Dated June 13, 1996



                         ENSCO OFFSHORE COMPANY II

                                    and

                     BANKERS TRUST COMPANY, AS TRUSTEE

                                            
___________________________________________________________________________


                       FIRST PREFERRED FLEET MORTGAGE
                      -------------------------------
                                      


                       FIRST PREFERRED FLEET MORTGAGE


           FIRST  PREFERRED FLEET MORTGAGE, made the 13th day of June, 1996
by ENSCO  OFFSHORE COMPANY II, a  corporation formed under the  laws of the
State of  Delaware, with  its address  at  2700 Fountain  Place, 1445  Ross
Avenue,  Dallas, Texas  (herein  called the "Shipowner"),  to BANKERS TRUST
COMPANY, a corporation  organized under the laws of the  State of New York,
with its  address at Four Albany  Street, Fourth Floor, New  York, New York
10006, not in its individual capacity but solely as Trustee, its successors
and assigns (herein called the "Mortgagee");

          WHEREAS:

          A.  The Shipowner is the sole owner of the whole of the following
Liberian Flag jackup drilling units:


 NAME         OFFICIAL NO.   GROSS TONS   NET TONS     HOME PORT

 ENSCO 50         9383          5395        1618       Monrovia
 ENSCO 51         9384          4089        4089       Monrovia
 ENSCO 53        10260          4976        1244       Monrovia
 ENSCO 54        10159          5563        1668       Monrovia

duly documented  in the name of the Shipowner under the law of the Republic
of Liberia.

          B.  ENSCO  Offshore Company,  ENSCO Offshore U.K.  Ltd. and  Dual
Holding  Company  ("Dual",  and  collectively, the  "Borrowers"),  each  an
affiliate  of  the  Shipowner, are  parties  to  that  certain Amended  and
Restated Credit  Agreement dated  as of September  27, 1995, as  amended by
Amendment  No. 1  dated as of  June 13,  1996 among  the Borrowers  and the
Banks, the Agents and  the Administrative Agent named therein (as  the same
may be amended from time to time, the "Credit Agreement") pursuant to which
the Banks have agreed to make available a credit facility  to the Borrowers
of up  to ONE HUNDRED FIFTY  MILLION AND 00/100 UNITED  STATES DOLLARS (USD
150,000,000.00) upon the terms and conditions therein set forth.  A copy of
the form  of the Credit Agreement, is attached hereto as Exhibit A and made
a part hereof.

          C.   The  Shipowner  has,  pursuant  to  the  ENSCO  Offshore  II
Guaranty dated as of June 13, 1996 (the "Guaranty")  in favor of the Banks,
the form of which is attached as Exhibit E to Amendment No. 1 to the Credit
Agreement  guaranteed  to the  Banks the  due and  punctual payment  of all
amounts due under Facility C of the Credit Agreement and the performance of
all  of  Dual's obligations  under  the  Facility  C Note  and  the  Credit
Agreement.   The Facility  C  Commitments are  USD  50,000,000 or,  in  the
circumstances provided in Section  4.6 of the Credit  Agreement, up to  USD
65,000,000.  Consequently the amount of this Mortgage is USD 65,000,000 and
the maturity date of this Mortgage is on demand.

          D.   Pursuant  to  the terms  of  the Trust  Indenture  among the
Borrowers, the Shipowner  and the  Mortgagee dated September  27, 1995,  as
amended  by  Supplement  No.  1  dated as  of  June  13,  1996  (the "Trust
Indenture"), the  Mortgagee has agreed to  act on behalf of  the Banks, the



Agent and the Administrative Agent with respect to the security granted  by
the Borrowers  and the Shipowner to secure the obligations under the Credit
Agreement and the Guaranty.

          E.  In order to secure the obligations of the Shipowner under the
Guaranty and  the payment of all other sums that may hereinafter be secured
by this Mortgage  in accordance with  the terms hereof,  and to secure  the
performance  and observance  of  and compliance  with  all the  agreements,
covenants  and  conditions  of  this  Mortgage,  the   Shipowner  has  duly
authorized  the  execution  and  delivery  of  this  First  Preferred Fleet
Mortgage.

          NOW, THEREFORE, in consideration  of the premises and  other good
and  valuable consideration,  and in  order to  secure the  payment  of all
amounts  outstanding under Facility C guaranteed by the Guaranty (including
the principal  of  and interest  thereon) according  to the  terms of  this
Mortgage, the Guaranty  and the Credit  Agreement, and the  payment of  all
other sums  that may hereafter  be secured by  this Mortgage in  accordance
with the terms hereof (all such  principal, interest, and other sums  being
hereinafter  called the  "Indebtedness hereby  secured") and to  secure the
performance and observance of  and  compliance with all of  the agreements,
covenants  and conditions  of this  Mortgage, the  Guaranty and  the Credit
Agreement,  the  Shipowner  has  granted,  conveyed,  mortgaged,   pledged,
confirmed,  assigned, transferred and set  over and by  these presents does
grant, convey, mortgage,  pledge, confirm, assign,  transfer and set  over,
unto the Mortgagee, and its successors  and assigns the whole of the jackup
drilling units ENSCO 50, ENSCO 51, ENSCO 53 and ENSCO 54 including, without
being limited to,  all of  the boilers, engines,  machinery, masts,  spars,
boats, anchors,  cables, chains, rigging, tackle,  capstans, outfit, tools,
pumps  and   pumping  equipment,  drills,   apparel,  furniture,  fittings,
equipment,  drilling equipment,  spare parts,  and all  other appurtenances
thereunto  appertaining  or  belonging,  whether  now  owned  or  hereafter
acquired,  and  also any  and  all  additions,  improvements, renewals  and
replacements  hereafter  made  in or  to  such drilling  rigs  or  any part
thereof,  including all  items and  appurtenances aforesaid  (such drilling
rigs,  together  with  all  of  the  foregoing,  being  herein  called  the
"Vessels").

          TO  HAVE AND  TO HOLD all  and singular  the above  mortgaged and
described  property unto the Mortgagee  and its successors  and assigns, to
its  and  to its  successors'  and  assigns' own  use,  benefit and  behoof
forever.

          PROVIDED, and these presents are upon the condition, that, if the
Shipowner or its  successors or assigns shall  pay or cause to be  paid the
Indebtedness  hereby secured  as and  when the  same  shall become  due and
payable  in accordance  with the  Credit Agreement,  the Guaranty  and this
Mortgage, and all other such  sums as may hereafter become secured  by this
Mortgage in accordance with the terms hereof, and  the Shipowner shall duly
perform, observe and  comply with or  cause to be  performed, observed,  or
complied with all the covenants, terms and conditions of this Mortgage, the
Guaranty  and the Credit Agreement  expressed or implied,  to be performed,
then  this  Mortgage  and the  estate  and  rights  hereunder shall  cease,
determine and be void, otherwise to remain in full force and effect.



          The  Shipowner for  itself,  its successors  and assigns,  hereby
covenants,  declares and agrees with  the Mortgagee and  its successors and
assigns that the Vessels are  to be held subject to the  further covenants,
conditions, terms and uses hereinafter set forth.

                                 ARTICLE I

              Representations and Covenants of the Shipowner.


          Section 1.   (a)   The Shipowner hereby  acknowledges that  it is
justly indebted  in the principal amount of USD 65,000,000 and will pay the
Indebtedness hereby secured and  will observe, perform and comply  with the
covenants,  terms and conditions herein and in  the Guaranty and the Credit
Agreement, express  or implied, on  its part  to be observed,  performed or
complied with.  

          (b)   The  obligation of  the Indebtedness  hereby secured  is an
obligation in  Dollars of the United  States of America and  the term "USD"
when  used herein shall mean such Dollars.  Notwithstanding fluctuations in
the value or rate of Dollars  in terms of gold, or any other  currency, all
payments  hereunder  or otherwise  in  respect of  the  Indebtedness hereby
secured shall be payable in terms of Dollars when due, and if not paid when
due, in  terms of Dollars when paid, whether such payment is made before or
after the due date.

          Section 2.   The Shipowner  is a corporation  duly organized  and
existing  under the laws  of the  State of Delaware  and is qualified  as a
Foreign Maritime  Entity under the  laws of the  Republic of Liberia.   The
Shipowner has full power and authority to own and mortgage the Vessels; all
action necessary and required by law for the execution and delivery of this
Mortgage has been duly  and effectively taken; and the  Indebtedness hereby
secured is  and  will  be  the valid  and  enforceable  obligation  of  the
Shipowner in accordance with its terms.

          Section 3.  The Shipowner lawfully owns and is lawfully possessed
of the  Vessels free  from any  lien or  encumbrance whatsoever  other than
(a)liens  for current crew's wages,  (b)liens covered by  valid policies of
insurance held by the Shipowner and meeting the requirements of  Section 15
below,  and  (c)liens not  covered by  insurance  incurred in  the ordinary
course of business and not more  than thirty days past due as  permitted by
Section 12.1 of the Credit Agreement  (together with (a) and (b) "Permitted
Liens"), and will warrant  and defend the title and possession  thereto and
to every part  thereof for the benefit of the  Mortgagee against the claims
and demands of all persons whomsoever.

          Section 4.   The Shipowner  will cause this  Mortgage to be  duly
recorded in accordance with the  provisions of Chapter 3 of Title 22 of the
Liberian  Code  of  Laws  of 1956,    as  amended  (hereinafter  called the
"Liberian Maritime Law"), and will otherwise comply with and satisfy all of
the provisions  of the  Liberian Maritime  Law  in order  to establish  and
maintain this Mortgage as  a first preferred mortgage lien  thereunder upon
the Vessels and upon all renewals, replacements and improvements made in or
to the same for the amount of the Indebtedness hereby secured.



          Section 5.  The Shipowner will not cause or permit the Vessels to
be  operated in  any manner  contrary to  law, and  the Shipowner  will not
engage in any  unlawful trade or  violate any law  or carry any  cargo that
will expose the Vessels to penalty, forfeiture or capture, and will not do,
or  suffer or  permit to  be done,  anything which  can or  may injuriously
affect the registration  or enrollment of  the Vessels under  the laws  and
regulations  of the  Republic of  Liberia and  will at  all times  keep the
Vessels duly documented thereunder.

          Section 6.   The Shipowner will  pay and  discharge when due  and
payable, from time to  time, all taxes, assessments, governmental  charges,
fines  and  penalties  lawfully  imposed  on  the  Vessels  or  any  income
therefrom;  provided that  the Shipowner shall  not be required  to pay any
such  tax,  assessment  or charge  if  the  validity or  amount  thereof is
concurrently  contested in good faith by appropriate proceedings and if the
Shipowner  shall have set  aside on its  books reserves  in accordance with
generally  accepted accounting principles in the United States deemed by it
adequate  with  respect to  such tax,  assessment  or charge;  and provided
further, however, that  the Shipowner will pay or cause to be paid all such
taxes,  assessments   or  charges   forthwith  upon  the   commencement  of
proceedings to foreclose any lien which is attached as security therefor.

          Section 7.  Neither  the Shipowner, any charterer, the  Master of
any  Vessel nor  any other  person has  or shall have  any right,  power or
authority  to create, incur or permit to  be placed or imposed or continued
upon  any Vessel  any  lien  whatsoever other  than  for  crew's wages  and
salvage, the lien of this Mortgage and Permitted Liens.

          Section 8.  The Shipowner will place, and at all times and places
will retain,  a properly  certified copy  of this  Mortgage  on board  each
Vessel with  her papers  and  will cause  each such  certified  copy to  be
exhibited to any and all persons having business therewith which might give
rise to any lien thereon other than liens for crew's wages and salvage, and
to any representative of the Mortgagee; and will place and keep prominently
displayed in  the chart room  and in the  Master's cabin  of each Vessel  a
framed printed notice in plain type reading as follows:

                            "NOTICE OF MORTGAGE

          This Vessel is covered  by a First Preferred  Fleet Mortgage
     in favor of Bankers Trust Company, as Trustee, under authority of
     the Chapter 3 of  Title 22 of the Liberian Code of  Laws of 1956,
     as amended.  Under the terms of said Mortgage, neither the Owner,
     nor any  charterer or the  Master of  this Vessel  nor any  other
     person  has any  right, power  or authority  to create,  incur or
     permit to be imposed  upon this Vessel any other  lien whatsoever
     except  liens for crew's wages and salvage and Permitted Liens as
     defined in such Mortgage."

          Section 9.   Except for the  lien of this Mortgage  and Permitted
Liens,  the Shipowner will not suffer to be continued any lien, encumbrance
or charge on the Vessels, and in  due course and in any event within ninety
(90)  days after the same becomes due and  payable, will pay or cause to be
discharged,  or make adequate  provision for the  satisfaction or discharge



of, all claims  or demands, which, if not paid, may  give rise to any lien,
encumbrance  or charge  on the  Vessels, or  will cause  the Vessels  to be
released or discharged from any lien, encumbrance or charge therefor.

          Section 10.  If a libel  or complaint be filed against any Vessel
or any Vessel be otherwise  attached, levied upon or taken into  custody by
virtue  of  any legal  proceeding in  any  court, tribunal  or governmental
entity (de jure  or de facto) or if any Vessel  suffers damage in excess of
USD  500,000, the Shipowner will  promptly notify the  Mortgagee thereof by
telefax,  confirmed by  letter,  at  its  address,  as  specified  in  this
Mortgage, and within thirty (30) days will cause such Vessel to be released
and all  liens thereon other than  this Mortgage to be  discharged and will
promptly notify the Mortgagee thereof in the manner aforesaid.  

          Section 11.   The Shipowner will at all times and without cost or
expense to the Mortgagee maintain  and preserve, or cause to be  maintained
and preserved, the Vessels and all its equipment, outfit and appurtenances,
tight,  staunch, strong, in good condition, working order and repair and in
all respects seaworthy and fit for its intended service, and  will keep the
Vessels, or cause her to  be kept, in such condition as will entitle her to
the highest  classification and rating for vessels of the same age and type
in American Bureau  of Shipping,  or other classification  society of  like
standing approved by  the Mortgagee.  The Vessels  shall, and the Shipowner
covenants  that they  will, at all  times comply with  all applicable laws,
treaties  and conventions to which the Republic  of Liberia is a party, and
rules and  regulations issued thereunder,  and shall  have on board  as and
when required thereby valid certificates showing compliance therewith.  The
Shipowner will not make, or  permit to be made  any change in the  physical
characteristics  of any Vessel which  would, in the  reasonable judgment of
the Mortgagee, materially interfere with the suitability of such Vessel for
normal commercial offshore drilling  operations without first receiving the
written  approval thereof  by the  Mortgagee, which  approval shall  not be
unreasonably withheld.

          Section  12.  The Shipowner  will at all  reasonable times afford
the Mortgagee or its authorized representatives full and complete access to
the Vessels during normal business hours  for the purpose of inspecting the
Vessels  and their cargoes  and papers, and the  Shipowner will deliver for
inspection  copies of such contracts and documents relating to the Vessels,
whether  on board  or not, as  the Mortgagee  may reasonably  request.  All
reasonable   expenses  incurred   by  the   Mortgagee  or   its  authorized
representatives  in the exercise of its right of inspection hereunder shall
be promptly paid by the Shipowner.

          Section 13.   The Shipowner will not transfer  or change the flag
or  port of documentation of any Vessel  without the written consent of the
Mortgagee first had  and obtained, and any such written  consent to any one
transfer or  change of flag or port of documentation shall not be construed
to be  a waiver of this  provision with respect to  any subsequent proposed
transfer or change of flag or port of documentation.  

          Section 14.  The Shipowner will not sell or mortgage, without the
written  consent of  the Mortgagee  first had  and obtained,  and any  such
written  consent to any one sale or mortgage shall not be construed to be a



waiver of this provision  with respect to  any subsequent proposed sale  or
mortgage.  Any such sale or mortgage of the Vessels shall be subject to the
provisions of this Mortgage and the lien hereof.

          Section 15.    Insurance.   (a) The  Shipowner will,  at its  own
expense, when  and so long as this Mortgage shall be outstanding, insure or
cause to  be insured  each Vessel  against  the risks  indicated below,  in
addition  to  such  other risks  which  would  be  covered by  experienced,
prudent,  and  responsible  companies  engaged  in  the  offshore  contract
drilling of hydrocarbons in places and under conditions comparable to those
in which  the  Vessels  are  employed from  time  to  time  and  possessing
financial and operating  characteristics similar to those  of the Shipowner
("Similar Companies") in accordance with the  usual and customary practices
of Similar Companies, and  keep them collectively insured, in  lawful money
of the  United States, for  not less than  the greater of  (i) 125%  of the
Facility C Commitments and (ii) the amount of coverage that would be within
the range obtained  by Similar Companies  on such Vessels.   Such insurance
shall  be on the basis of "new for  old" with no deduction for depreciation
and shall have the following minimum limits:

          (i)  Full form  marine hull  and machinery insurance  extended to
     insure against all risks of loss or damage, including  but not limited
     to the risk of loss from  blowout and cratering and against such risks
     and in such form as are approved by the Mortgagee and are necessary or
     advisable for the protection of the interests of the Mortgagee and the
     Shipowner in an  amount not less than the  greater of (A) 125%  of the
     Facility  C Commitments or  (B) the amount  of coverage  that would be
     within  the range obtained by  Similar Companies on  such Vessels. The
     deductible or self-insured retention under the policy shall not exceed
     USD 250,000 per  occurrence.  The policies shall be endorsed to delete
     the sue  and labor  requirements as  applied to  the Mortgagee  and to
     provide coverage for collision and earthquake hazards;

          (ii) Full form  marine protection and indemnity and comprehensive
     general   liability   insurance   (including  any   excess   liability
     insurance),  including coverage  for contractual  liability, pollution
     liability, contractual and legal  wreck removal, crew coverage, excess
     collision,  salvage and  general  average, care,  custody and  control
     coverage.  Such protection and indemnity insurance shall be maintained
     in  the broadest forms generally available to Similar Companies in the
     United  States,  London or  Scandinavian markets  and  shall be  in an
     amount not less than  the greater of (A) the range of  that carried by
     Similar  Companies and  (B) USD  200,000,000.   Said policy  shall not
     include  a  deductible or  self-insured  retention  in excess  of  USD
     250,000  per  occurrence.    Such  insurance  shall include  a  cross-
     liability endorsement;

          (iii)  The Shipowner shall, at all times during which the Vessels
     are operating within the jurisdiction of the United States of America,
     maintain  or cause operators of  the Vessels to  maintain insurance or
     post  bond  or satisfy  the  requirements  for  evidence of  financial
     responsibility with respect to the Vessels to cover the actual cost of
     removal of discharged  oil for which the Shipowner or  the Vessels may
     be  held  strictly liable  (or held  liable due  to negligence  of the



     Shipowner or any other Person) under the Clean Water Act  of 1977, the
     Oil Pollution Act of 1990 or the Outer Continental Shelf Lands Act, or
     under any other federal or  state law which, in the future,  may apply
     to the Vessels  or to the Shipowner; and the  Shipowner shall maintain
     or cause operators of the  Vessels to maintain insurance or post  bond
     or satisfy  the requirements for evidence  of financial responsibility
     covering similar pollution risks or liabilities incident thereto under
     any law, regulation  or judicial decision of  any foreign jurisdiction
     or jurisdictions  or political  subdivision thereof applicable  to the
     Shipowner, the Vessels or its operations;

          (iv)  Such  workmen's compensation  or longshoremen's  and harbor
     workers' insurance as shall  be required by applicable  law, including
     endorsements for Outer Continental Shelf operations, borrowed servant,
     voluntary compensation and in rem claims;

          (v)  Insurance (with  a limit  of USD 50,000,000  per occurrence)
     naming  the Shipowner and the  Mortgagee assureds and  loss payees, as
     their  interests  may   appear,  against   Operator's  Extra   Expense
     ("O.E.E.")  liability in  connection with operations conducted by  the
     Vessels with  respect to Vessels  operating under a  drilling contract
     with a  financially responsible  operator acceptable to  the Mortgagee
     that  indemnifies against such "O.E.E." arising  out of blowout (above
     and   below  ground),  cratering,   redrilling/recompletion,  cost  of
     control, clean-up, containment seepage, pollution, spillage or leakage
     in connection with  operations conducted  by the Vessel,  in form  and
     substance satisfactory  to the Mortgagee, and  third party liabilities
     ("T.P.L.")  that may  be  assumed  by  a  contract  which  is  legally
     enforceable and in form  and substance satisfactory to the  Mortgagee.
     Deductibles or  self-insured retentions  shall not exceed  USD 250,000
     ("O.E.E.")/("T.P.L.") and shall be for the account of the Shipowner;

          (vi) Excess   seepage,   pollution,   clean-up  and   containment
     liability  coverage  in the  amount of  USD  50,000,000 in  respect of
     offshore operations in excess of and following the seepage, pollution,
     clean-up  and  containment  liability   coverage  recited  in  Section
     15(a)(v) above;

          (vii)   Subject  to the  provisions of  this subsection,  War and
     Political Risk insurance  naming the  Shipowner and  the Mortgagee  as
     assureds  and loss payees, which  shall be maintained  in the broadest
     forms generally available  to Similar Companies in the  United States,
     London or  Scandinavian markets,  and shall  include coverage for  war
     risk  hull   and  machinery,   war  risk  protection   and  indemnity,
     confiscation,   expropriation,    nationalization,   deprivation   and
     inability  to  export.   Such  insurance  shall  be  in amounts,  with
     deductibles   or   self-insured   retentions   not  to   exceed,   the
     corresponding policies described in  subparagraphs (i) and (ii) above.
     The  Shipowner  shall  obtain  and  maintain War  and  Political  Risk
     Insurance for any Vessel operating in  an area deemed to be hostile by
     the Shipowner's underwriters or protection and indemnity club;

          (viii)  Upon prior written notice to the Shipowner, the Mortgagee
     may  obtain  mortgagee's  interest  insurance or  breach  of  warranty



     endorsement in favor of the Mortgagee with such underwriters and under
     forms of policies  approved by the Mortgagee in an  amount equal to at
     least  125%  of  the Facility  C  Commitments.    The Shipowner  shall
     reimburse  the Mortgagee,  upon the  Mortgagee's written  demand, from
     time  to time,  the  reasonable costs  and  expenses incurred  by  the
     Mortgagee  in effecting  and  maintaining  such  mortgagee's  interest
     insurance on such terms and in such amounts and with such underwriters
     as the Mortgagee shall deem appropriate; and

          (ix)  Upon prior  written notice to the Shipowner,  the Mortgagee
     may obtain  an Additional  Perils-Pollution  endorsement covering  the
     possible consequences of  pollution involving  the Vessels  including,
     without limitation, the risk of expropriation  or sequestration of any
     Vessel or the  imposition of a lien or encumbrance  of any kind having
     priority  over  this Mortgage.    The  Shipowner  shall reimburse  the
     Mortgagee, upon the Mortgagee's written demand, from time to time, the
     reasonable costs and  expenses incurred by the  Mortgagee in effecting
     and  maintaining on  such  terms and  in  such amounts  and  with such
     underwriters  such Additional  Perils-Pollution insurance  coverage as
     the Mortgagee shall deem appropriate.

     (b)  The Shipowner will  furnish the  Mortgagee from time  to time  on
request and, in any event, at least annually a detailed  report signed by a
firm of marine insurance  brokers or insurance companies acceptable  to the
Mortgagee  with respect  to the  insurance carried  and maintained  on each
Vessel,  together  with  their  opinion   that  the  insurance  carried  is
sufficient  in that it is  customary insurance which  an experienced broker
would effect in similar  circumstances with Similar Companies and  that, in
the opinion of the brokers, it complies with the provisions of this Section
15  and any  requirements which  the  Mortgagee may  have  notified to  the
Shipowner.   The Shipowner will use its best  efforts to cause such firm to
agree to  advise the Mortgagee  in writing promptly  of any default  in the
payment of any premium or call and of any other act or omission on the part
of the  Shipowner of which it  has knowledge and which  might invalidate or
render unenforceable, in whole or in part, any insurance on any Vessel.

     (c)  Unless the Mortgagee shall otherwise agree, all insurance for the
Vessels shall  be placed through independent brokers of recognized standing
and with clubs  or first  class underwriters reasonably  acceptable to  the
Mortgagee and must (i)  name the Mortgagee as a named assured (except as to
the  insurance  referred  to  in  Section  15(a)(iv)  above),  but  without
liability for premiums,  calls or assessments, (ii) contain  a cancellation
clause providing that the  insurers undertake not to exercise any  right of
cancellation which  they may have  by reason of non-payment  of premiums or
calls  when due without  giving thirty days'  prior written notice  of such
cancellation to  the Mortgagee and an opportunity of paying any such unpaid
premium or call, (iii)  if possible, based on the Shipowner's best efforts,
contain a  provision that  the insurance  will not  be permitted  to lapse,
terminate  or  be materially  modified without  thirty days'  prior written
notice being given to the Mortgagee (except as to the insurance referred to
in Section 15(a)(ii) and  (v) above for which fourteen  days' prior written
notice shall be required and (iv) contain the agreement of the insurer that
any loss thereunder shall  be payable to the Mortgagee  notwithstanding any
action,  inaction or breach of representation or warranty by the Shipowner,



except to  the extent  provided by subsection  (d) hereof.   The  Shipowner
shall not change underwriters or clubs  as to any insurance for the Vessels
without prompt written notice to the Mortgagee of any such change.

     (d)  All  amounts of  whatsoever  nature payable  under any  insurance
shall  be payable  to the Mortgagee  for distribution  first to  itself and
thereafter  to the  Shipowner  or others  as  their interests  may  appear.
Nevertheless,  until otherwise required by  the Mortgagee by  notice to the
underwriters, (i) amounts payable  under any insurance on the  Vessels with
respect to the protection and indemnity risks shall be paid directly to the
Shipowner to  reimburse it for any  loss, damage or expense  incurred by it
and  covered  by such  insurance or  to the  person  to whom  any liability
covered by such insurance has been incurred, and (ii) amounts payable under
any  insurance with  respect to  the Vessels  involving any  damage  to any
Vessel not constituting an actual or constructive total loss, shall be paid
by  the  underwriters directly  for the  repair,  salvage or  other charges
involved or, if the Shipowner shall have first fully repaired the damage or
paid all of the salvage or other charges, shall be paid to the Shipowner as
reimbursement therefor,  provided, no  amount  in excess  of USD  2,000,000
shall be paid from any insurances  without the prior written consent of the
Mortgagee.

     (e)  In  the  event  of an  actual  or constructive  total  loss  or a
compromised constructive  total  loss or  requisition  of any  Vessel,  all
insurance  payments therefor shall be paid to  the Mortgagee and applied to
the Obligations in accordance with the  terms of Article II, Section 206 of
the Trust  Indenture.   The  Shipowner  shall  not declare  or  agree  with
underwriters  that any Vessel is  a constructive or  compromised, agreed or
arranged constructive total loss  without the prior written consent  of the
Mortgagee.

     (f)  In  the  event of  an actual  or constructive  total loss  of any
Vessel, the Mortgagee shall  retain out of the insurance  payments received
on account  of such  loss  and held  by the  Mortgagee  in accordance  with
Section 305 of the Trust Indenture, any sum or sums that shall be or become
owing the Mortgagee under this Mortgage for the cost, if any, of collecting
the  insurance, which  sum or sums  shall become  the sole  property of the
Mortgagee,  and pay the  balance to the  Banks for  application pursuant to
Section 6.5 of the Credit Agreement.

          Section 16.  The Shipowner will reimburse the  Mortgagee promptly
with interest at the rate described in Section 5.3 of the Credit Agreement,
for  any and  all expenditures which  the Mortgagee  may from  time to time
make, lay  out  or  expend  in providing  such  protection  in  respect  of
insurance,  discharge  or  purchase  of liens,  taxes,  dues,  assessments,
governmental  charges,  fines  and  penalties  lawfully  imposed,  repairs,
attorney's  fees, necessary  translation  fees  for  documents  made  in  a
language  other than  English,  and  other  matters  as  the  Shipowner  is
obligated herein to provide, but fails to provide.  Such  obligation of the
Shipowner to  reimburse the Mortgagee  shall be an  additional indebtedness
due from the Shipowner, secured  by this Mortgage, and shall be  payable by
the Shipowner on demand.  The Mortgagee, though privileged to  do so, shall
be under no obligation to the  Shipowner to make any such expenditures, nor
shall  the  making thereof  relieve the  Shipowner of  any default  in that



respect.

          Section 17.  The Shipowner will fully perform any and all charter
parties  or drilling  contracts which  are, or  may be,  entered into  with
respect to the Vessels.

          Section  18.  The Shipowner further covenants and agrees with the
Mortgagee  that, so  long as  any part  of the Indebtedness  hereby secured
remains unpaid, there shall be  no change in the ownership of  the Vessels,
without the prior written consent of the Mortgagee.

          Section 19.   Requisition, Seizure or Forfeiture.   The Shipowner
covenants  and  agrees  that,  in   the  event  any  of  the   Vessels  are
requisitioned, seized or  forfeited by  any Governmental Agency  or by  any
group or body purporting to  act as such, and such requisition,  seizure or
forfeiture is not reversed and the Vessels released therefrom within thirty
(30) days,  the Shipowner will  cause all payments  made in respect  of any
such requisition, seizure or forfeiture  to be paid to the Mortgagee  to be
held and applied  by the Mortgagee for prepayment of the Facility C Note in
the manner set forth in Section 11 of Article II of this Mortgage; provided
however, that if any  such requisition, seizure or forfeiture  applies only
to the  use of the  Vessels, the provisions  of this  Section 19 shall  not
apply if and so long as the Shipowner shall not be in default in respect of
any  of its  obligations under this  Mortgage, the Credit  Agreement or the
Facility C Note secured hereby.

                                 ARTICLE II

                      Events of Default and Remedies.


          Section 1.   In case any one  or more of the events  described in
Section 13.1 of the Credit Agreement as "Events of Default" shall occur and
be continuing:

      THEN, upon the  occurrence and  continuance of any  Event of  Default
after the applicable  grace period, and  in each and  every such case,  the
Mortgagee shall  have the right in  accordance with the terms  of the Trust
Indenture to:

          (1)  Declare all  the then unpaid Indebtedness hereby  secured to
     be  due and payable immediately,  and upon such  declaration the same,
     including  interest  to date  of  declaration,  shall  become  and  be
     immediately due and payable;

          (2)  Exercise all of  the rights and remedies in  foreclosure and
     otherwise given  to mortgagees  by the  provisions of  the law of  the
     Republic of Liberia or of any  other jurisdiction where any Vessel may
     be found;

          (3)  Bring suit at law, in  equity or in admiralty, as it may  be
     advised by counsel,  to recover judgment  for the Indebtedness  hereby
     secured,  and collect  the same  out of  any and  all property  of the
     Shipowner whether covered by this Mortgage or otherwise;



          (4)  Take and enter into possession of the Vessels,  at any time,
     wherever  the same  may be,  without legal  process and  without being
     responsible  for loss or damage, and the  Shipowner or other person in
     possession forthwith upon demand  of the Mortgagee shall  surrender to
     the Mortgagee possession of the Vessels and the Mortgagee may, without
     being  responsible for loss or  damage, hold, lay  up, lease, charter,
     operate  or otherwise  use such  Vessels for such  time and  upon such
     terms as it may deem to be for its best advantage, and demand, collect
     and  retain all  hire, freights,  earnings, issues,  revenues, income,
     profits, return premiums, salvage  awards or recoveries, recoveries in
     general average, and all other sums due or to become due in respect of
     such Vessels or in  respect of any  insurance thereon from any  person
     whomsoever,  accounting only for the net profits, if any, arising from
     such use of the Vessels and charging upon all receipts from the use of
     the Vessels or from the sale  thereof by court proceedings or pursuant
     to  Subsection  (5)  next  following, all  costs,  expenses,  charges,
     damages  or losses  by reason  of such  use; and  if at  any time  the
     Mortgagee shall  avail itself of the right herein given it to take the
     Vessels, the Mortgagee shall have the right to dock the Vessels, for a
     reasonable time at  any dock, pier or other premises  of the Shipowner
     without charge, or  to dock  her at any  other place  at the cost  and
     expense of the Shipowner;

          (5)  Without legal process and  without being responsible for any
     loss  or damage, sell any or all of  the Vessels at such places and at
     such time  as the  Mortgagee may   specify and  in such manner  as the
     Mortgagee may deem advisable free  from any claim by the Shipowner  in
     admiralty, in equity, at law or by statute, after first  giving notice
     of the time and  place of any such sale with a  general description of
     the property in the following manner:

          (a)  by  publishing such  notice  for ten  consecutive days  in a
               daily newspaper of general circulation  published in Dallas,
               Texas;

          (b)  if the place  of sale  should not be  in Dallas, Texas  then
               also  by  publication  of  a  similar  notice  in  a   daily
               newspaper, if any, published at the place of sale; and

          (c)  by mailing a similar  notice to the Shipowner on  the day of
               first publication.

The  Mortgagee may adjourn any such sale  from time to time by announcement
at  the time and place appointed for such  sale or for such adjourned sale,
and without further  notice or publication the Mortgagee  may make any such
sale at the time  and place to which the  same shall be so adjourned.   Any
such  sale  may be  conducted without  bringing  the Vessels  to  the place
designated for such sale and in such manner as Mortgagee may deem to be for
its best advantage.

          Section  2.   Any  sale of  a Vessel  made  in pursuance  of this
Mortgage, whether under  the power of sale  hereby granted or  any judicial
proceedings, shall operate  to divest all right, title and  interest of any
nature whatsoever of the  Shipowner therein and thereto, and shall  bar the



Shipowner, its successors and assigns, and all persons claiming by, through
or under them.  No purchaser  shall be bound to inquire whether  notice has
been  given, or whether any default has occurred, or as to the propriety of
the sale, or as to the application of the proceeds thereof.  In case of any
such sale, the Mortgagee, if it is the purchaser, shall be entitled for the
purpose of  making settlement or payment for  the property purchased to use
and  apply the  Indebtedness  hereby secured  in  order that  there  may be
credited  against  the amount  remaining due  and  unpaid thereon  the sums
payable out  of  the net  proceeds  of such  sale  to the  Mortgagee  after
allowing for the costs and expense of sale and other charges; and thereupon
such  purchaser shall be credited, on  account of such purchase price, with
the  net proceeds that  shall have been  so credited upon  the Indebtedness
hereby secured.   At any such judicial sale, the  Mortgagee may bid for and
purchase such property and upon compliance with the terms of sale may hold,
retain  and  dispose  of   such  property  without  further  accountability
therefor.

          Section 3.  The Mortgagee is hereby appointed attorney-in-fact of
the Shipowner, to  execute and deliver to  any purchaser aforesaid,  and is
hereby vested with  full power and  authority to make, in  the name and  in
behalf of the Shipowner,  a good conveyance of the  title to the Vessel  so
sold.   In  the event  of any sale  of the  Vessel, under  any power herein
contained,  the  Shipowner will,  if and  when  required by  the Mortgagee,
execute such form of conveyance  of the Vessel as the Mortgagee  may direct
or approve.

          Section 4.  The Mortgagee is hereby appointed attorney-in-fact of
the Shipowner upon the happening  of any event of  default, in the name  of
the Shipowner to demand,  collect, receive, compromise and sue  for, so far
as may be  permitted by law, all freight, hire, earnings, issues, revenues,
income and  profits of the  Vessels and  all amounts due  from underwriters
under any insurance  thereon as payment of losses or  as return premiums or
otherwise,  salvage awards and recoveries, recoveries in general average or
otherwise, and  all other  sums due or  to become  due at  the time of  the
happening of any event of  default in respect of the Vessels, or in respect
of any insurance thereon, from any person whomsoever, and to make, give and
execute  in the name of  the Shipowner acquittances,  receipts, releases or
other  discharges for the  same, whether  under seal  or otherwise,  and to
endorse and  accept in the name of the Shipowner all checks, notes, drafts,
warrants, agreements and other  instruments in writing with respect  to the
foregoing.

          Section 5.   Whenever any right to  enter and take possession  of
the  Vessels accrues  to  the Mortgagee,  it may  require the  Shipowner to
deliver, and  the Shipowner shall on  demand, at its own  cost and expense,
deliver  to the Mortgagee the Vessels as  demanded.  If the Mortgagee shall
be entitled to  take any legal proceedings to enforce  any right under this
Mortgage,  the Mortgagee  shall be  entitled as  a matter  of right  to the
appointment of  a  receiver of  the  Vessels  and of  the  freights,  hire,
earnings, issues, revenues,  income and profits  due or to  become due  and
arising from the operation thereof.

          Section 6.   The Shipowner authorizes and  empowers the Mortgagee
or  its appointees or any of  them to appear in the  name of the Shipowner,
its  successors and assigns, in  any court of any country  or nation of the
world where a suit is pending against a Vessel  because of or on account of
any alleged  lien against the  Vessel from  which the Vessel  has not  been



released and to take  such proceedings as to them  or any of them  may seem
proper towards  the defense of such  suit and the purchase  or discharge of
such lien, and all expenditures made or incurred by them or any of them for
the purpose of  such defense or purchase  or discharge shall be  a debt due
from the Shipowner, its successors and assigns, to the Mortgagee, and shall
be secured by the lien of this Mortgage in like manner and extent as if the
amount and description thereof were written herein.

          Section  7.  The Shipowner  covenants that upon  the happening of
any one  or more of the  events of default,  the Shipowner will pay  to the
Mortgagee  the whole amount due and  payable in respect of the Indebtedness
hereby  secured;  and in  case the  Shipowner shall  fail  to pay  the same
forthwith,  the Mortgagee  shall be  entitled to  recover judgment  for the
whole amount so due and unpaid, together with such further amounts as shall
be sufficient  to  cover the  reasonable  compensation to  the  Mortgagee's
agents,  attorneys and  counsel and  any necessary  advances,  expenses and
liabilities made or incurred by it  hereunder.  All moneys collected by the
Mortgagee under  this  Section  7 shall  be  applied by  the  Mortgagee  in
accordance  with the provisions of Section 11 of this Article II.

          Section 8.  Each and  every power and remedy herein given  to the
Mortgagee shall be cumulative and shall be in addition to every other power
and remedy herein given or now or hereafter existing at  law, in equity, in
admiralty or by statute, and each and every power and remedy whether herein
given or otherwise existing may be exercised from time to time and as often
and in  such order  as may be  deemed expedient  by the Mortgagee,  and the
exercise or the beginning  of the exercise of any power or remedy shall not
be construed to be  a waiver of the right  to exercise at the same  time or
thereafter  any  other power  or  remedy.   No  delay  or  omission by  the
Mortgagee in the  exercise of any right or power or in the pursuance of any
remedy accruing  upon any default  as above  defined shall impair  any such
right, power or remedy or be construed to be a waiver of any such  event of
default or to be an  acquiescence therein; nor shall the acceptance  by the
Mortgagee  of  any security  or of  any  payment of  or on  account  of the
Indebtedness hereby secured maturing after  any event of default or  of any
payment on account  of any past default be construed to  be a waiver of any
right to take advantage of any future event of default or of any past event
of default not completely cured thereby.  No consent, waiver or approval of
the Mortgagee  shall be deemed to  be effective unless in  writing and duly
signed by authorized signatories of the Mortgagee.

          Section 9.  If at any time after an event of default and prior to
the actual sale of a Vessel by the Mortgagee or prior to any enforcement or
foreclosure proceedings the Shipowner offers  completely to cure all events
of default and to pay  all expenses, advances and damages to  the Mortgagee
consequent  on such  events of default,  with interest with  respect to the
Shipowner's obligations as provided  herein or in the Guaranty as set forth
therein, then the  Mortgagee may accept such offer and  payment and restore
the Shipowner to its former position, but such action, if  taken, shall not
affect  any subsequent  event of  default or  impair any  rights consequent
thereon.



          Section  10.   In  case the  Mortgagee  shall have  proceeded  to
enforce  any right,  power or  remedy under  this Mortgage  by foreclosure,
entry  or otherwise, and such  proceedings shall have  been discontinued or
abandoned for  any reason or  shall have  been determined adversely  to the
Mortgagee,  then and in  every such  case the  Shipowner and  the Mortgagee
shall  be  restored to  their former  positions  and rights  hereunder with
respect to  the  property  subjects or  intended  to be  subjects  to  this
Mortgage,  and all  rights,  remedies and  powers  of the  Mortgagee  shall
continue as if no such proceedings had been taken.

          Section 11.  The  proceeds of any  sale of a  Vessel and the  net
earnings of any  charter operation or other  use of the Vessel  and any and
all  other moneys received by the Mortgagee  pursuant to or under the terms
of this Mortgage or  in any proceedings hereunder, the application of which
has not elsewhere herein  been specifically provided for, shall  be applied
as follows:

          First:  To the payment of all expenses and charges, including the
     expenses of any sale,  the expenses of any retaking,  attorney's fees,
     court costs,  and any other expenses  or advances made or  incurred by
     the Mortgagee  in the protection of its rights or the pursuance of its
     remedies hereunder;

          Second:    To the  payment  of  the  Indebtedness hereby  secured
     pursuant  to Section 6.4 of the Credit  Agreement, whether due or not,
     including interest thereon to the date of such payment; and

          Third:    To  the Shipowner  or  to  whomsoever  may be  entitled
     thereto.

          Section 12.    Until one or more of the  Events of Default herein
above  described  shall happen,  the Shipowner  (a)  shall be  suffered and
permitted to retain actual possession and use of the Vessels; (b)may at any
time  alter, repair, change or  re-equip the Vessels,  subject, however, to
the provisions  of Section  11 of  Article I hereof  and (c)shall  have the
right, from time to time  in its discretion and without application  to the
Mortgagee, and without  obtaining a  release thereof by  the Mortgagee,  to
dispose of, free  from the  lien hereof, any  boilers, engines,  machinery,
masts,  spars, sails,  rigging,  boats, anchors,  chains, tackle,  apparel,
furniture,  fittings,  drilling  equipment,  pumps, drill  pipes,  collars,
racking, housing, spare parts and supporting inventory, vehicles  or living
quarters  or any other appurtenances of the Vessels, provided, however that
during any consecutive  twelve (12)  month period, the  Shipowner may  make
such disposition  from the  Vessels only  up to an  aggregate value  of USD
2,000,000 and provided further that such limitation shall not apply if  the
Shipowner first or  simultaneously replaces the  same by boilers,  engines,
machinery, masts,  spars, sails,  rigging, boats, anchors,  chains, tackle,
apparel,  furniture, fittings,  drilling  equipment,  pumps,  drill  pipes,
collars, racking,  housing, spare parts and  supporting inventory, vehicles
or  living quarters or any  other appurtenance with  those of substantially
equal value to the  Shipowner, which shall forthwith become  subject to the
lien of this Mortgage as a preferred mortgage thereon.




          Section 13.    (a)  If any  provision of this Mortgage should  be
deemed invalid or shall  be deemed to affect adversely the preferred status
of this Mortgage under any applicable law, such provision shall cease to be
a part of this  Mortgage without affecting the remaining  provisions, which
shall remain in full force and effect.

          (b)  In the event that the Guaranty, the Credit Agreement or this
Mortgage or any of the documents or instruments which may from time to time
be delivered hereunder  or thereunder  or any provision  hereof or  thereof
shall be  deemed invalidated by present  or future law of any  nation or by
decision  of any  court, or  if any  third party  shall fail  or refuse  to
recognize  any of the powers granted to  the Mortgagee hereunder when it is
sought  to exercise  them,  this  shall  not  affect  the  validity  and/or
enforceability  of all  or  any other  parts of  the  Guaranty, the  Credit
Agreement or the Mortgage or such documents or instruments and, in any such
case, the  Shipowner covenants and agrees that,  on demand, it will execute
and deliver  such  other and  further  agreements and/or  documents  and/or
instruments and do such things as the Mortgagee in its  sole discretion may
deem to be  necessary to carry  out the true intent  of this Mortgage,  the
Guaranty and the Credit Agreement. 

          (c)   Anything  herein  to the  contrary  notwithstanding, it  is
intended  that  nothing herein  shall waive  the  preferred status  of this
Mortgage and  that, if  any provision  or portion  thereof herein shall  be
construed  to  waive  the preferred  status  of  this  Mortgage, then  such
provision to such extent shall be void and of no effect.


                                ARTICLE III

                             Sundry Provisions.


          Section  1.   All of  the covenants,  promises, stipulations  and
agreements  of  the Shipowner  in this  Mortgage  contained shall  bind the
Shipowner and its successors and assigns and shall inure to  the benefit of
the Mortgagee and  its respective successors and assigns.   In the event of
any assignment or transfer of this Mortgage, the term "Mortgagee",  as used
in this Mortgage, shall be deemed to mean any such assignee or transferee.

          Section  2.   Wherever and  whenever herein  any right,  power or
authority  is  granted or  given  to the  Mortgagee, such  right,  power or
authority  may be exercised in all cases by  the Mortgagee or such agent or
agents as it may  appoint, and the act or acts of such agent or agents when
taken shall constitute the act of the Mortgagee hereunder.

          Section  3.   This  Mortgage may  be executed  in  any number  of
counterparts, each of  which shall  be an original,  but such  counterparts
shall together constitute but one and the same instrument.



          Section 4.  The Shipowners shall give the Mortgagee notice of any
Event  of Default  hereunder and shall  provide all other  notices or other
communication to be  given pursuant  hereto in the  manner provided in  the
Credit Agreement and addressed:

     If to the Mortgagee to

          Bankers Trust Company, as Trustee
          Four Albany Street, Fourth Floor
          New York, New York  10006
          United States of America
          Telefax No. (212) 250-6392
          Attention: Corporate Trust and Agency Group

     And if to the Shipowner to

          ENSCO Offshore Company II
          2700 Fountain Place
          1445 Ross Avenue
          Dallas, Texas  75202
          Telefax No. (214) 855-0300
          Attention: Chief Financial Officer 

or  at such  other  address as  either party  may  notify to  the other  in
writing.

          Section  5.  For  the purpose  of recording  this Mortgage  as is
required  under Liberian  Maritime  Law, the  total  amount of  this  First
Preferred  Fleet Mortgage  is SIXTY-FIVE  MILLION AND 00/100  UNITED STATES
DOLLARS  (USD  65,000,000.00),  and  interest thereon  and  performance  of
mortgage covenants.  The maturity date is on Demand.  There  is no separate
discharge amount.

          IN WITNESS WHEREOF, the Shipowner has caused this First Preferred
Fleet Mortgage to be duly executed the day and year first above written.


                              ENSCO OFFSHORE COMPANY II
                         

                              By:       /s/ ROBERT O. ISAAC
                                        -----------------------------------
                              Name:         Robert O. Isaac
                              Title:        Assistant Secretary




STATE OF TEXAS      )
: ss.:
COUNTY OF HARRIS    )


          On this 13th  day of  June, 1996, before  me personally  appeared
Robert O. Isaac, to me known,  who, being by me duly sworn, did  depose and
say that he resides  at 2700 Fountain Place Dallas,  Texas; that he is  the
Assistant Secretary of ENSCO Offshore  Company II, a Delaware  corporation,
and the corporation described  in the foregoing instrument; that  he signed
his name thereto by order  of the authority from the Board of  Directors of
said corporation and that the  foregoing instrument is the act and  deed of
the corporation.



                              /s/ S. N. Nixon
                              ------------------------------
                                      Notary Public


For use in
the Republic of Liberia



                              [----------------------------------------]
                              [                                        ]
                              [Notary             S. N. NIXON          ]
                              [ Seal      Notary Public, State of Texas]
                              [             Commission Expires 7-18-99 ]
                              [                                        ]
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