UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549



                                    FORM 10-Q

                                   (Mark One)

 [X]   Quarterly Report Pursuant to Section 13 or 15(d) of the Securities 
       Exchange Act of 1934

                  For the quarterly period ended March 31, 1999

                                       or

[  ]  Transition Report Pursuant to Section 13 or 15(d) of the Securities 
      Exchange Act of 1934

                        For the transition period from to

                         Commission file number 1-12074


                            STONE ENERGY CORPORATION
             (Exact name of registrant as specified in its charter)

          Delaware                                              72-1235413
   (State or other jurisdiction                               (I.R.S. employer
  of incorporation or organization)                          identification no.)


      625 E. Kaliste Saloom Road                                    70508
          Lafayette, Louisiana                                    (Zip code)
 (Address of principal executive offices)

       Registrant's telephone number, including area code: (318) 237-0410


     Indicate  by check mark  whether the  Registrant  (1) has filed all reports
required to be filed by Section 13 or 15(d) of the  Securities  Exchange  Act of
1934  during  the  preceding  12 months  (or for such  shorter  period  that the
registrant was required to file such reports),  and (2) has been subject to such
filing requirements for the past 90 days.

                                  Yes X No ___

     As of May 13, 1999 there were 15,085,408 shares of the Registrant's  Common
Stock, par value $.01 per share, outstanding.







                                TABLE OF CONTENTS


                                                                            Page
                                     PART I

Item 1.           Financial Statements:
                   Condensed Consolidated Balance Sheet
                     as of March 31, 1999 and December 31, 1998..........      1

                   Condensed Consolidated Statement of Operations
                     for the Three Months Ended 
                     March 31, 1999 and 1998.............................      2

                   Condensed Consolidated Statement of Cash Flows
                     for the Three Months Ended 
                     March 31, 1999 and 1998.............................      3

                   Notes to Condensed Consolidated 
                     Financial Statements................................      4

                   Auditors' Review Report...............................      7

Item 2.           Management's Discussion and Analysis of Financial
                   Condition and Results of Operations...................      8


                                     PART II

Item 5.           Other Information......................................     11

Item 6.           Exhibits and Reports on Form 8-K.......................     11










                            STONE ENERGY CORPORATION
                      CONDENSED CONSOLIDATED BALANCE SHEET
                                 (In thousands)





                                                                              March 31,                 December 31,
                                Assets                                          1999                        1998
                                                                      ------------------------     ----------------------
                                                                            (Unaudited)
Current assets:                                                                                                     
    Cash and cash equivalents....................................                    $12,987                    $10,550
    Marketable securities, at market.............................                     17,009                     16,853
    Accounts receivable..........................................                     19,888                     26,803
    Other current assets.........................................                         52                        184
                                                                      ------------------------     ----------------------
      Total current assets.......................................                     49,936                     54,390

Oil and gas properties, net:
    Proved.......................................................                    290,724                    286,098
    Unevaluated..................................................                      8,753                      7,726

Building and land, net...........................................                      3,810                      3,559
Fixed assets, net................................................                      1,948                      1,336
Other assets, net................................................                      3,363                      3,460
Deferred tax asset...............................................                      8,877                      9,821
                                                                      ------------------------     ----------------------
      Total assets...............................................                   $367,411                   $366,390
                                                                      ========================     ======================

                 Liabilities and Stockholders' Equity

Current liabilities - accounts payable and
    accrued liabilities..........................................                    $39,897                    $44,506
Long-term loans..................................................                    213,913                    209,936
Other long-term liabilities......................................                      6,351                      6,616
                                                                      ------------------------     ----------------------
      Total liabilities..........................................                    260,161                    261,058
                                                                      ------------------------     ----------------------

Common stock.....................................................                        151                        151
Additional paid in capital.......................................                    119,380                    119,208
Retained deficit.................................................                   (12,281)                   (14,027)
                                                                      ------------------------     ----------------------
      Total stockholders' equity.................................                    107,250                    105,332
                                                                      ------------------------     ----------------------
      Total liabilities and stockholders' equity                                    $367,411                   $366,390
                                                                      ========================     ======================











                                             STONE ENERGY CORPORATION
                                  CONDENSED CONSOLIDATED STATEMENT OF OPERATIONS
                                     (In thousands, except per share amounts)
                                                    (Unaudited)





                                                                                       Three Months Ended
                                                                                           March 31,
                                                                        ------------------------------------------------
                                                                                1999                       1998
                                                                        --------------------       ---------------------
            
Revenues                                                                                                    
    Oil and gas production.......................................                  $30,490                     $28,357
    Overhead reimbursements and management fees                                        161                         146
    Other income.................................................                      271                         292
                                                                        --------------------       ---------------------
      Total revenues.............................................                   30,922                      28,795
                                                                        --------------------       ---------------------

Expenses
    Normal lease operating expenses..............................                    4,828                       3,597
    Major maintenance expenses...................................                      100                         455
    Production taxes.............................................                      515                         532
    Depreciation, depletion and amortization                                        17,688                      15,217
    Interest.....................................................                    3,814                       2,529
    Salaries, general and administrative                                             1,077                       1,072
    Incentive compensation plan..................................                      210                         275
                                                                        --------------------       ---------------------
      Total expenses.............................................                   28,232                      23,677
                                                                        --------------------       ---------------------
Net income before income taxes...................................                    2,690                       5,118
                                                                        --------------------       ---------------------
Provision for income taxes
    Current......................................................                        -                           -
    Deferred.....................................................                      944                       1,820
                                                                        --------------------       ---------------------
                                                                                       944                       1,820
                                                                        --------------------       ---------------------
Net income.......................................................                   $1,746                      $3,298
                                                                        ====================       =====================
Earnings per common share (see Note 2):
    Basic earnings per share.....................................                    $0.12                       $0.22
                                                                        ====================       =====================
    Diluted earnings per share...................................                    $0.11                       $0.22
                                                                        ====================       =====================
    Average shares outstanding...................................                   15,078                      15,061
                                                                        ====================       =====================
    Average shares outstanding assuming dilution                                    15,281                      15,319
                                                                        ====================       =====================













                                             STONE ENERGY CORPORATION
                                  CONDENSED CONSOLIDATED STATEMENT OF CASH FLOWS
                                                  (In thousands)
                                                    (Unaudited)



                                                                                       Three Months Ended
                                                                                           March 31,
                                                                        ------------------------------------------------
                                                                                1999                       1998
                                                                        --------------------       ---------------------
                                          
Cash flows from operating activities:                                                                        
Net income......................................................                    $1,746                      $3,298
    Adjustments to reconcile net income to net cash
         provided by operating activities:
          Depreciation, depletion and amortization                                  17,688                      15,217
          Provision for deferred income taxes                                          944                       1,820
                                                                        --------------------       ---------------------
                                                                                    20,378                      20,335
          Increase in marketable securities                                          (156)                     (12,917)
          Decrease in accounts receivable                                            6,915                         509
          Decrease in other current assets                                             110                         106
          Increase (decrease) in accrued liabilities                                (5,040)                      3,814
          Other.................................................                      (264)                        (18)
                                                                        --------------------       ---------------------
Net cash provided by operating activities                                           21,943                      11,829
                                                                        --------------------       ---------------------

Cash flows from investing activities:
 Investment in oil and gas properties...........................                 (22,592)                      (48,745)
 Building additions and renovations.............................                    (274)                          -
(Increase) decrease in other assets .............................                   (790)                        1,095            
                                                                        --------------------       ---------------------
Net cash used in investing activities                                             (23,656)                    (47,650)
                                                                        --------------------       ---------------------

Cash flows from financing activities:
   Proceeds from borrowings.....................................                     4,000                      35,000
   Repayment of debt............................................                      (22)                        (21)
   Deferred financing costs......................................                        -                       (152)
   Exercise of stock options....................................                       172                         228
                                                                        --------------------       ---------------------
Net cash provided by financing activities                                            4,150                      35,055
                                                                        --------------------       ---------------------
Net increase (decrease) in cash and cash equivalents                                 2,437                       (766)
Cash and cash equivalents, beginning of period                                      10,550                      10,304
                                                                        --------------------       ---------------------
Cash and cash equivalents, end of period                                           $12,987                      $9,538
                                                                        ====================       =====================
                                                                        

Supplemental  disclosures of cash flow information:  Cash paid during the period
   for:
      Interest (net of amount capitalized)                                          $6,026                      $4,756
      Income taxes..............................................                         -                           -















                            STONE ENERGY CORPORATION
              NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS


Note 1 - INTERIM FINANCIAL STATEMENTS

         The  condensed   consolidated  financial  statements  of  Stone  Energy
Corporation  (the  "Company") at March 31, 1999 and for the  three-month  period
then ended are unaudited and reflect all adjustments  (consisting only of normal
recurring adjustments) which are, in the opinion of management,  necessary for a
fair  presentation  of the  financial  position  and  operating  results for the
interim period. The condensed  consolidated  financial statements should be read
in conjunction  with the  consolidated  financial  statements and notes thereto,
together with  management's  discussion and analysis of financial  condition and
results of operations, contained in the Company's Annual Report on Form 10-K for
the year ended December 31, 1998. The results of operations for the  three-month
period ended March 31, 1999 are not necessarily  indicative of future  financial
results. Certain prior year amounts have been reclassified to conform to current
year presentation.

Note 2 - EARNINGS PER SHARE

         Basic net income per share of common stock was  calculated  by dividing
net income applicable to common stock by the  weighted-average  number of common
shares  outstanding  during the  period.  Diluted net income per share of common
stock was  calculated  by dividing net income  applicable to common stock by the
weighted-average  number of common shares outstanding during the period plus the
weighted-average  number of dilutive stock options granted to outside  directors
and certain  employees which totaled  approximately  203,000 shares in the first
quarter of 1999 and 258,000  shares in the first quarter of 1998.  Options which
were considered  antidilutive because the exercise price of the options exceeded
the average price for the applicable period totaled  approximately  7,800 shares
and 100 shares during the first quarters of 1999 and 1998, respectively.

Note 3 - HEDGING ACTIVITIES

     In order to reduce its exposure to the possibility of declining oil and gas
prices,  from time to time the Company hedges with third parties  certain of its
crude oil and natural gas  production in various swap agreement  contracts.  The
crude oil contracts are tied to the price of NYMEX light sweet crude oil futures
and are settled monthly based on the differences between contract prices and the
average  NYMEX prices for that month  applied to the related  contract  volumes.
Settlement  for gas swap  contracts  is based on the average  closing  prices of
either  the last  three days or last full month of trading on the NYMEX for each
month of the swap.








         The Company's  forward  positions as of May 13, 1999, are summarized as
follows:




                                             Oil                                  Gas
                                   --------------------------          ---------------------------
                                                    Average                              Average
                                    MBbls            Price               Bbtu             Price
                                   --------        ----------          ----------     -----------
                                                                               
Second quarter, 1999               300.7            $16.43              3,640             $2.195
Third quarter, 1999                340.4             16.34              4,600              2.211
Fourth quarter, 1999                 -                 -                4,600              2.450
First quarter, 2000                  -                 -                4,550              2.528



     During the first  quarter of 1999,  the  Company had 38% of its natural gas
production  hedged at $2.535 per MMBTU. As a result,  the Company realized a net
hedging gain of $2.4 million,  which was recorded in the accompanying  condensed
consolidated statement of operations as an increase of revenues from oil and gas
production.

Note 4 - LONG-TERM LOANS

     In May 1999,  the Company's  bank group  increased the borrowing base under
the Company's bank credit  facility from $120.0 million to $127.5  million.  The
borrowing base limitation is based on a borrowing base amount established by the
banks for the Company's oil and gas  properties.  Interest under the revolver is
payable quarterly and at March 31, 1999, the  weighted-average  interest rate of
the facility was 6.3% per annum,  the total  outstanding  principal  balance was
$111.0 million and letters of credit totaling $7.5 million had been issued 
pursuant to the facility.

Note 5 - NEW ACCOUNTING STANDARDS

         In June 1997,  the FASB issued SFAS No. 130,  "Reporting  Comprehensive
Income" and SFAS No. 131,  "Disclosures  About  Segments  of an  Enterprise  and
Related  Information." SFAS No. 130 establishes  standards for the reporting and
display  of  comprehensive  income in the  financial  statements.  Comprehensive
income is the total of net income and all other non-owner changes in equity. For
the quarter  ended  March 31, 1999 and the year ended  December  31,  1998,  the
Company's only component of  comprehensive  income was net income.  SFAS No. 131
requires that  companies  disclose  segment data based on how  management  makes
decisions   about   allocating   resources  to  segments  and  measuring   their
performance.  Because the Company  operates in a single industry within a single
geographic location, the Company does not have separately  identifiable segments
as defined under SFAS No. 131.  SFAS Nos. 130 and 131 became  effective and were
adopted by the  Company  during 1998 with no effect on the  Company's  financial
statements, financial position or results of operations.









         In June 1998, the FASB issued SFAS No. 133,  "Accounting for Derivative
Instruments and Hedging  Activities." The Statement  establishes  accounting and
reporting standards that require every derivative  instrument (including certain
derivative  instruments  embedded  in other  contracts)  to be  recorded  in the
balance  sheet as either an asset or  liability  measured  at its fair value and
that changes in the derivative's fair value be recognized  currently in earnings
unless specific hedge accounting  criteria are met. The Company expects to adopt
SFAS No.  133 during  the first  quarter  of 2000.  Because of the nature of the
Company's  only  derivative  instrument,  the  Company  does not expect that the
adoption of SFAS No. 133 will have a material impact on the Company's results of
operations.  However,  the  adoption  may create  volatility  in equity  through
changes in other comprehensive income.









                             AUDITORS' REVIEW REPORT



TO THE STOCKHOLDERS OF
STONE ENERGY CORPORATION:



     We have reviewed the accompanying  condensed  consolidated balance sheet of
Stone Energy Corporation (a Delaware  corporation) as of March 31, 1999, and the
related condensed  consolidated  statements of operations and cash flows for the
three-month  periods ended March 31, 1999 and 1998.  These financial  statements
are the responsibility of the Company's management.

     We conducted our reviews in accordance  with  standards  established by the
American  Institute  of  Certified  Public  Accountants.  A  review  of  interim
financial  information consists principally of applying analytical procedures to
financial  data and making  inquiries of persons  responsible  for financial and
accounting matters. It is substantially less in scope than an audit conducted in
accordance with generally accepted auditing standards, the objective of which is
the  expression  of an opinion  regarding the  financial  statements  taken as a
whole. Accordingly, we do not express such an opinion.

         Based on our reviews,  we are not aware of any  material  modifications
that should be made to the financial statements referred to above for them to be
in conformity with generally accepted accounting principles.

         We have  previously  audited,  in accordance  with  generally  accepted
auditing standards, the balance sheet of Stone Energy Corporation as of December
31, 1998 (not  presented  herein),  and, in our report  dated March 2, 1999,  we
expressed  an  unqualified  opinion  on  that  statement.  In our  opinion,  the
information set forth in the accompanying  condensed  consolidated balance sheet
as of December 31, 1998, is fairly stated, in all material respects, in relation
to the balance sheet from which it has been derived.



                                                       ARTHUR ANDERSEN LLP
New Orleans, Louisiana
May 3, 1999








                     MANAGEMENT'S DISCUSSION AND ANALYSIS OF
                  FINANCIAL CONDITION AND RESULTS OF OPERATIONS



GENERAL

     Stone Energy  Corporation is an independent  oil and gas company engaged in
the  development,   exploration,  acquisition  and  operation  of  oil  and  gas
properties  onshore and  offshore in the Gulf Coast  Basin.  The Company and its
predecessors  have been active in the Gulf Coast  Basin since 1973,  which gives
the Company extensive  geophysical,  technical and operational expertise in this
area. The Company's business strategy is to increase  production,  cash flow and
reserves through the acquisition and development of mature properties located in
the Gulf Coast Basin.

RESULTS OF OPERATIONS

         The  following  table sets forth  certain  operating  information  with
respect to the oil and gas operations of the Company for the three-month periods
ended March 31, 1999 and 1998.


                                                    Three Months Ended
                                                        March 31,
                                           -------------------------------------
                                                1999                   1998
                                           -------------         ---------------
Production:
    Oil (MBbls).............                      830                       638
    Gas (MMcf)..............                    9,918                     7,310
    Oil and gas (MMcfe).....                   14,898                    11,138

Sales data (in thousands) (a):
    Total oil sales.........                   $9,804                   $10,285
    Total gas sales.........                   20,686                    18,072

Average sales prices (a):
    Oil (per Bbl)............                  $11.81                    $16.12
    Gas (per Mcf)............                    2.09                      2.47
    Per Mcfe.................                    2.05                      2.55

Average costs (per Mcfe):
    Normal lease operating 
      expenses (b)...........                   $0.32                     $0.32
    Salaries, general 
      and administrative.....                    0.07                      0.10
    Depreciation, depletion 
      and amortization.......                    1.17                      1.35



    (a)  Net of the effects of hedging
    (b)  Excludes major maintenance expenses

         For the first quarter of 1999, the Company reported net income totaling
$1.7  million or $0.11 per share,  as  compared to net income  reported  for the
first quarter of 1998 of $3.3 million, or $0.22 per share.

         Production  volumes of oil and gas  during  the first  quarter of 1999,
compared  to  the  1998  quarter,  rose  30%  and  36%,  respectively,  totaling
approximately  830,000  barrels of oil and 9.9  billion  cubic feet of gas. On a
thousand cubic feet of gas  equivalent  (Mcfe) basis,  production  rates for the
first  quarter of 1999 were 34% higher than the  comparative  1998  period.  The
increase in  production  volumes from first  quarter  1998 levels was  primarily
attributable to the  commencement of production from the E Platform at the South
Pelto Block 23 Field in November 1998 and production  increases at the Vermilion
Block 255 and Clovelly Fields.

     First  quarter 1999 oil and gas revenues  increased  to $30.5  million,  as
compared to first  quarter  1998 oil and gas revenues of $28.4  million.  Prices
during the first quarter of 1999 averaged $11.81 per barrel of oil and $2.09 per
Mcf of gas,  as  compared  to  averages  of $16.12  per barrel and $2.47 per Mcf
received in the 1998 period.  Stated on a Mcfe basis, prices received during the
quarter ended March 31, 1999 were 20% lower than the prices  received during the
comparable 1998 period.  Both total and unit revenue amounts include the effects
of hedging transactions.

     Normal  operating  costs during the first quarter of 1999 increased to $4.8
million,  as compared to $3.6 million  during the 1998 period due to an increase
in the number of producing wells and higher production rates. However, on a unit
of production basis, first quarter 1999 operating costs were consistent with the
1998 quarter as costs totaled $0.32 per Mcfe during both quarterly periods.

          General and  administrative  expenses  totaled $1.1 million during the
first  quarter of 1999 and the first  quarter of 1998.  On a unit  basis,  these
costs  declined  30% during the 1999  quarter to $0.07 per Mcfe,  as compared to
$0.10 per Mcfe during the 1998 period. Depreciation,  depletion and amortization
("DD&A") expense on the  Company's  oil and gas  properties  increased  to $17.4
million for the first three  months of 1999,  compared to $15.0  million for the
1998  period  because of higher  production  rates and lower oil and gas prices.
However,  unit DD&A expense for 1999's first quarter  declined to $1.17 per Mcfe
versus  $1.35  per Mcfe  for the  comparable  1998  period.  As a result  of the
increase in the Company's outstanding borrowings under its bank credit facility,
interest expense during the first quarter of 1999 increased to $3.8 million,  as
compared to $2.5 million during the three month 1998 period.

LIQUIDITY AND CAPITAL RESOURCES

     WORKING CAPITAL AND CASH FLOW. During late-1998, due in part to the oil and
gas price  environment  at the  time,  the  Company  adjusted  its 1999  capital
expenditures  budget to enable  the  Company to finance  its 1999  drilling  and
development plans with cash flow from operations and available  borrowings under
its bank credit facility.  Based upon the Company's outlook for 1999 oil and gas
prices  and  production  rates,  the  Company  believes  that its cash flow from
operations,  combined  with the  available  borrowings  under  its  bank  credit
facility,  will be  sufficient  to fund its current  1999  capital  expenditures
budget.  Working capital at March 31, 1999 totaled $10.0 million.  Net cash flow
from operations before working capital changes for the first quarter of 1999 was
$20.4 million, compared to $20.3 million reported for the same period of 1998.

         Capital  expenditures  during the first  quarter of 1999 totaled  $23.0
million and primarily  consisted of exploration and development  expenditures at
the  Vermilion  Block 255,  Eugene Island Block 243 and Clovelly  Fields.  First
quarter 1999 capital  expenditures  included $1.4 million of capitalized general
and  administrative  costs.  These investments were financed by a combination of
cash flow from operations and borrowings under the Company's bank revolver.

         LONG-TERM  FINANCING.  In May  1999,  the  Company  and its bank  group
increased  the  borrowing  base under the  Company's  bank credit  facility from
$120.0 million to $127.5  million.  The borrowing base  limitation is based on a
borrowing  base amount  established  by the banks for the  Company's oil and gas
properties.  Interest under the Revolver is payable  quarterly and, at March 31,
1999, the weighted average interest rate of the facility was 6.3% per annum, the
total  outstanding  principal  balance was $111.0  million and letters of credit
totaling $7.5 million had been issued pursuant to the facility.

     The Company has a capital  expenditures budget of approximately $61 million
for the last  three  quarters  of 1999 for oil and gas  properties  it now owns.
Significant  investments  are planned at the Eugene Island 243,  Vermilion Block
255,  Vermilion  Block 131 and Lake  Hermitage  Fields.  The planned  activities
include  projects  which seek to  increase  cash flow from proved  reserves  and
provide  additions to the Company's  reserve base. It is anticipated  that these
investments will be funded from a combination of available working capital, cash
flow from operations and borrowings under the bank credit facility.

     The Company believes that the level of its 1999 capital expenditures budget
provides  flexibility  for the Company to  participate in  opportunities  on new
properties.  The  Company  is  currently  evaluating  a  significant  number  of
potential acquisitions, although no future acquisitions can be assured. One or a
combination  of certain of these possible  transactions  could fully utilize the
sources of capital currently  available to the Company.  If these  opportunities
materialize,  the  Company  intends  to  explore a variety of options to finance
these new projects.

         In attempting to maximize  stockholder value, the Company will continue
to contrast and compare the cost of debt financing  with the potential  dilution
of equity offerings. The Company's goal is to maintain a relatively low level of
debt because of the  volatility of oil and gas prices.  Although the Company has
no current  plans to access the public  markets for purposes of entering into an
underwritten  financing, it would consider such funding sources if the amount of
capital  needed  for  its  acquisition  and  development   activities  increased
significantly  or if total debt reached an unacceptable  level.  Availability of
these sources of capital and the Company's  ability to access new  opportunities
will depend  upon a number of  factors,  some of which are beyond the control of
the Company.

     YEAR  2000  COMPLIANCE.  The  Year  2000  ("Y2K")  issue is the  result  of
computerized  systems  being  written to store and process  the year  portion of
dates from and after January 1, 2000 without critical  systems  failure.  During
1998, the Company's  executive  management and Board of Directors  implemented a
program to identify, evaluate and address the Company's Y2K risks to ensure that
its  Information  Technology  ("IT")  Systems  and  Non-IT  Systems  will be Y2K
compliant.  The Company,  with the assistance of outside consultants,  completed
the  evaluation  of its IT Systems for Y2K  compliance  and began  replacing  or
modifying  non-compliant  systems  during the first quarter of 1999. The Company
expects  to have all  non-compliant  IT  Systems  replaced  or  modified  to Y2K
compliant systems by the end of the second quarter of 1999.

     Regarding the Company's Non-IT Systems,  which primarily consist of systems
with embedded technology,  the Company has completed its preliminary  assessment
of all date-sensitive  components.  Based upon this assessment,  the Company has
determined  that  there  will be  minimal  modification  required  to become Y2K
compliant.  The Company  expects to have replaced or modified all  non-compliant
Non-IT  Systems by the end of the second  quarter of 1999.  Costs incurred as of
March 31, 1999, and estimated  remaining  costs related to Y2K compliance  total
approximately  $15,000.  In addition to the expensed Y2K compliance  costs,  the
Company  capitalized  a total of $0.8  million  of  costs  related  to  computer
hardware and software  upgrades  during the fourth quarter of 1998 and the first
quarter of 1999.  The upgrades were necessary due to the growth in the Company's
number  of  employees  and  level of  operations  over the past 24  months.  All
upgrades  were Y2K  compliant.The  Company does not  separately  track  internal
payroll costs incurred for employees involved in the Y2K compliance effort.

        Based on preliminary  risk  assessments,  the Company  believes the most
likely Y2K related failure would be a temporary  disruption in certain materials
and services  provided by third  parties,  which would not be expected to have a
material  adverse  effect on the  Company's  financial  condition  or results of
operations.  As part of its  assessment  of the Y2K risk  associated  with third
parties' systems, the Company has contacted its material suppliers and customers
to determine their level of Y2K compliance.  The Company expects to complete its
assessment by the end of the second quarter of 1999.  While the Company believes
that the  probability  of the occurance of a disruption is low, the Company will
develop  specific  contingency  plans to address  certain risk areas, as needed.
There can be no  assurance  that the Company  will not be  materially  adversely
affected by Y2K problems or related costs.

         FORWARD-LOOKING STATEMENTS. Certain of the statements in this Form 10-Q
are  "forward-looking  statements"  within the  meaning  of  Section  27A of the
Securities  Act and  Section  21E of the  Securities  Exchange  Act of 1934,  as
amended (the "Exchange Act"). All statements other than statements of historical
facts  included  in this Form 10-Q,  regarding  budgeted  capital  expenditures,
increases in oil and gas  production,  the  Company's  financial  position,  the
assessment of the Company's Year 2000  compliance,  business  strategy and other
plans and  objectives for future  operations,  are  forward-looking  statements.
Although  the  Company  believes  that  the   expectations   reflected  in  such
forward-looking  statements are  reasonable,  it can give no assurance that such
expectations will prove to have been correct. Important factors that could cause
actual results to differ materially from those in the forward-looking statements
herein include the timing and extent of changes in commodity  prices for oil and
gas,  operating  risks and other factors as disclosed  under "Risk  Factors" and
elsewhere  in the  Company's  1998 Annual  Report on Form 10-K as filed with the
Securities  and  Exchange  Commission.  Should  one or more of  these  risks  or
uncertainties  occur, or should  underlying  assumptions  prove  incorrect,  the
Company's  actual results and plans for 1999 and beyond could differ  materially
from those expressed in forward-looking  statements.  All subsequent written and
oral forward-looking statements attributable to the Company or persons acting on
its behalf are expressly qualified in their entirety by such factors.

                                     PART II

ITEM 5.  OTHER INFORMATION

         The  following  is  a  summary  of  certain  of  the  Company's  recent
activities:

     On May 4, 1999, the Company announced that during April 1999, its estimated
net average daily production rates were  approximately 107 million cubic feet of
gas and 8,700 barrels of oil, and that it realized  sales prices which  averaged
approximately  $2.07 per Mcf of gas and  $15.91  per  barrel of oil.  The prices
include the effects of hedging contracts. In addition, the Company reported that
it has a 1999 capital  expenditures  budget of $84.1  million for  properties it
owns and that through  April 1999, it had completed  seven  drilling  operations
resulting in six successful wells and one dry hole with two wells in progress.

ITEM 6.  EXHIBITS AND REPORTS ON FORM 8-K

           (a)      Exhibit 10.1- Amendment and Restatement No. 2 of the Third 
                    Amended and Restated Credit Agreement between the 
                    Registrant, the financial institutions named therein and 
                    NationsBank, N.A., as Agent, dated as of May 3, 1999.

           (b)      Exhibit 27.1- Financial Data Schedule

           (c)      There were no reports on Form 8-K filed for the three months
                    ended March 31, 1999.                                     







                                    SIGNATURE

         Pursuant to the  requirements  of the Securities  Exchange Act of 1934,
the  registrant  has duly  caused  this report to be signed on its behalf by the
undersigned thereunto duly authorized.

                                            STONE ENERGY CORPORATION


Date: May 13, 1999                        By:  /s/ Michael L. Finch          
                                              -----------------------
                                                   Michael L. Finch  
                                             Executive Vice President and
                                                 Chief Financial Officer
                                             (Authorized Officer and Principal
                                                   Financial Officer)