasonably requests in writing and do any and all other acts or things
     necessary or advisable to enable the offer and sale in such jurisdictions
     of the securities covered by such Registration Statement; provided,
     however, that the Company will not be required to qualify generally to do
     business in any 

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     jurisdiction where it is not then so qualified or to take any action which
     would subject it to general service of process or to taxation in any such
     jurisdiction where it is not then so subject.

       (j) The Company shall cooperate with the Holders of Securities to
     facilitate the timely preparation and delivery of certificates
     representing Securities to be sold pursuant to any Registration Statement
     free of any restrictive legends and in such denominations and registered
     in such names as Holders may request prior to sales of securities pursuant
     to such Registration Statement.

       (k) Upon the occurrence of any event contemplated by paragraph
     (c)(2)(iii) above, the Company shall promptly prepare a post-effective
     amendment to any Registration Statement or an amendment or supplement to
     the related Prospectus or file any other required document so that, as
     thereafter delivered to purchasers of the securities included therein, the
     Prospectus will not include an untrue statement of a material fact or omit
     to state any material fact necessary to make the statements therein, in
     the light of the circumstances under which they were made, not misleading.

       (l) Not later than the effective date of any such Registration Statement
     hereunder, the Company shall provide a CUSIP number for the Securities or
     New Securities, as the case may be, registered under such Registration
     Statement, and provide the Trustee with printed certificates for such
     Securities or New Securities, in a form, if requested by the applicable
     Holder or Holder's Counsel, eligible for deposit with The Depository Trust
     Company.

       (m) The Company shall use its reasonable best efforts to comply with all
     applicable rules and regulations of the Commission to the extent and so
     long as they are applicable to the Registered Exchange Offer or the Shelf
     Registration and will make generally available to its security holders a
     consolidated 

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     earnings statement (which need not be audited) covering a twelve-month
     period commencing after the effective date of the Registration Statement
     and ending not later than 15 months thereafter, as soon as practicable
     after the end of such period, which consolidated earnings statement shall
     satisfy the provisions of Section 11(a) of the Securities Act.

       (n) The Company shall cause the Indenture to be qualified under the
     Trust Indenture Act of 1939, as amended, on or prior to the effective date
     of any Shelf Registration Statement or Exchange Offer Registration
     Statement.

       (o) The Company may require each Holder of securities to be sold
     pursuant to any Shelf Registration Statement to furnish to the Company
     such information regarding the Holder and the distribution of such
     securities as the Company may from time to time reasonably require for
     inclusion in such Registration Statement.

       (p) The Company shall, if requested, promptly incorporate in a
     Prospectus supplement or post-effective amendment to a Shelf Registration
     Statement, such information as the Managing Underwriters and Majority
     Holders reasonably agree should be included therein and shall make all
     required filings of such Prospectus supplement or post-effective amendment
     as soon as notified of the matters to be incorporated in such Prospectus
     supplement or post-effective amendment.

       (q) In the case of any Shelf Registration Statement, the Company shall
     enter into such agreements (including underwriting agreements) and take
     all other appropriate actions in order to expedite or facilitate the
     registration or the disposition of the Securities, and in connection
     therewith, if an underwriting agreement is entered into, cause the same to
     contain indemnification provisions and procedures no less favorable than
     those set forth in Section 6 hereof (or such other provisions and
     procedures acceptable to the 

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     Majority Holders and the Managing Underwriters, if any), with respect to
     all parties to be indemnified pursuant to Section 6 hereof from Holders of
     Securities to the Company.

       (r) In the case of any Shelf Registration Statement, the Company shall
     (i) make reasonably available for inspection by the Holders of securities
     to be registered thereunder, any underwriter participating in any
     disposition pursuant to such Registration Statement, and any attorney,
     accountant or other agent retained by the Holders or any such underwriter
     all relevant financial and other records, pertinent corporate documents
     and properties of the Company and its subsidiaries; (ii) cause the
     Company's officers, directors and employees to supply all relevant
     information reasonably requested by the Holders or any such underwriter,
     attorney, accountant or agent in connection with any such Registration
     Statement as is customary for similar due diligence examinations;
     provided, however, that any information that is designated in writing by
     the Company, in good faith, as confidential at the time of delivery of
     such information shall be kept confidential by the Holders or any such
     underwriter, attorney, accountant or agent, unless such disclosure is made
     in connection with a court proceeding or required by law, or such
     information becomes available to the public generally or through a third
     party without an accompanying obligation of confidentiality; (iii) make
     such representations and warranties to the Holders of securities
     registered thereunder and the underwriters, if any, in form, substance and
     scope as are customarily made by issuers to underwriters in primary
     underwritten offerings; (iv) obtain opinions of counsel to the Company
     (which counsel and opinions (in form, scope and substance) shall be
     reasonably satisfactory to the Managing Underwriters, if any) addressed to
     each selling Holder and the underwriters, if any, covering such matters as
     are customarily covered in opinions requested in underwritten offerings
     and such other matters as may be reasonably requested by such Holders 

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     and underwriters; (v) obtain "cold comfort" letters (or, in the case of
     any person that does not satisfy the conditions for receipt of a "cold
     comfort" letter specified in Statement on Auditing Standards No. 72, an
     "agreed-upon procedures" letter) and updates thereof from the independent
     certified public accountants of the Company (and, if necessary, any other
     independent certified public accountants of any subsidiary of the Company
     or of any business acquired by the Company for which financial statements
     and financial data are, or are required to be, included in the
     Registration Statement), addressed to each selling Holder of securities
     registered thereunder and the underwriters, if any, in customary form and
     covering matters of the type customarily covered in "cold comfort" letters
     in connection with primary underwritten offerings; and (vi) deliver such
     documents and certificates as may be reasonably requested by the Majority
     Holders and the Managing Underwriters, if any, including those to evidence
     compliance with Section 4(k) and with any customary conditions contained
     in the underwriting agreement or other agreement entered into by the
     Company. The foregoing actions set forth in clauses (iii), (iv), (v) and
     (vi) of this Section 4(r) shall be performed (A) on the effective date of
     such Registration Statement and each post-effective amendment thereto and
     (B) at each closing under any underwriting or similar agreement as and to
     the extent required thereunder.

       (s) In the case of any Exchange Offer Registration Statement, the
     Company shall (i) make reasonably available for inspection by each
     Purchaser, and any attorney, accountant or other agent retained by such
     Purchaser, all relevant financial and other records, pertinent corporate
     documents and properties of the Company and its subsidiaries; (ii) cause
     the Company's officers, directors and employees to supply all relevant
     information reasonably requested by such Purchaser or any such attorney,
     accountant or agent in connection with any such Registration Statement as
     is customary for similar due diligence examinations; 

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     provided, however, that any information that is designated in writing by
     the Company, in good faith, as confidential at the time of delivery of
     such information shall be kept confidential by such Purchaser or any such
     attorney, accountant or agent, unless such disclosure is made in
     connection with a court proceeding or required by law, or such information
     becomes available to the public generally or through a third party without
     an accompanying obligation of confidentiality; (iii) make such
     representations and warranties to such Purchaser, in form, substance and
     scope as are customarily made by issuers to underwriters in primary
     underwritten offerings; (iv) obtain opinions of counsel to the Company
     (which counsel and opinions (in form, scope and substance) shall be
     reasonably satisfactory to such Purchaser and its counsel), addressed to
     such Purchaser, covering such matters as are customarily covered in
     opinions requested in underwritten offerings and such other matters as may
     be reasonably requested by such Purchaser or its counsel; (v) obtain "cold
     comfort" letters and updates thereof from the independent certified public
     accountants of the Company (and, if necessary, any other independent
     certified public accountants of any subsidiary of the Company or of any
     business acquired by the Company for which financial statements and
     financial data are, or are required to be, included in the Registration
     Statement), addressed to such Purchaser, in customary form and covering
     matters of the type customarily covered in "cold comfort" letters in
     connection with primary underwritten offerings, or if requested by such
     Purchaser or its counsel in lieu of a "cold comfort" letter, an
     agreed-upon procedures letter under Statement on Auditing Standards No.
     35, covering matters requested by such Purchaser or its counsel; and (vi)
     deliver such documents and certificates as may be reasonably requested by
     such Purchaser or its counsel, including those to evidence compliance with
     Section 4(k) and with conditions customarily contained in underwriting
     agreements. The foregoing actions set forth in clauses (iii), (iv), (v)
     and (vi) of this 

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     Section 4(s) shall be performed (A) at the close of the Registered
     Exchange Offer and (B) on the effective date of any post-effective
     amendment to the Exchange Offer Registration Statement.

       5. Registration Expenses. The Company shall bear all expenses incurred
in connection with the performance of its obligations under Sections 2, 3 and 4
hereof.

       6. Indemnification and Contribution. (a) In connection with any
Registration Statement, the Company agrees to indemnify and hold harmless each
Holder of securities covered thereby (including each Purchaser and, with
respect to any Prospectus delivery as contemplated in Section 4(h) hereof, each
Exchanging Dealer), the directors, officers, employees and agents of each such
Holder and each other person, if any, who controls any such Holder within the
meaning of Section 15 of the Act or Section 20 of the Exchange Act against any
and all losses, claims, damages or liabilities, joint or several, to which they
or any of them may become subject under the Act, the Exchange Act or other
Federal or state statutory law or regulation, at common law or otherwise,
insofar as such losses, claims, damages or liabilities (or actions in respect
thereof) arise out of or are based upon any untrue statement or alleged untrue
statement of a material fact contained in the Registration Statement as
originally filed or in any amendment thereof, or in any preliminary Prospectus
or Prospectus, or in any amendment thereof or supplement thereto, or arise out
of or are based upon the omission or alleged omission to state therein a
material fact required to be stated therein or necessary to make the statements
therein not misleading, and agrees to reimburse each such indemnified party, as
incurred, for any legal or other expenses reasonably incurred by them in
connection with investigating or defending any such loss, claim, damage,
liability or action; provided, however, that the Company will not be liable in
any case to the extent that any such loss, claim, damage or liability arises
out of or is based upon any such untrue statement or alleged untrue statement
or omission or alleged omission made therein in reliance upon and in conformity
with written information furnished to the Company by or on 

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                                                                              19

behalf of any such Holder specifically for inclusion therein. This indemnity
agreement will be in addition to any liability which the Company may otherwise
have.

       The Company also agrees to indemnify or contribute to Losses (as defined
below) of, as provided in Section 6(d), any underwriters of Securities
registered under a Shelf Registration Statement, their officers and directors
and each person who controls such underwriters on substantially the same basis
as that of the indemnification of the Purchasers and the selling Holders
provided in this Section 6(a) and shall, if requested by any Holder, enter into
an underwriting agreement reflecting such agreement, as provided in Section
4(q) hereof.

       (b) Each Holder of securities covered by a Registration Statement
(including each Purchaser and, with respect to any Prospectus delivery as
contemplated in Section 4(h) hereof, each Exchanging Dealer) severally and not
jointly agrees to indemnify and hold harmless the Company, each of its
directors and officers and each other person, if any, who controls the Company
within the meaning of Section 15 of the Act or Section 20 of the Exchange Act
to the same extent as the foregoing indemnity from the Company to each such
Holder, but only with reference to written information relating to such Holder
furnished to the Company by or on behalf of such Holder specifically for
inclusion in the documents referred to in the foregoing indemnity. This
indemnity agreement will be in addition to any liability which any such Holder
may otherwise have.

       (c) Promptly after receipt by an indemnified party under this Section 6
of notice of the commencement of any action, such indemnified party will, if a
claim in respect thereof is to be made against the indemnifying party under
this Section 6, notify the indemnifying party in writing of the commencement
thereof; but the failure so to notify the indemnifying party (i) will not
relieve it from liability under paragraph (a) or (b) above unless and to the
extent it did not otherwise learn of such action and such failure results in
the forfeiture by the indemnifying party of substantial rights and defenses and
(ii) will not, in any 

   20

                                                                              20

event, relieve the indemnifying party from any obligations to any indemnified
party other than the indemnification obligation provided in paragraph (a) or
(b) above. The indemnifying party shall be entitled to appoint counsel of the
indemnifying party's choice at the indemnifying party's expense to represent
the indemnified party in any action for which indemnification is sought (in
which case the indemni fying party shall not thereafter be responsible for the
fees and expenses of any separate counsel retained by the indem nified party or
parties except as set forth below); provided, however, that such counsel shall
be satisfactory to the indemnified party. Notwithstanding the indemnifying
party's election to appoint counsel to represent the indemnified party in an
action, the indemnified party shall have the right to employ separate counsel
(including local counsel), and the indemnifying party shall bear the reasonable
fees, costs and expenses of such separate counsel (and local counsel) if (i)
the use of counsel chosen by the indemnifying party to represent the
indemnified party would present such counsel with a conflict of interest, (ii)
the actual or potential defendants in, or targets of, any such action include
both the indemnified party and the indemnifying party and the indemnified party
shall have reasonably concluded that there may be legal defenses available to
it and/or other indemnified parties which are different from or additional to
those available to the indemnifying party, (iii) the indemnifying party shall
not have employed counsel satisfactory to the indemnified party to represent
the indemnified party within a reasonable time after notice of the institution
of such action or (iv) the indemnifying party shall authorize the indemnified
party to employ separate counsel at the expense of the indemnifying party. An
indemnifying party will not, without the prior written consent of the
indemnified parties, 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 

   21

                                                                              21

indemnified party from all liability arising out of such claim, action, suit or
proceeding.

       (d) In the event that the indemnity provided in paragraph (a) or (b) of
this Section 6 is unavailable to or insufficient to hold harmless an
indemnified party for any reason, then each applicable indemnifying party, in
lieu of indemnifying such indemnified party, shall have a joint and several
obligation to contribute to the aggregate losses, claims, damages and
liabilities (including legal or other expenses reasonably incurred in
connection with investigating or defending same) (collectively "Losses") to
which such indemnified party may be subject in such proportion as is
appropriate to reflect the relative benefits received by such indemnifying
party, on the one hand, and such indemnified party, on the other hand, from the
Initial Placement and the Registration Statement which resulted in such Losses;
provided, however, that in no case shall any Purchaser or any subsequent Holder
of any Security or New Security be responsible, in the aggregate, for any
amount in excess of the purchase discount or commission applicable to such
Security, or in the case of a New Security, applicable to the Security which
was exchangeable into such New Security, as set forth on the cover page of the
Final Memorandum, nor shall any underwriter be responsible for any amount in
excess of the underwriting discount or commission applicable to the securities
purchased by such underwriter under the Registration Statement which resulted
in such Losses. If the allocation provided by the immediately preceding
sentence is unavailable for any reason, the indemnifying party and the
indemnified party shall contribute in such proportion as is appropriate to
reflect not only such relative benefits but also the relative fault of such
indemnifying party, on the one hand, and such indemnified party, on the other
hand, in connection with the statements or omissions which resulted in such
Losses as well as any other relevant equitable considerations. Benefits
received by the Company shall be deemed to be equal to the sum of (x) the total
net proceeds from the Initial Placement (before deducting expenses) as set
forth on the cover page of the Final Memorandum and (y) the total amount of
additional interest which the 

   22

                                                                              22

Company was not required to pay as a result of registering the securities
covered by the Registration Statement which resulted in such Losses. Benefits
received by the Purchasers shall be deemed to be equal to the total purchase
discounts and commissions as set forth on the cover page of the Final
Memorandum, and benefits received by any other Holders shall be deemed to be
equal to the value of receiving Securities or New Securities, as applicable,
registered under the Act. Benefits received by any underwriter shall be deemed
to be equal to the total underwriting discounts and commissions, as set forth
on the cover page of the Prospectus forming a part of the Registration
Statement which resulted in such Losses. Relative fault shall be determined by
reference to whether any alleged untrue statement or omission relates to
information provided by the indemnifying party, on the one hand, or by the
indemnified party, on the other hand. The parties agree that it would not be
just and equitable if contribution were determined by pro rata allocation or
any other method of allocation which does not take account of the equitable
considerations referred to above. Notwithstanding the provisions of this
paragraph (d), no person guilty of fraudulent misrepresentation (within the
meaning of Section 11(f) of the Act) shall be entitled to contribution from any
person who was not guilty of such fraudulent misrepresentation. For purposes of
this Section 6, each person who controls a Holder within the meaning of either
the Act or the Exchange Act and each director, officer, employee and agent of
such Holder shall have the same rights to contribution as such Holder, and each
person who controls the Company within the meaning of either the Act or the
Exchange Act, each officer of the Company who shall have signed the
Registration Statement and each director of the Company shall have the same
rights to contribution as the Company, subject in each case to the applicable
terms and conditions of this paragraph (d).

       (e) The provisions of this Section 6 will remain in full force and
effect, regardless of any investigation made by or on behalf of any Holder or
the Company or any of the officers, directors or controlling persons referred
to 

   23

                                                                              23

in this Section 6, and will survive the sale by a Holder of securities covered 
by a Registration Statement.

       7. Miscellaneous.

       (a) No Inconsistent Agreements. The Company has not, as of the date
     hereof, entered into, nor shall it, on or after the date hereof, enter
     into, any agreement with respect to its securities that is inconsistent
     with the rights granted to the Holders herein or otherwise conflicts with
     the provisions hereof.

       (b) Amendments and Waivers. The provisions of this Agreement, including
     the provisions of this sentence, may not be amended, qualified, modified
     or supplemented, and waivers or consents to departures from the provisions
     hereof may not be given, unless the Company has obtained the written
     consent of the Holders of at least a majority of the then outstanding
     aggregate principal amount of Securities (or, after the consummation of
     any Exchange Offer in accordance with Section 2 hereof, of New
     Securities); provided that, with respect to any matter that directly or
     indirectly affects the rights of any Purchaser hereunder, the Company
     shall obtain the written consent of each such Purchaser against which such
     amendment, qualification, supplement, waiver or consent is to be
     effective. Notwithstanding the foregoing (except the foregoing proviso), a
     waiver or consent to departure from the provisions hereof with respect to
     a matter that relates exclusively to the rights of Holders whose
     securities are being sold pursuant to a Registration Statement and that
     does not directly or indirectly affect the rights of other Holders may be
     given by the Majority Holders, determined on the basis of securities being
     sold rather than registered under such Registration Statement.

       (c) Notices. All notices and other communications provided for or
     permitted hereunder 

   24

                                                                              24

     shall be made in writing by hand-delivery, first-class mail, telex,
     telecopier, or air courier guaranteeing overnight delivery:

           (1) if to a Holder, at the most current address given by such Holder
       to the Company in accordance with the provisions of this Section 7(c),
       which address initially is, with respect to each Holder, the address of
       such Holder maintained by the registrar under the Indenture, with a copy
       in like manner to Salomon Brothers Inc by fax (212-783-2823) and
       confirmed by mail to it at Seven World Trade Center, New York, New York
       10048;

           (2) if to you, initially at the address set forth in the Purchase
       Agreement; and

           (3) if to the Company, initially at its address set forth in the
       Purchase Agreement.

       All such notices and communications shall be deemed to have been duly
given when received.

       The Purchasers or the Company by notice to the other may designate
additional or different addresses for subsequent notices or communications.

       (d) Successors and Assigns. This Agreement shall inure to the benefit of
     and be binding upon the successors and assigns of each of the parties,
     including, without the need for an express assignment or any consent by
     the Company, subsequent Holders of Securities and/or New Securities. The
     Company hereby agrees to extend the benefits of this Agreement to any
     Holder of Securities and/or New Securities and any such Holder may
     specifically enforce the provisions of this Agreement as if an original
     party hereto.

       (e) Counterparts. This agreement may be executed in any number of
     counterparts and by the parties hereto in separate counterparts, each of
     which when so 

   25

                                                                              25

     executed shall be deemed to be an original and all of which taken together
     shall constitute one and the same agreement.

       (f) Headings. The headings in this agreement are for convenience of
     reference only and shall not limit or otherwise affect the meaning hereof.

       (g) Governing Law. THIS AGREEMENT SHALL BE GOVERNED BY AND CONSTRUED IN
     ACCORDANCE WITH THE INTERNAL LAWS OF THE STATE OF NEW YORK (WITHOUT REGARD
     TO THE CONFLICT OF LAW PROVISIONS THEREOF).

       (h) Severability. In the event that any one of more of the provisions
     contained herein, or the application thereof in any circumstances, is held
     invalid, illegal or unenforceable in any respect for any reason, the
     validity, legality and enforceability of any such provision in every other
     respect and of the remaining provisions hereof shall not be in any way
     impaired or affected thereby, it being intended that all the rights and
     privileges of the parties shall be enforceable to the fullest extent
     permitted by law.

       (i) Securities Held by the Company, etc. Whenever the consent or
     approval of Holders of a specified percentage of principal amount of
     Securities or New Securities is required hereunder, Securities or New
     Securities, as applicable, held by the Company or its Affiliates (other
     than subsequent Holders of Securities or New Securities if such subsequent
     Holders are deemed to be Affiliates solely by reason of their holdings of
     such Securities or New Securities) shall not be counted in determining
     whether such consent or approval was given by the Holders of such required
     percentage.

   26

 
                                                                              26


       Please confirm that the foregoing correctly sets forth the agreement
between the Company and you.


                                        Very truly yours,
                                        
                                        STONE ENERGY CORPORATION
                                        
                                        
                                        By: /s/ MIKE FINCH
                                           --------------------------
                                           Name:  Michael L. Finch
                                           Title:  Executive Vice President and
                                                   Chief Financial Officer



The foregoing Agreement is
hereby confirmed and accepted
as of the date first above written

SALOMON BROTHERS INC
CREDIT SUISSE FIRST BOSTON CORPORATION
HOWARD, WEIL, LABOUISSE, FRIEDRICHS INCORPORATED
MORGAN STANLEY & CO. INCORPORATED
NATIONSBANC CAPITAL MARKETS, INC.

By:      SALOMON BROTHERS INC


By: /s/ M. SCOTT VAN BERGH
   ---------------------------------
   Name:  M. Scott Van Bergh
   Title:  Managing Director

For themselves and the other
Purchasers named in Schedule I to
the Purchase Agreement

   27

   
                                                                         ANNEX A

Each broker-dealer that receives New Securities for its own account pursuant to
the Registered Exchange Offer must acknowledge that it will deliver a
prospectus in connection with any resale of such New Securities. The Letter of
Transmittal states that by so acknowledging and by delivering a prospectus, a
broker-dealer will not be deemed to admit that it is an "underwriter" within
the meaning of the Act. This Prospectus, as it may be amended or supplemented
from time to time, may be used by a broker-dealer in connection with resales of
New Securities received in exchange for Securities where such New Securities
were acquired by such broker-dealer as a result of market-making activities or
other trading activities. The Company has agreed that, starting on the date
hereof (the "Expiration Date") and ending on the close of business 180 days
after the Expiration Date, it will make this Prospectus available to any
broker-dealer for use in connection with any such resale. See "Plan of
Distribution."


   28

     
                                                                         ANNEX B

Each broker-dealer that receives New Securities for its own account in exchange
for Securities, where such Securities were acquired by such broker-dealer as a
result of market-making activities or other trading activities, must
acknowledge that it will deliver a prospectus in connection with any resale of
such New Securities. See "Plan of Distribution."


   29


                                                                         ANNEX C


                              PLAN OF DISTRIBUTION


       Each broker-dealer that receives New Securities for its own account
pursuant to the Registered Exchange Offer must acknowledge that it will deliver
a prospectus in connection with any resale of such New Securities. The
Prospectus, as it may be amended or supplemented from time to time, may be used
by a broker-dealer in connection with resales of New Securities received in
exchange for Securities where such Securities were acquired as a result of
market-making activities or other trading activities. The Company has agreed
that, starting on the Expiration Date and ending on the close of business 180
days after the Expiration Date, it will make this Prospectus, as amended or
supplemented, available to any broker-dealer for use in connection with any
such resale. In addition, until      , 199 , all dealers effecting transactions
in the Exchange Securities may be required to deliver a prospectus. */

       The Company will not receive any proceeds from any sale of New
Securities by broker-dealers. New Securities received by broker-dealers for
their own account pursuant to the Exchange Offer may be sold from time to time
in one or more transactions in the over-the-counter market, in negotiated
transactions, through the writing of options on the New Securities or a
combination of such methods of resale, at market prices prevailing at the time
of resale, at prices related to such prevailing market prices or negotiated
prices. Any such resale may be made directly to purchasers or to or through
brokers or dealers who may receive compensation in the form of commissions or
concessions from any such broker-dealer and/or the purchasers of any such New
Securities. Any broker-dealer that resells New Securities that were received by
it for its own account pursuant to the Registered Exchange Offer and any broker
or dealer that participates in a distribution of 


- ------------------------ 

       */ In addition, the legend required by Item 502(e) of Regulation S-K 
will appear on the back cover page of the Exchange Offer prospectus.


   30

                                                                               2

such New Securities may be deemed to be an "underwriter" within the meaning of
the Securities Act and any profit of any such resale of New Securities and any
commissions or concessions received by any such persons may be deemed to be
underwriting compensation under the Act. The Letter of Transmittal states that
by acknowledging that it will deliver and by delivering a prospectus, a
broker-dealer will not be deemed to admit that it is an "underwriter" within
the meaning of the Act. 2

       For a period of 180 days after the Expiration Date, the Company will
promptly send additional copies of this Prospectus and any amendment or
supplement to this Prospectus to any broker-dealer that requests such documents
in the Letter of Transmittal. The Company has agreed to pay all expenses
incident to the Exchange Offer (including the expenses of one counsel for the
holders of the Securities) other than commissions or concessions of any brokers
or dealers and will indemnify the holders of the Securities (including any
broker-dealers) against certain liabilities, including liabilities under the
Act.

       [If applicable, add information required by Regulation S-K Items 507
and/or 508.]


   31


                                                                         ANNEX D


                                    Rider A

              CHECK HERE IF YOU ARE A BROKER-DEALER AND WISH TO 
              RECEIVE 10 ADDITIONAL COPIES OF THE PROSPECTUS AND 
              10 COPIES OF ANY AMENDMENTS OR SUPPLEMENTS THERETO.

              Name:
                   -------------------------------------------------

              Address:
                      ----------------------------------------------

                      ----------------------------------------------



                                    Rider B

If the undersigned is not a broker-dealer, the undersigned represents that it
is not engaged in, and does not intend to engage in, a distribution of New
Securities. If the undersigned is a broker-dealer that will receive New
Securities for its own account in exchange for Securities that were acquired as
a result of market-making activities or other trading activities, it
acknowledges that it will deliver a prospectus in connection with any resale of
such New Securities; however, by so acknowledging and by delivering a
prospectus, the undersigned will not be deemed to admit that it is an
"underwriter" within the meaning of the Act.