UNITED STATES
                       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 June 30, 1998
                                       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 No. 2-90417


                           PARKER & PARSLEY 84-A, LTD.
             (Exact name of Registrant as specified in its charter)

                Texas                                       75-1974814
    (State or other jurisdiction of                      (I.R.S. Employer
     incorporation or organization)                   Identification Number)


303 West Wall, Suite 101, Midland, Texas                       79701
(Address of principal executive offices)                     (Zip code)

       Registrant's Telephone Number, including area code : (915) 683-4768

                                 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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                           PARKER & PARSLEY 84-A, LTD.

                                TABLE OF CONTENTS


                                                                         Page
                          Part I. Financial Information

Item 1.     Financial Statements

            Balance Sheets as of June 30, 1998 and
               December 31, 1997.......................................    3

            Statements of Operations for the three and six
              months ended June 30, 1998 and 1997......................    4

            Statement of Partners' Capital for the six months
              ended June 30, 1998......................................    5

            Statements of Cash Flows for the six months
              ended June 30, 1998 and 1997.............................    6

            Notes to Financial Statements..............................    7

Item 2.     Management's Discussion and Analysis of Financial
              Condition and Results of Operations......................    7


                           Part II. Other Information

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

            27.1   Financial Data Schedule

            Signatures.................................................   12




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                           PARKER & PARSLEY 84-A, LTD.
                          (A Texas Limited Partnership)

                          Part I. Financial Information

Item 1.   Financial Statements

                                 BALANCE SHEETS
                                                     June 30,      December 31,
                                                       1998            1997
                                                   ------------    ------------
                                                    (Unaudited)
                      ASSETS
Current assets:
  Cash and cash equivalents, including interest
     bearing deposits of $150,089 at June 30
     and $159,195 at December 31                   $    150,590    $    159,695
   Accounts receivable - oil and gas sales              155,650         225,232
                                                    -----------     -----------
           Total current assets                         306,240         384,927
                                                    -----------     -----------
Oil and gas properties - at cost, based on the
  successful efforts accounting method               18,226,732      18,223,253
Accumulated depletion                               (15,113,965)    (14,950,537)
                                                    -----------     -----------
     Net oil and gas properties                       3,112,767       3,272,716
                                                    -----------     -----------
                                                   $  3,419,007    $  3,657,643
                                                    ===========     ===========
LIABILITIES AND PARTNERS' CAPITAL

Current liabilities:
  Accounts payable - affiliate                     $     53,433    $     41,183

Partners' capital:
  General partners                                      355,797         395,245
  Limited partners (19,435 interests)                 3,009,777       3,221,215
                                                    -----------     -----------
                                                      3,365,574       3,616,460
                                                    -----------     -----------
                                                   $  3,419,007    $  3,657,643
                                                    ===========     ===========

   The financial information included as of June 30, 1998 has been prepared by
          management without audit by independent public accountants.

   The accompanying notes are an integral part of these financial statements.

                                        3

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                           PARKER & PARSLEY 84-A, LTD.
                          (A Texas Limited Partnership)

                            STATEMENTS OF OPERATIONS
                                   (Unaudited)


                                    Three months ended     Six months ended
                                          June 30,                June 30,
                                  ---------------------   ---------------------
                                     1998        1997        1998        1997
                                  ---------   ---------   ---------   ---------
Revenues:
  Oil and gas                     $ 303,364   $ 405,039   $ 594,203   $ 864,492
  Interest                            2,457       3,353       5,098       6,281
  Gain on disposition of assets       2,100       3,072       2,100       3,072
                                   --------    --------    --------    --------
                                    307,921     411,464     601,401     873,845
                                   --------    --------    --------    --------
Costs and expenses:
  Oil and gas production            228,371     211,953     445,105     439,628
  General and administrative         10,209      13,137      19,165      28,435
  Depletion                          88,899      81,427     163,428     160,439
                                   --------    --------    --------    --------
                                    327,479     306,517     627,698     628,502
                                   --------    --------    --------    --------
Net income (loss)                 $ (19,558)  $ 104,947   $ (26,297)  $ 245,343
                                   ========    ========    ========    ========
Allocation of net income (loss):
  General partners                $   8,401   $  38,213   $  17,960   $  85,566
                                   ========    ========    ========    ========
  Limited partners                $ (27,959)  $  66,734   $ (44,257)  $ 159,777
                                   ========    ========    ========    ========
Net income (loss) per limited
  partnership interest            $   (1.44)  $    3.43   $   (2.28)  $    8.22
                                   ========    ========    ========    ========
Distributions per limited
   partnership interest           $    2.74   $    8.00   $    8.60   $   18.20
                                   ========    ========    ========    ========

         The financial information included herein has been prepared by
           management without audit by independent public accountants.

   The accompanying notes are an integral part of these financial statements.

                                        4

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                           PARKER & PARSLEY 84-A, LTD.
                          (A Texas Limited Partnership)

                         STATEMENT OF PARTNERS' CAPITAL
                                   (Unaudited)




                                      General        Limited
                                      partners       partners        Total
                                     ----------     ----------     ----------

Balance at January 1, 1998           $  395,245     $3,221,215     $3,616,460

    Distributions                       (57,408)      (167,181)      (224,589)

    Net income (loss)                    17,960        (44,257)       (26,297)
                                      ---------      ---------      ---------

Balance at June 30, 1998             $  355,797     $3,009,777     $3,365,574
                                      =========      =========      =========



         The financial information included herein has been prepared by
           management without audit by independent public accountants.

   The accompanying notes are an integral part of these financial statements.

                                        5

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                           PARKER & PARSLEY 84-A, LTD.
                          (A Texas Limited Partnership)

                            STATEMENTS OF CASH FLOWS
                                   (Unaudited)

                                                          Six months ended
                                                               June 30,
                                                       ------------------------
                                                          1998          1997
                                                       ----------    ----------
Cash flows from operating activities:
  Net income (loss)                                    $  (26,297)   $  245,343
  Adjustments to reconcile net income (loss) to
     net cash provided by operating activities:
       Depletion                                          163,428       160,439
       Gain on disposition of assets                       (2,100)       (3,072)
  Changes in assets and liabilities:
     Accounts receivable                                   69,582       111,748
     Accounts payable                                      12,250         9,381
                                                        ---------     ---------
          Net cash provided by operating activities       216,863       523,839
                                                        ---------     ---------
Cash flows from investing activities:
  Additions to oil and gas properties                      (3,479)       (6,210)
  Proceeds from asset dispositions                          2,100         3,072
                                                        ---------     ---------
          Net cash used in investing activities            (1,379)       (3,138)
                                                        ---------     ---------
Cash flows from financing activities:
  Cash distributions to partners                         (224,589)     (479,175)
                                                        ---------     ---------
Net increase (decrease) in cash and cash equivalents       (9,105)       41,526
Cash and cash equivalents at beginning of period          159,695       162,473
                                                        ---------     ---------
Cash and cash equivalents at end of period             $  150,590    $  203,999
                                                        =========     =========

         The financial information included herein has been prepared by
           management without audit by independent public accountants.

   The accompanying notes are an integral part of these financial statements.

                                        6

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                           PARKER & PARSLEY 84-A, LTD.
                          (A Texas Limited Partnership)

                          NOTES TO FINANCIAL STATEMENTS
                                  June 30, 1998
                                   (Unaudited)


Note 1.     Organization and nature of operations

Parker & Parsley  84-A,  Ltd.  (the  "Partnership")  is  a  limited  partnership
organized in 1984 under the laws of the State of Texas.

The Partnership  engages  primarily in oil and gas development and production in
Texas and is not involved in any industry segment other than oil and gas.

Note 2.     Basis of presentation

In  the  opinion  of  management,  the  unaudited  financial  statements  of the
Partnership  as of June 30, 1998 and for the three and six months ended June 30,
1998 and 1997 include all  adjustments  and accruals  consisting  only of normal
recurring accrual adjustments which are necessary for a fair presentation of the
results for the  interim  period.  These  interim  results  are not  necessarily
indicative of results for a full year.

Certain  information  and  footnote  disclosure  normally  included in financial
statements prepared in accordance with generally accepted accounting  principles
have been  condensed  or  omitted  in this Form 10-Q  pursuant  to the rules and
regulations of the Securities and Exchange Commission.  The financial statements
should  be read in  conjunction  with the  financial  statements  and the  notes
thereto  contained in the  Partnership's  Report on Form 10-K for the year ended
December 31, 1997, as filed with the Securities and Exchange Commission,  a copy
of which is available upon request by writing to Rich Dealy,  Vice President and
Chief Accounting Officer,  5205 North O'Connor  Boulevard,  1400 Williams Square
West, Irving, Texas 75039-3746.

Item 2.     Management's Discussion and Analysis of Financial Condition
              and Results of Operations (1)

Results of Operations

Six months ended June 30, 1998 compared with six months ended
  June 30, 1997

Revenues:

The Partnership's  oil and gas revenues  decreased 31% to $594,203 from $864,492
for the six months ended June 30, 1998 and 1997,  respectively.  The decrease in
revenues  resulted from lower average prices received,  offset by an increase in
production.  For the six months  ended  June 30,  1998,  28,194  barrels of oil,
15,777 barrels of natural gas liquids  ("NGLs") and 67,759 mcf of gas were sold,

                                        7

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or 55,264 barrel of oil equivalents ("BOEs").  For the six months ended June 30,
1997, 29,876 barrels of oil and 119,663 mcf of gas were sold, or 49,820 BOEs.

As of September 30, 1997, the Partnership began accounting for processed natural
gas   production  as  processed   natural  gas  liquids  and  dry  residue  gas.
Consequently,  separate  product volumes will not be comparable to periods prior
to September 30, 1997.  Also,  prices for gas products will not be comparable as
the price per mcf for  natural  gas for the three and six months  ended June 30,
1998 is the price received for dry residue gas and the price per mcf for natural
gas for the  three and six  months  ended  June 30,  1997 is a price for wet gas
(i.e., natural gas liquids combined with dry residue gas).

The average  price  received per barrel of oil  decreased  $6.01,  or 30%,  from
$20.23 for the six months  ended June 30,  1997 to $14.22 for the same period in
1998.  The average price received per barrel of NGLs during the six months ended
June 30, 1998 was $6.55. The average price received per mcf of gas decreased 39%
from  $2.17  during the six months  ended  June 30,  1997 to $1.33 in 1998.  The
market price for oil and gas has been extremely volatile in the past decade, and
management expects a certain amount of volatility to continue in the foreseeable
future.  The Partnership may therefore sell its future oil and gas production at
average  prices lower or higher than that  received  during the six months ended
June 30, 1998.

During  most of 1997,  the  Partnership  benefitted  from  higher  oil prices as
compared to previous  years.  However,  during the fourth  quarter of 1997,  oil
prices began a downward  trend that has  continued  into 1998. On July 29, 1998,
the market  price for West Texas  intermediate  crude was $11.58 per  barrel.  A
continuation of the oil price environment  experienced  during the first half of
1998 will have an adverse  effect on the  Partnership's  revenues and  operating
cash flow and could result in additional  decreases in the carrying value of the
Partnership's oil and gas properties.

A gain on  disposition  of assets of $2,100 was  received  during the six months
ended  June 30,  1998 from the sale of  equipment  on one fully  depleted  well.
During the six months ended June 30, 1997,  $3,072 was received  from  equipment
disposals on one saltwater disposal well.

Costs and Expenses:

Total costs and expenses decreased to $627,698 for the six months ended June 30,
1998 as compared to  $628,502  for the same period in 1997,  a decrease of $804.
This  decrease  was due to a decline  in  general  and  administrative  expenses
("G&A"), offset by increases in production costs and depletion.

Production  costs  were  $445,105  for the six months  ended  June 30,  1998 and
$439,628  for the  same  period  in 1997  resulting  in a $5,477  increase.  The
increase was primarily due to additional well  maintenance  costs incurred in an
effort to stimulate well production, offset by a decline in production taxes.

                                        8

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G&A's  components are independent  accounting and engineering  fees and managing
general  partner  personnel  and  operating  costs.   During  this  period,  G&A
decreased, in aggregate, 33% from $28,435 for the six months ended June 30, 1997
to $19,165 for the same period in 1998.

Depletion  was  $163,428  for the six months  ended June 30,  1998  compared  to
$160,439 for the same period in 1997. This  represented an increase in depletion
of $2,989.  This  increase  was  primarily  attributable  to a  decrease  in oil
reserves  during  the six  months  ended  June  30,  1998 as a  result  of lower
commodity  prices,  offset by a reduction in oil production of 1,682 barrels for
the period ended June 30, 1998 compared to the same period in 1997.

Three months ended June 30, 1998 compared with three months ended
  June 30, 1997

Revenues:

The Partnership's  oil and gas revenues  decreased 25% to $303,364 from $405,039
for the three months ended June 30, 1998 and 1997, respectively. The decrease in
revenues  resulted from lower average prices received,  offset by an increase in
production.  For the three months ended June 30,  1998,  14,252  barrels of oil,
8,704 barrels of NGLs and 34,836 mcf of gas were sold,  or 28,762 BOEs.  For the
three months ended June 30,  1997,  14,733  barrels of oil and 63,916 mcf of gas
were sold, or 25,386 BOEs.

The average  price  received per barrel of oil  decreased  $4.95,  or 26%,  from
$18.74 for the three  months  ended June 30, 1997 to $13.79 for the three months
ended June 30, 1998.  The average  price  received per barrel of NGLs during the
three months ended June 30, 1998 was $6.82.  The average price  received per mcf
of gas  decreased  33% to $1.36 for the three  months  ended June 30,  1998 from
$2.02 in 1997.

A gain on disposition  of assets of $2,100 was received  during the three months
ended  June 30,  1998 from the sale of  equipment  on one fully  depleted  well.
During the three months ended June 30, 1997,  $3,072 was received from equipment
disposals on one saltwater disposal well.

Costs and Expenses:

Total costs and  expenses  increased to $327,479 for the three months ended June
30, 1998 as compared  to  $306,517  for the same period in 1997,  an increase of
$20,962,  or 7%. This  increase  was due to increases  in  production  costs and
depletion, offset by a decrease in G&A.

Production  costs were  $228,371  for the three  months  ended June 30, 1998 and
$211,953 for the same period in 1997 resulting in an increase of $16,418, or 8%.
The increase was due to additional well maintenance  costs incurred in an effort
to stimulate well production, offset by a decrease in production taxes.

G&A's  components are independent  accounting and engineering  fees and managing
general  partner  personnel  and  operating  costs.   During  this  period,  G&A

                                        9

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decreased,  in  aggregate,  22% from $13,137 for the three months ended June 30,
1997 to $10,209 for the same period in 1998.

Depletion  was $88,899  for the three  months  ended June 30,  1998  compared to
$81,427 for the same period in 1997.  This  represented an increase in depletion
of $7,472, or 9%. This increase was due to a decrease in oil reserves during the
three months ended June 30, 1998 as a result of lower commodity  prices,  offset
by a reduction  in oil  production  of 481 barrels for the period ended June 30,
1998 compared to the same period in 1997.

Liquidity and Capital Resources

Net Cash Provided by Operating Activities

Net cash  provided by operating  activities  decreased  $306,976  during the six
months  ended  June 30,  1998 from the same  period  ended June 30,  1997.  This
decrease  was due to a decline in oil and gas sales  receipts  and a decrease in
G&A expenses paid, offset by an increase in production costs paid.

Net Cash Used in Investing Activities

The  Partnership's  principal  investing  activities during the six months ended
June 30, 1998 and 1997  included  equipment  replacement  on various oil and gas
properties.

Proceeds from asset dispositions of $2,100, received during the six months ended
June 30, 1998,  were  derived  from the sale of equipment on one fully  depleted
well.  During the same period in 1997,  $3,072 was received from the disposal of
equipment on one saltwater disposal well.

Net Cash Used in Financing Activities

Cash  was   sufficient  for  the  six  months  ended  June  30,  1998  to  cover
distributions  to the partners of $224,589 of which $57,408 was  distributed  to
the general partners and $167,181 to the limited  partners.  For the same period
ended June 30, 1997,  cash was sufficient for  distributions  to the partners of
$479,175 of which $125,459 was distributed to the general  partners and $353,716
to the limited partners.

It is expected  that future net cash  provided by operating  activities  will be
sufficient for any capital expenditures and any distributions. As the production
from the properties declines, distributions are also expected to decrease.

Information systems for the year 2000

The managing general partner will be required to modify its information  systems
in order to  accurately  process  Partnership  data  referencing  the year 2000.
Because of the importance of occurrence  dates in the oil and gas industry,  the
consequences of not pursuing these  modifications  could be very  significant to
the Partnership's ability to manage and report operating activities.  Currently,

                                       10

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the managing general partner plans to contract with third parties to perform the
software  programming  changes  necessary to correct any existing  deficiencies.
Such  programming  changes are  anticipated  to be completed  and tested by June
1999. The managing  general  partner will allocate a portion of the costs of the
year 2000 programming  charges to the Partnership when they are incurred,  along
with recurring general and administrative  expenses.  Although the costs are not
estimable at this time, they should not be significant to the Partnership.

---------------

(1)    "Item 2. Management's  Discussion and Analysis of Financial Condition and
       Results of Operations"  contains forward looking  statements that involve
       risks and uncertainties. Accordingly, no assurances can be given that the
       actual  events and  results  will not be  materially  different  than the
       anticipated results described in the forward looking statements.



                           Part II. Other Information

Item 6.     Exhibits and Reports on Form 8-K

(a)    Exhibits

       27.1   Financial Data Schedule

(b)    Reports on Form 8-K - none


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                           PARKER & PARSLEY 84-A, LTD.
                          (A Texas Limited Partnership)



                               S I G N A T U R E S



      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.


                                         PARKER & PARSLEY 84-A, LTD.

                                   By:   Pioneer Natural Resources USA, Inc.,
                                          Managing General Partner





Dated:  August 3, 1998             By:    /s/ Rich Dealy
                                         ----------------------------------
                                         Rich Dealy, Vice President and
                                          Chief Accounting Officer




                                       12

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