<PAGE> 1
             SECURITIES AND EXCHANGE COMMISSION
                   Washington, D.C. 20549
                              
                          FORM 10-Q
                              
                              
/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 Ended ______________________

                    Commission File Number 0-13457

                Sterling Drilling Fund 1984-1
     (Exact name of registrant as specified in charter)

                          New York
      (State or other jurisdiction of incorporation or
                        organization)
                              
                         13-3234373
            (IRS employer identification number)

      One Landmark Square, Stamford, Connecticut  06901
    (Address and Zip Code of principal executive offices)

                       (203) 358-5700

    (Registrant's telephone number, including area code)

                       Not Applicable
   (Former name, former address and former fiscal year, if
                 changed since last report)

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   / /

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Part I

Item 1.   Financial Statements

The following Financial Statements are filed herewith:

Balance Sheets - March 31, 1999 and December 31, 1998.

Statements of Operations for the Three Months Ended March 31, 1999 and
1998.

Statements of Changes in Partners' Equity for the year ended December 31,
1998 and for the Three Months Ended March 31, 1999.

Statements of Cash Flows for the Three Months Ended March 31, 1999 and
1998.

Note to Financial Statements

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

     1.  Liquidity: The oil and gas industry is intensely  competitive
in all its phases. There is also competition between this industry and
other  industries  in  supplying  energy  and  fuel  requirements   of
industrial  and  residential consumers. It is  not  possible  for  the
Registrant to calculate its position in the industry as the Registrant
competes  with  many  other  companies  having  substantially  greater
financial  and other resources. In accordance with the  terms  of  the
Agreement  of  Limited  Partnership of the  Partnership,  the  General
Partners of the Registrant will make cash distributions of as much  of
the  Partnership cash credited to the capital accounts of the partners
as  the General Partners have determined is not necessary or desirable
for  the payment of any contingent debts, liabilities or expenses  for
the  conduct  of the Partnership business. As of March 31,  1999,  the
General  Partners  have distributed $1,708,660 or 18.50%  of  original
Limited Partner capital contributions, to the Limited Partners.
     
The  Year  2000  (Y2K)  issue  is  the definition  and  resolution  of
potential  problems  resulting from computer application  programs  or
imbedded  chip  instruction sets utilizing two-digits, as  opposed  to
four  digits,  to  define  a specific the year.  Such  date  sensitive
systems may be unable to properly interpret dates, which could cause a


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system  failure  or other computer errors, leading to  disruptions  in
operations. The Partnership relies on the Managing General Partner for
all   management  and  administrative  functions.  Consequently,   the
Partnership's exposure to the Y2K problems is determined by what  Year
2000 efforts have been undertaken by the Managing General Partner.

In  1997, the Managing General Partner developed a three-phase program
for  the  Y2K  information systems compliance. Phase I is to  identify
those  systems with which the Partnership has exposure to Y2K  issues.
Phase II is to remediate systems and replace equipment where required.
Phase  III, to be completed by mid-1999, is the final testing of  each
major  area  of  exposure to ensure compliance. The  Managing  General
Partner has identified four major areas determined to be critical  for
successful  Y2K  compliance: (1) financial  and  informational  system
applications,  (2)  communications  applications,  (3)  oil  and   gas
producing operations, and (4) third-party relationships.

The  Managing  General Partner, in accordance  with  Phase  I  of  the
program,  is  in the process of conducting an internal review  of  all
systems and contacting all software suppliers to determine major areas
of  exposure to Y2K issues. The Managing General Partner has completed
the  modifications to its core financial and reporting systems and  is
continuing  to test compliance in this area. These modifications  were
made  in  conjunction  with  an upgrade  of  the  financial  reporting
applications  provided  by  the Managing  General  Partner's  software
vendor. Conversion to the new system was completed during 1998. Due to
the  technology  advances  in  the communications  area  the  Managing
General  Partner has upgraded such equipment regularly over  the  past
three  years. Y2K compliance was a specification requirement  of  each
installation.  Consequently,  the  Managing  General  Partner  expects
exposure  in  this  area to be limited to third party  readiness.  The
Managing  General  Partner is in the process of identifying  areas  of
exposure  resulting from equipment used in its oil and  gas  producing
operations.   The  Managing  General  Partner  expects   to   complete
identification  of  critical systems by  June  1999  and  to  continue
remediation and testing throughout 1999. In the third-party area,  the
Managing  General Partner has received assurance from its  significant
service  suppliers that they intend to be Y2K compliant by  2000.  The
Managing  General Partner has implemented a program  to  request  Year
2000  certification or other assurance from other third parties during
1999.


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The Partnership recognizes that, notwithstanding the efforts described
above,  the Partnership could experience disruptions to its operations
or  administrative  functions, including  those  resulting  from  non-
compliant  systems utilized by unrelated third party governmental  and
business  entities. The Managing General Partner is in the process  of
developing   a  contingency  plan  in  order  to  mitigate   potential
disruption  to  business  operations.  The  Managing  General  Partner
expects  to  complete this contingency plan by the second  quarter  of
1999 but also expects to refine this plan throughout 1999.

Through  1998,  the Managing General Partner has handled  identifying,
remediating  and testing systems for Year 2000 compliance  within  the
scope  of  routine  upgrades  and systems  evaluations.  The  Managing
General  Partner  expects  to complete  the  review  of  oil  and  gas
operations  exposure in the same manner, without incurring substantial
additional costs. However, information resulting from the oil and  gas
operations  review  may indicate required expenditures  not  currently
contemplated by the Partnership.

The  net proved oil and gas reserves of the Partnership are considered
to  be a primary indicator of financial strength and future liquidity.
The  present  value of unescalated future net revenues  (S.E.C.  case)
associated  with such reserves, discounted at 10% as of  December  31,
1998,  was  approximately  $649,800, as compared  to  $974,200  as  of
December  31,  1997.  Overall reservoir engineering  is  a  subjective
process  of estimating underground accumulations of gas and  oil  that
can  not  be measured in an exact manner. The accuracy of any  reserve
estimate  is a function of the quality of available data  and  of  the
engineering  and geological interpretation and judgment.  Accordingly,
reserve estimates are generally different from the quantities  of  gas
and oil that are ultimately recovered and such differences may have  a
material  impact  on  the Partnership's financial results  and  future
liquidity.

2. Capital Resources -

The  Registrant was formed for the sole intention of drilling oil  and
gas  wells.  The Registrant entered into a drilling contract  with  an
independent contractor in October 1984 for $7,750,000.  Pursuant to
the  terms  of  this  contract thirty-two  wells  have  been  drilled,
resulting in thirty-two producing wells.

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3.   Results of Operations -

Operating revenues decreased from $71,894 in 1998 to $39,683 in  1999.
This  decline is related to declines in gas production, average  price
per MCF and declines in average price per BBL.   The Partnership's gas
production    and  average price per MCF changed from 20,188  MCF  and
$3.20  in  1998  to   16,958  MCF  and $2.70  in  1999.  Although  the
Parntership  receives most of its revenue from gas production  it  did
show a slight increase in its oil production  from 515 BBL in 1998  to
880  BBL in 1999. This increase in oil production was offset by  lower
average  prices  per  barrel in 1999 as compared to  1998.  Production
expenses  declined slightly from $35,037 in 1998 to $33,587  in  1999.
Variable costs associated with production  decreased, for example  the
related  well  taxes  which  are  based  upon  production  data.   The
Partnership   expended funds on typical and customary  well  and  well
site costs  during the first quarter 1999.

General  and administrative expenses  to a related party and to  third
parties  declined slightly from 1998 to 1999. Management continues  to
use in-house resources to provide efficient and timely services to the
partnership. The related party administrative expenses are charged  in
accordance  with  guidelines set forth in the Registrant's  Management
Agreement  and are attributable to the affairs and operations  of  the
Partnership and shall not exceed an annual amount equal to 5%  of  the
limited  partners capital contributions. Amounts related to both  1998
and  1999  are  substantially less than the amounts allocable  to  the
Registrant under the Partnership Agreement.

The   Partnership  records  additional  depreciation,  depletion   and
amortization  to  the  extent that net capitalized  costs  exceed  the
undiscounted  future net cash flows attributable  to  the  partnership
properties. The partnership was not required to revise the  properties
basis  in  either  1998  or  first  quarter  1999  due  to  additional
depletion. Depletion expense is reasonable, in both years, based  upon
the rates and property basis reported.

PART II
Items 1 through 5 have been omitted in that each item is either
inapplicable or the answer is negative.
Item 6:  Exhibits and Reports on Form 8-K
The Partnership was not required to file any reports on Form 8-K and
no such form was filed during the period covered by this report.

Exhibit 27 - Financial Data Schedule is attached to the electronic
filing of this report.

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                          S I G N A T U R E S
Pursuant to the requirements of Section 13 or 15(d) of the Securities
Exchange Act of 1934, Registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.


                             Sterling Drilling Fund 1984-1
                             BY: /S/ Charles E.Drimal, Jr.
                             ------------------------------
                             Charles E. Drimal, Jr.
                             General Partner
May 14, 1999
(date)


<PAGE> 7
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                       Balance Sheets
                         (unaudited)
                                     March 31,      December 31,
                                        1999            1998
Assets                                                           
Current Assets:                                                  
  Cash and cash equivalents      $     63,676       $    43,948
  Due from affiliates                       0            21,341
  Due from others                       2,417                 0
                                   -----------      -----------
      Total current assets             66,093           65,289
                                   -----------      ------------
                                                    
Oil and Gas properties -                            
successful efforts method:                          
  Leasehold costs                     323,260          323,260
  Well and related facilities       7,658,884        7,658,884
   less accumulated                                 
   depreciation, depletion and                      
   amortization                    (7,024,718)      (7,011,961)
                                   -----------      -----------
                                      957,426          970,183
                                   -----------      -----------
       Total assets              $  1,023,519      $ 1,035,472
                                   ============     ============
                                                    
Liabilities and Partner's Equity                    
  Current Liabilities                               
    Due to affiliates                   10,733                0
                                   -----------      -----------
       Total current liabilities        10,733                0
                                   -----------      -----------
 Partners' Equity                                   
   Limited partners              $   1,013,218      $ 1,033,627
   General partners                       (432)           1,845
                                   -----------      -----------
         Total partners' equity  $   1,012,786      $ 1,035,472
                                   -----------      -----------
                                                    
        Total Liabilities and                       
          Partner's Equity       $   1,023,519      $ 1,035,472
                                   ============     ============


See accompanying note to financial statements.
                              
                              
                              
<PAGE> 8
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Three Months Ended
                                     March 31, 1999

                               Limited     General      
                               Partners    Partners     Total
Revenue:                                                
Operating revenue            $    31,350       8,333  $     39,683
Interest income                      595          38           633
                                --------    --------     ---------
  Total Revenue                   31,945       8,371        40,316
                                --------    --------     ---------
                                                                  
Costs and Expenses:                                               
Production expense                26,534       7,053        33,587
General and administrative                                        
 to a related party               11,850       3,150        15,000
General and administrative         1,978         526         2,504
Depreciation, depletion                                           
 and amortization                 11,992         765        12,757
                                --------    --------     ---------
  Total Costs and Expenses        52,354      11,494        63,848
                                --------    --------     ---------
  Net Loss                   $  (20,409)     (3,123)  $   (23,532)
                                ========    ========     =========
Net Income per equity unit   $    (2.21)                          
                                ========                          



See accompanying note to financial statements.
                              
                              
                              
 <PAGE> 9
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Three Months Ended
                                     March 31, 1998

                               Limited     General      
                               Partners    Partners     Total
Revenue:                                                
Operating revenue            $    56,796      15,098  $     71,894
Interest income                      288          18           306
                                --------    --------     ---------
  Total Revenue                   57,084      15,116        72,200
                                --------    --------     ---------
                                                                  
Costs and Expenses:                                               
Production expense                27,679       7,358        35,037
General and administrative                                        
 to a related party               11,850       3,150        15,000
General and administrative         3,292         875         4,167
Depreciation, depletion                                           
 and amortization                 11,817         754        12,571
                                --------    --------     ---------
  Total Costs and Expenses        54,638      12,137        66,775
                                --------    --------     ---------
  Net Income                 $     2,446       2,979         5,425
                                ========    ========     =========
Net Income per equity unit   $      0.26                          
                                ========                          



See accompanying note to financial statements.

                              
<PAGE> 10
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
          Statement of Changes in Partners' Equity
                         (unaudited)
                              
                                            


                                 Limited      General        
                                 Partners     Partners       Total
                                                             
Balance at December 31, 1997  $  1,049,271  $    (6,871)  $  1,042,400
  Partners' contribution                 0         2,586         2,586
  Distribution to partners         (23,090)       (5,829)      (28,919)
  Net Income                         7,446        11,959        19,405
                                  --------      --------      --------
Balance at December 31, 1998  $  1,033,627  $      1,845  $  1,035,472
  Partners' contribution                 0           846           846
  Net Income                       (20,409)       (3,123)      (23,532)
                                  --------      --------      --------
Balance at March 31, 1999     $  1,013,218          (432)    1,012,786
                                  ========      ========      ========




See accompanying note to financial statements.
                              
                              
<PAGE> 11
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Cash Flows
                         (unaudited)
                              
                                            Three          Three          
                                           months          months
                                         ended March    ended March
                                          31, 1999        31, 1998
                                                                     
Net cash provided by operating                                                  
activities                            $       18,882  $        2,846
                                          ----------      ----------            
Cash flows from investing activities                                            
  Investment in wells and                                                       
  related facilities                               0           (530)            
                                          ----------      ----------            
Net cash used in investing activities              0           (530)            
                                          ----------      ----------            
                                                                                
Cash flows from financing activities                                            
  Partners' contribution                         846           1,542            
                                          ----------      ----------            
Net cash provided by financing                                                  
  activities                                     846           1,542
                                          ----------      ----------            
Net increase(decrease) in cash and                                              
  cash equivalents                            19,728           3,858
Cash and cash equivalents at                                                    
  beginning of period                         43,948          26,270
                                          ----------     -----------            
Cash and cash equivalents at end of                                             
period                                $       63,676  $       30,128
                                         ===========     ===========            
                                                                     

See accompanying note to financial statements.

<PAGE> 12
                              
                STERLING DRILLING FUND 1984-1
              (a New York limited partnership)
                              
                Note to Financial Statements
                              
                       March 31, 1999
                              
                              
                              
1. The accompanying statements for the period ending March
31, 1999 are unaudited but reflect all adjustments necessary
to present fairly the results of operations.