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 September 30, 1998

                             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   / /



<PAGE> 1

Part I
Item 1.   Financial Statements
The following Financial Statements are filed herewith:

Balance Sheets - September 30, 1998 and December 31, 1997.

Statements of Operations for the Nine and Three Months Ended September 30,
1998 and 1997.

Statements of Changes in Partners' Equity for the Nine and Three Months
Ended September 30, 1998 and 1997.

Statements of Cash Flows for the Nine Months Ended September 30, 1998 and
1997.

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 among 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 Registrant competes  with  many  other
companies  having substantially greater financial and other resources.
In  accordance with the terms of the Prospectus, 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  or  for
the  conduct of the Partnership's business. As of September 30,  1998,
the  General  Partner's  have distributed $1,708,660  or  18.50  %  of
original   Limited  Partner  capital  contributions  to  the   Limited
Partners.

All  aspects  of  the Partnership's operations and administration  are
handled  through  the use of  the managing General Partner's  computer
systems.   Both  ,  the  operating company and  the  managing  General
Partner  are  taking steps to minimize any potential  computer  issues
with  regard to any necessary changes for the year 2000.   A  complete
system  upgrade, which includes but is not limited to, the  year  2000



<PAGE> 2

issue has been  implemented  by  both  the operating company  and  the
managing general partner. During the remainder of this year both companies
will continue  to  monitor, test and verify data in  detail  to  avoid  any
potential reporting concerns or delays.


 The net proved oil and gas reserves of the Partnership are considered
to  be  an 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,
1997  was  approximately   $974,200 as compared  to  $986,500   as  of
December  31,  1996.  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.

3.   Results of Operations -

The  Partnership's gas and oil production decreased, from  66,189  MCF
and  2,026  BBLS  in  1997 to 59,376 MCF and 1,552  BBLS  in  1998.The
Partnership's average price per MCF and per barrel declined from  1997
to  1998  about twenty cents per MCF and over six dollars per  barrel.
The  combination of both price and production declines resulted in  an
overall  operating revenue decrease from $252,579 in 1997 to  $215,630
in  1998.   Some  production declines could be directly attributed  to
compressor  down  times  accompanied by  high  pressure  in  the  main
transport lines.   The increased main line pressure reduces  the  ease
at  which  the  Partnership's  gas can flow  from  the  wells  to  the
transport lines.   These situations directly impact volumes  therefore
lowering  revenue but do not impact costs  unless significant  repairs
are  needed   to specific wells or Partnership owned transport  lines.
Overall  production  expenses in 1997, of $120,744  were  higher  than
1998's  expenses of $102,950.  The partnership expended funds  on  the
overall  normal maintenance of well and well sites in  both  1997  and
1998.


<PAGE> 3

General  and  administrative  expenses have  been  segregated  on  the
financial   statements  to  reflect  expenses  paid   to   PrimeEnergy
Management  Corporation(PEMC), a General Partner.  These 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 1997 are substantially less than the amounts
allocable  to  the  Registrant under the Partnership  Agreement.   The
lower amounts allocated and spent reflect management's effort to limit
costs, both incurred and allocated to the Registrant.


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. No additional depreciation, depletion or amortization  was
needed  in   1997  or  in  the three-quarters  of  1998.  The  expense
recorded, in both years, is consistent with the current basis  of  the
Partnership's properties.



PART II
Items 1 through 5 have been omitted in that each item is either
inapplicable or the answer is negative.Item .  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.


<PAGE> 4
                          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

November 12, 1998



<PAGE>5
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                       Balance Sheets
                              
                                      September 30,      December
                                          1998           31, 1997
                                       (unaudited)      (audited)
Assets                                                             
Current Assets:                                                    
  Cash and cash equivalents        $         36,610 $        26.270
  Due From Affiliates                         8,497               0
                                        -----------     -----------
      Total current assets                   45,107          26,270
                                                                   
Oil and Gas properties -                                           
successful efforts method:                                         
 Leasehold costs                            323,260         323,260
 Well and related facilities              7,658,884       7,658,354
  less accumulated depreciation,                                    
depletion and amortization               (6,995,755)     (6,958,043)
                                        -----------     -----------
                                            986,389       1,023,571
                                        -----------     -----------
       Total assets                $      1,031,496 $     1,049,841
                                         ==========     ===========
                                                             
Liabilities & Partners' Equity                                     
 Current Liabilities:                                              
   Due to affiliates               $              0 $         7,441
                                        -----------     -----------
   Total liabilities                              0           7,441
                                        -----------     -----------
 Partners' Equity                                                  
   Limited partners                       1,032,849       1,049,271
   General partners                          (1,353)         (6,871)
                                        -----------     -----------
         Total partners' equity    $      1,031,496 $     1,042,400
                                        -----------     -----------
         Total Liabilities &                                       
          Partner's Equity         $      1,031,496 $     1,049,841
                                         ==========     ===========
                                                                   
                                                                   
                                                                           
See accompanying note to the financial statements


<PAGE> 6
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Nine Months Ended
                                   September 30, 1998

                               Limited     General      
                               Partners    Partners     Total
Revenue:                                                
Operating revenue           $    170,348      45,282 $    215,630
Interest income                      849          54          903
                                --------    --------      -------
  Total Revenue                  171,197      45,336      216,533
                                --------    --------      -------
                                                                 
Costs and Expenses:                                              
Production expense                81,331      21,619      102,950
General and administrative                                       
 to a related party               35,550       9,450       45,000
General and administrative        12,199       3,243       15,442
Depreciation, depletion                                          
 and amortization                 35,449       2,263       37,712
                                --------    --------      -------
  Total Costs and Expenses       164,529      36,575      201,104
                                --------    --------      -------
  Net Income                $      6,668       8,761  $    15,429
                                ========    ========      =======
Net Income per equity unit  $        .72                
                                  ======                
                              
See accompanying note to the financial statements


<PAGE> 7
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Nine Months Ended
                                   September 30, 1997

                               Limited     General      
                               Partners    Partners     Total
Revenue:                                                
                               
Operating revenue           $    199,537      53,042 $    252,579
Interest income                    1,346          86        1,432
                                --------    --------      -------
  Total Revenue                  200,883      53,128      254,011
                                --------    --------      -------
                                                                 
Costs and Expenses:                                              
Production expense                95,388      25,356      120,744
General and administrative                                       
 to a related party               35,550       9,450       45,000
General and administrative        12,388       3,293       15,681
Depreciation, depletion                                          
 and amortization                 36,579       2,335       38,914
                                --------    --------      -------
  Total Costs and Expenses       179,905      40,434      220,339
                                --------    --------      -------
  Net Income                $     20,978      12,694  $    33,672
                                ========    ========      =======
Net Income per equity unit  $       2.27                
                                  ======                
                              
See accompanying note to the financial statements
                              
                              
<PAGE> 8
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Three Months Ended
                                   September 30, 1998

                                 Limited      General     
                                 Partners     Partners    Total
Revenue:                                                  
Operating revenue              $    54,974      14,613 $    69,587
Interest income                        202          13         215
                                  --------    --------    --------
  Total Revenue                     55,176      14,626      69,802
                                  --------    --------    --------
                                                                  
Costs and Expenses:                                               
Production expense                  25,234       6,707      31,941
General and administrative                                        
 To a related party                 11,850       3,150      15,000
General and administrative           4,963       1,319       6,282
Depreciation, depletion                                           
 And amortization                   11,816         754      12,570
                                  --------    --------    --------
  Total Costs and Expenses          53,863      11,930      65,793
                                  --------    --------    --------
  Net Income                   $     1,313       2,696 $     4,009
                                  ========    ========    ========
Net Income per equity unit     $       .14                        
                                  ========                        
                              
                              
See accompanying note to the financial statements
                              
<PAGE> 9
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Three Months Ended
                                   September 30, 1997

                                 Limited      General     
                                 Partners     Partners    Total
Revenue:                                                  
Operating revenue              $    59,762      15,886 $    75,648
Interest income                        372          24         396
                                  --------    --------    --------
  Total Revenue                     60,134      15,910      76,044
                                  --------    --------    --------
                                                                  
Costs and Expenses:                                               
Production expense                  31,385       8,342      39,727
General and administrative                                        
 to a related party                 11,850       3,150      15,000
General and administrative           3,103         825       3,928
Depreciation, depletion                                           
 and amortization                   12,365         789      13,154
                                  --------    --------    --------
  Total Costs and Expenses          58,703      13,106      71,809
                                  --------    --------    --------
  Net Income                   $     1,431       2,804 $     4,235
                                  ========    ========    ========
Net Income per equity unit     $       .15                        
                                  ========                        
                              
                              
See accompanying note to the financial statements


<PAGE> 10
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
          Statement of Changes in Partners' Equity
                         (unaudited)
                              
                                   Nine Months Ended
                                   September 30, 1998


                               Limited      General      
                               Partners     Partners     Total
                                                         
Balance at beginning of                                               
period                      $  1,049,271        (6,871) $    1,042,400
  Partners' Contribution               0         2,586           2,586
  Cash Distributions             (23,090)       (5,829)        (28,919)
  Net Income                       6,668         8,761          15,429
                               ---------     --------       ----------
Balance at end of period    $  1,032,849       (1,353) $     1,031,496
                               =========     ========       ==========
                                            
                                            
                                   Nine Months Ended
                                   September 30, 1997

                              Limited        General        
                              Partners       Partners       Total
                                                            
Balance at beginning of                                                
period                      $  1,043,772       (19,938)  $    1,023,834
  Partners' Contribution               0         1,741            1,741
  Cash Distributions             (23,090)       (5,989)        (29,079)
  Net Income                      20,978        12,694           33,672
                               ---------      --------       ----------
Balance at end of period    $  1,041,660       (11,492)  $    1,030,168
                               =========      ========       ==========
                              
                              
                              
                              
                              
See accompanying note to the financial statements

                              
<PAGE> 11
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
          Statement of Changes in Partners' Equity
                         (unaudited)
                              
                                   Three Months Ended
                                   September 30, 1998


                               Limited        General       
                               Partners       Partners      Total
                                                            
Balance at beginning of                                              
period                       $    1,031,536     (5,093)  $  1,026,443
  Partners' Contribution                  0       1,044         1,044
  Cash Distributions                      0           0             0
  Net Income                          1,313       2,696         4,009
                                  ---------    --------     ---------
Balance at end of period     $    1,032,849     (1,353)  $  1,031,496
                                  =========    ========     =========
                                            
                                            
                                   Three Months Ended
                                   September 30, 1997

                              Limited        General     
                              Partners       Partners    Total
                                                         
Balance at beginning of                                            
period                      $   1,040,229    (15,833)  $  1,024,396
  Partners' Contribution                0       1,537         1,537
  Cash Distributions                    0           0             0
  Net Income(Loss)                  1,431       2,804         4,235
                                ---------    --------     ---------
Balance at end of period    $   1,041,660    (11,492)  $  1,030,168
                                =========    ========     =========

                              
                              
                              
See accompanying note to the financial statements
                              
                              
<PAGE> 12
                              
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Cash Flows
                         (unaudited)
                              
                                         Nine months    Nine months
                                            Ended          ended
                                          September      September
                                           30, 1998       30, 1997
                                                        
Net cash provided by operating                                      
activities                             $       37,203  $     105,646
                                           ----------     ----------
Cash flows from financing activities:                               
  Partners' contributions                       2,586          1,741
  Distribution to partners                    (28,919)       (29,079)
                                          -----------    -----------
Net cash (used in)financing activities        (26,333)       (27,338)
                                          -----------    -----------
Cash flows from investing activities:                               
  Investment in wells and related                                   
  facilities                                     (530)       (77,615)
                                           ----------     ----------
Net cash (used in)investing activities           (530)       (77,615)
                                          -----------    -----------
                                                                    
Net increase in cash and cash                                       
  equivalents                                  10,340            693
Cash and cash equivalents at                                        
  beginning of period                          26,270         20,620
                                          -----------    -----------
Cash and cash equivalents at end of                                 
period                                 $       36,610  $      21,313
                                          ===========    ===========
                                                        

see accompanying note to the financial statements

<PAGE> 13
                STERLING DRILLING FUND 1984-1
              (a New York limited partnership)
                              
                Note to Financial Statements
                              
                     September 30, 1998



1. The accompanying statements for the period ending
September 30, 1998, are unaudited but reflect all
adjustments necessary to present fairly the results of
operations.