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, 1997

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

Balance Sheets - September 30, 1997 and December 31, 1996.

Statements of Operations for the Nine and Three Months Ended September 30,
1997 and 1996.

Statements of Changes in Partners' Equity for the Nine and Three Months
Ended September 30, 1997 and 1996.

Statements of Cash Flows for the Nine Months Ended September 30, 1997 and
1996.

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, 1997,
the General Partners have distributed $1,685,570 or 18.25 % of
original Limited Partner capital contributions to the Limited
Partners.
 The net proved oil and gas reserves of the Partnership are considered
to  be  a  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,
1996  was  approximately   $986,500  as compared to  $689,100   as  of
December 31, 1995. The increase  in total estimated discounted  future
net  revenue  was primarily due to higher year end gas  prices  as  of
December 31, 1996 compared  to the gas price  in effect as of December
31,  1995.   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

<PAGE>

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 -

Overall operating revenues increased from $176,337 in 1996 to $252,579
in 1997 . The Partnership's gas production increased, from 65,136 MCF
in 1996 to 66,189 MCF in 1997,  while its oil production remained
relatively unchanged, from 1,939 BBls in 1996 to 2,026 BBLS in 1997.
The Partnership's overall revenue increase was helped substantially by
the production increases and positive price changes in  both the
average price per MCF, increase of $0.75 per MCF, and an increase of
$0.84 in the average price  received  per barrel of oil.

Production expenses in 1996, of $89,807, were lower than 1997's
expenses of $ 120,744. Production expenses may be variable in nature,
vary with production volumes, or more typically the expenses are for
the general upkeep and maintenance of the wells and well sites.  The
Partnership experienced increases in both the variable expenses as
well in the overall normal maintenance of well and well sites in 1997.

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 1997 and 1996 are substantially less than the amounts
allocable  to  the  Registrant under the Partnership  Agreement.   The
lower   allocable amounts 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  1996 or in the three quarters of 1997. Although  the  1997
expense  is slightly higher than 1996 amount, the expense recorded  is
consistent  with  the  current basis of the Partnership's  properties,
including  additional capital cost associated with workovers performed
in late 1995, 1996 and early 1997.




<PAGE>

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>
                          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

 November 12,  1997           BY: /s/Charles E. Drimal Jr.
 (DATE)                       ------------------------------
                              Charles E. Drimal, Jr.
                              General Partner


<PAGE>
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                       Balance Sheets
                              
                                      September 30,      December
                                          1997           31, 1996
                                       (unaudited)      (audited)
Assets                                                             
Current Assets:                                                    
  Cash and cash equivalents        $         21,313 $        20,620
  Due From Affiliates                             0           4,382
                                        -----------     -----------
      Total current assets                   21,313          25,002
                                                                   
Oil and Gas properties -                                           
successful efforts method:                                         
 Leasehold costs                            323,260         323,260
 Well and related facilities              7,658,354       7,580,739
  less accumulated depreciation,                                   
 depletion and amortization              (6,944,081)     (6,905,167)
                                        -----------     -----------
                                          1,037,533         998,832
                                        -----------     -----------
       Total assets                $      1,058,846 $     1,023,834
                                         ==========     ===========
                                                             
Liabilities & Partners' Equity                                     
 Current Liabilities:                                              
   Due to affiliates               $         28,678 $             0
                                        -----------     -----------
   Total liabilities                         28,678               0
                                        -----------     -----------
 Partners' Equity                                                  
   Limited partners                       1,041,660       1,043,772
   General partners                         (11,492)        (19,938)
                                        -----------     -----------
         Total partners' equity    $      1,030,168 $     1,023,834
                                        -----------     -----------
         Total Liabilities &                                       
          Partner's Equity         $      1,058,846 $     1,023,834
                                         ==========     ===========
                                                                   
                                                                   
                                                                           
See accompanying note to financial statements


<PAGE>
                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 financial statements
                              
<PAGE>
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Nine Months Ended
                                   September 30, 1996

                               Limited     General      
                               Partners    Partners     Total
Revenue:                                                
Operating revenue           $    139,306      37,031 $    176,337
Interest income                      252          16          268
                                --------    --------      -------
  Total Revenue                  139,558      37,047      176,605
                                --------    --------      -------
                                                                 
Costs and Expenses:                                              
Production expense                70,948      18,859       89,807
General and administrative        29,627       7,876       37,503
 to a related party
General and administrative        13,214       3,513       16,727
Depreciation, depletion                                          
 and amortization                 35,195       2,247       37,442
                                --------    --------      -------
  Total Costs and Expenses       148,984      32,495      181,479
                                --------    --------      -------
  Net Income (loss)          $    (9,426)      4,552  $    (4,874)
                                ========    ========      =======
Net Income(loss)                                        
    per equity unit         $      (1.02)                
                                  ======                
                              
See accompanying note to financial statements
      

                        
<PAGE>
                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 financial statements
                              
                              
<PAGE>
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Operations
                         (unaudited)
                              
                                   Three Months Ended
                                   September 30, 1996

                                 Limited      General     
                                 Partners     Partners    Total
Revenue:                                                  
Operating revenue              $    41,626      11,066 $    52,692
Interest income                        135           9         144
                                  --------    --------    --------
  Total Revenue                     41,761      11,075      52,836
                                  --------    --------    --------
                                                                  
Costs and Expenses:                                               
Production expense                  23,513       6,250      29,763
General and administrative           9,875       2,626      12,501
 to a related party
General and administrative           3,704         985       4,689
Depreciation, depletion                                           
 and amortization                   11,828         756      12,584
                                  --------    --------    --------
  Total Costs and Expenses          48,920      10,617      59,537
                                  --------    --------    --------
  Net Income (loss)             $   (7,159)        458 $    (6,701)
                                  ========    ========    ========
Net Income(loss)                                                  
     per equity unit            $     (.77)
                                  ========                        
                              
                              
See accompanying note to financial statements




<PAGE>
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
          Statement of Changes in Partners' Equity
                         (unaudited)
                              
                                   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
                               =========    ========     ==========
                                            
                                            
                                   Nine Months Ended
                                   September 30, 1996

                              Limited      General      
                              Partners     Partners     Total
                                                        
Balance at beginning of                                           
period                      $  1,080,167     (20,084) $  1,060,083
  Partners' Contribution               0         162           162
  Cash Distributions             (23,090)     (6,005)      (29,095)
  Net Income(Loss)                (9,426)      4,552        (4,874)
                               ---------    --------    ----------
Balance at end of period    $  1,047,651     (21,375) $  1,026,276
                               =========    ========    ==========
                              
                              
                              
                              
                              
See accompanying note to financial statements

                              
<PAGE>
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
          Statement of Changes in Partners' Equity
                         (unaudited)
                              
                                   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                          1,431       2,804         4,235
                                  ---------    --------     ---------
Balance at end of period     $    1,041,660     (11,492)  $ 1,030,168
                                  =========    ========     =========
                                            
                                            
                                   Three Months Ended
                                   September 30, 1996

                              Limited        General     
                              Partners       Partners    Total
                                                         
Balance at beginning of                                            
period                      $   1,054,810     (21,995)  $ 1,032,815
  Partners' Contribution                0         162           162
  Cash Distributions                    0           0             0
  Net Income(Loss)                 (7,159)        458        (6,701)
                                ---------    --------     ---------
Balance at end of period    $   1,047,651     (21,375)  $ 1,026,276
                                =========    ========     =========

                              
                              
                              
See accompanying note to financial statements
                              
                              
<PAGE>
                              
                STERLING DRILLING FUND 1984-1
              (a New York Limited Partnership)
                   Statement of Cash Flows
                         (unaudited)
                              
                                         Nine months    Nine months
                                            ended          ended
                                          September      September
                                           30, 1997       30, 1996
                                                        
Net cash provided by operating                                      
activities                             $      105,646 $       54,063
                                           ----------     ----------
Cash flows from financing activities:                               
  Partners' contributions                       1,741            162
  Distribution to partners                    (29,079)       (29,095)
                                           -----------    -----------
Net cash (used in)financing activities        (27,338)       (28,933)
                                          -----------    -----------
Cash flows from investing activities:                               
  Investment in wells and related                                   
  facilities                                  (77,615)       (11,838)
                                           ----------     ----------
Net cash (used in)investing activities        (77,615)       (11,838)
                                          -----------    -----------
                                                                    
Net increase in cash and cash                                       
  equivalents                                     693         13,292
Cash and cash equivalents at                                        
  beginning of period                          20,620          1,401
                                          -----------    -----------
Cash and cash equivalents at end of                                 
period                                 $       21,313 $       14,693
                                          ===========    ===========
                                                        

see accompanying note to financial statements

<PAGE>
                STERLING DRILLING FUND 1984-1
              (a New York limited partnership)
                              
                Note to Financial Statements
                              
                     September 30, 1997



1. The accompanying statements for the period ending
September 30, 1997, are unaudited but reflect all
adjustments necessary to present fairly the results of
operations.