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


                                    FORM 10-Q

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

                  For the quarterly period ended June 30, 2000


                           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)


1400 Williams Square West, 5205 N. O'Connor Blvd., Irving, Texas      75039
----------------------------------------------------------------    ---------
           (Address of principal executive offices)                 (Zip code)

       Registrant's Telephone Number, including area code : (972) 444-9001


                                 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>



                           PARKER & PARSLEY 84-A, LTD.

                                TABLE OF CONTENTS


                                                                       Page

                          Part I. Financial Information

Item 1.    Financial Statements

           Balance Sheets as of June 30, 2000 and
              December 31, 1999......................................    3

           Statements of Operations for the three and six
             months ended June 30, 2000 and 1999.....................    4

           Statement of Partners' Capital for the six months
             ended June 30, 2000.....................................    5

           Statements of Cash Flows for the six months
             ended June 30, 2000 and 1999............................    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..........................   10

           27.1   Financial Data Schedule

           Signatures................................................   11


                                        2


<PAGE>



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

                          Part I. Financial Information

Item 1.     Financial Statements
<TABLE>

                                 BALANCE SHEETS

                                                   June 30,      December 31,
                                                     2000            1999
                                                 ------------    ------------
                                                 (Unaudited)
                      ASSETS
<S>                                              <C>             <C>
Current assets:
  Cash                                           $    177,621    $    117,140
  Accounts receivable - oil and gas sales             295,448         261,763
                                                  -----------     -----------
           Total current assets                       473,069         378,903
                                                  -----------     -----------
Oil and gas properties - at cost, based on the
  successful efforts accounting method             18,257,368      18,246,242
Accumulated depletion                             (16,340,923)    (16,282,110)
                                                  -----------     -----------
     Net oil and gas properties                     1,916,445       1,964,132
                                                  -----------     -----------
                                                 $  2,389,514    $  2,343,035
                                                  ===========     ===========

LIABILITIES AND PARTNERS' CAPITAL

Current liabilities:
  Accounts payable - affiliate                   $     60,244    $     37,409

Partners' capital:
  General partners                                    279,080         266,887
  Limited partners (19,435 interests)               2,050,190       2,038,739
                                                  -----------     -----------
                                                    2,329,270       2,305,626
                                                  -----------     -----------
                                                 $  2,389,514    $  2,343,035
                                                  ===========     ===========
</TABLE>



   The financial information included as of June 30, 2000 has been prepared by
  the managing general partner without audit by independent public accountants.

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

                                        3


<PAGE>



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

                            STATEMENTS OF OPERATIONS
                                   (Unaudited)

<TABLE>
                                  Three months ended       Six months ended
                                       June 30,                June 30,
                                ---------------------   ----------------------
                                   2000        1999        2000         1999
                                ---------   ---------   ----------   ---------
<S>                             <C>         <C>         <C>          <C>
Revenues:
  Oil and gas                   $ 549,309   $ 350,893   $1,082,369   $ 573,345
  Interest                          4,294       1,883        6,992       3,355
                                 --------    --------    ---------    --------
                                  553,603     352,776    1,089,361     576,700
                                 --------    --------    ---------    --------
Costs and expenses:
  Oil and gas production          245,145     205,328      464,779     401,324
  General and administrative       19,804      11,263       34,139      19,644
  Depletion                        25,167      34,992       58,813     110,953
                                 --------    --------    ---------    --------
                                  290,116     251,583      557,731     531,921
                                 --------    --------    ---------    --------
Net income                      $ 263,487   $ 101,193   $  531,630   $  44,779
                                 ========    ========    =========    ========
Allocation of net income:
  General partners              $  69,972   $  30,730   $  142,146   $  28,448
                                 ========    ========    =========    ========
  Limited partners              $ 193,515   $  70,463   $  389,484   $  16,331
                                 ========    ========    =========    ========
Net income per limited
  partnership interest          $    9.96   $    3.63   $    20.04   $     .84
                                 ========    ========    =========    ========
</TABLE>



         The financial information included herein has been prepared by
  the managing general partner without audit by independent public accountants.

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

                                        4


<PAGE>



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

                         STATEMENT OF PARTNERS' CAPITAL
                                   (Unaudited)



<TABLE>

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

<S>                                  <C>            <C>            <C>
Balance at January 1, 2000           $  266,887     $2,038,739     $2,305,626

    Distributions                      (129,953)      (378,033)      (507,986)

    Net income                          142,146        389,484        531,630
                                      ---------      ---------      ---------

Balance at June 30, 2000             $  279,080     $2,050,190     $2,329,270
                                      =========      =========      =========
</TABLE>





         The financial information included herein has been prepared by
  the managing general partner without audit by independent public accountants.

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

                                        5


<PAGE>



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

                            STATEMENTS OF CASH FLOWS
                                   (Unaudited)

<TABLE>
                                                        Six months ended
                                                            June 30,
                                                    -------------------------
                                                       2000          1999
                                                    ----------    -----------
<S>                                                 <C>           <C>
Cash flows from operating activities:
  Net income                                        $  531,630    $    44,779
  Adjustments to reconcile net income to net
     cash provided by operating activities:
       Depletion                                        58,813        110,953
  Changes in assets and liabilities:
     Accounts receivable                               (33,685)       (63,298)
     Accounts payable                                   22,835         21,173
                                                     ---------      ---------
          Net cash provided by operating
             activities                                579,593        113,607
                                                     ---------      ---------
Cash flows from investing activities:
  Additions to oil and gas properties                  (11,126)           -
  Proceeds from asset dispositions                         -              180
                                                     ---------      ---------
          Net cash provided by (used in)
             investing activities                      (11,126)           180
                                                     ---------      ---------
Cash flows used in financing activities:
  Cash distributions to partners                      (507,986)       (92,924)
                                                     ---------      ---------
Net increase in cash                                    60,481         20,863
Cash at beginning of period                            117,140        124,005
                                                     ---------      ---------
Cash at end of period                               $  177,621    $   144,868
                                                     =========     ==========
</TABLE>





         The financial information included herein has been prepared by
  the managing general partner without audit by independent public accountants.

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

                                        6


<PAGE>



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

                          NOTES TO FINANCIAL STATEMENTS
                                  June 30, 2000
                                   (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 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, 2000 and for the three and six months ended June 30,
2000 and 1999 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  reclassifications  may have been
made to the June 30, 1999  financial  statements to conform to the June 30, 2000
financial statement presentations.

Certain  information  and footnote  disclosures  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, 1999, 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, 2000 compared with six months ended June 30, 1999

Revenues:

The Partnership's  oil and gas revenues  increased 89% to $1,082,369 for the six
months  ended June 30, 2000 as compared to $573,345 for the same period in 1999.
The increase in revenues resulted from higher average prices received, offset by
a decrease in production. For the six months ended June 30, 2000, 26,759 barrels

                                        7


<PAGE>



of oil,  16,307  barrels of natural gas liquids  ("NGLs")  and 68,163 mcf of gas
were sold,  or 54,427  barrel of oil  equivalents  ("BOEs").  For the six months
ended June 30, 1999,  25,057  barrels of oil,  18,393 barrels of NGLs and 80,888
mcf of gas were sold, or 56,931 BOEs.

The average price  received per barrel of oil increased  $14.19,  or 106%,  from
$13.44 for the six months  ended June 30,  1999 to $27.63 for the same period in
2000.  The average price received per barrel of NGLs  increased  $6.20,  or 88%,
from  $7.07  during the six  months  ended June 30,  1999 to $13.27 for the same
period in 2000.  The average  price  received per mcf of gas  increased 41% from
$1.32  during the six months ended June 30, 1999 to $1.86 for the same period in
2000. 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, 2000.

The volatility of commodity prices has had, and continues to have, a significant
impact on the Partnership's revenues and operating cash flow and could result in
additional  decreases to the  carrying  value of the  Partnership's  oil and gas
properties.

Costs and Expenses:

Total costs and expenses increased to $557,731 for the six months ended June 30,
2000 as  compared  to  $531,921  for the same  period in 1999,  an  increase  of
$25,810,  or 5%. This  increase  was due to increases  in  production  costs and
general and administrative expenses ("G&A"), offset by a decline in depletion.

Production  costs  were  $464,779  for the six months  ended  June 30,  2000 and
$401,324 for the same period in 1999  resulting in a $63,455  increase,  or 16%.
The increase was the result of higher production taxes due to higher oil and gas
prices  and  additional  well  maintenance  costs  incurred  to  stimulate  well
production.

G&A's  components are independent  accounting and engineering  fees and managing
general  partner  personnel  and  operating  costs.   During  this  period,  G&A
increased, in aggregate, 74% from $19,644 for the six months ended June 30, 1999
to $34,139 for the same period in 2000  primarily due to a higher  allocation of
the managing general partner's G&A being allocated (limited to 3% of oil and gas
revenues) as a result of increased oil and gas revenues.

Depletion  was  $58,813  for the six months  ended  June 30,  2000  compared  to
$110,953  for the same  period in 1999,  a decrease  of  $52,140,  or 47%.  This
decrease was  attributable  to an increase in proved  reserves during the period
ended June 30, 2000 due to higher commodity prices, offset by an increase in oil
production  of 1,702  barrels for the six months ended June 30, 2000 compared to
the same period in 1999.

                                        8


<PAGE>



Three months ended June 30, 2000 compared with three months ended June 30, 1999

Revenues:

The Partnership's  oil and gas revenues  increased 57% to $549,309 for the three
months  ended June 30, 2000 as compared to $350,893 for the same period in 1999.
The increase in revenues resulted from higher average prices received, offset by
a decrease in  production.  For the three  months  ended June 30,  2000,  13,188
barrels of oil, 8,087 barrels of NGLs and 33,092 mcf of gas were sold, or 26,790
BOEs. For the three months ended June 30, 1999,  12,132  barrels of oil,  11,659
barrels of NGLs and 48,305 mcf of gas were sold, or 31,842 BOEs.

The average  price  received per barrel of oil  increased  $12.42,  or 82%, from
$15.23 for the three  months  ended June 30, 1999 to $27.65 for the three months
ended June 30, 2000.  The average  price  received per barrel of NGLs  increased
$5.63,  or 69%, from $8.21 during the three months ended June 30, 1999 to $13.84
for the same period in 2000. The average price received per mcf of gas increased
51% to $2.20 for the three  months  ended June 30,  2000 from $1.46 for the same
period in 1999.

Costs and Expenses:

Total costs and  expenses  increased to $290,116 for the three months ended June
30, 2000 as compared  to  $251,583  for the same period in 1999,  an increase of
$38,533, or 15%. This increase was due to increases in production costs and G&A,
offset by a decline in depletion.

Production  costs were  $245,145  for the three  months  ended June 30, 2000 and
$205,328  for the same period in 1999  resulting  in an increase of $39,817,  or
19%. The increase  was due to  additional  well  maintenance  costs  incurred to
stimulate well production and higher  production taxes due to higher oil and gas
prices.

During this period, G&A increased, in aggregate,  76% from $11,263 for the three
months ended June 30, 1999 to $19,804 for the same period in 2000  primarily due
to a higher  allocation of the managing  general  partner's G&A being  allocated
(limited to 3% of oil and gas  revenues)  as a result of  increased  oil and gas
revenues.

Depletion  was $25,167  for the three  months  ended June 30,  2000  compared to
$34,992 for the same period in 1999, a decrease of $9,825, or 28%. This decrease
was primarily  attributable  to an increase in proved reserves during the period
ended  June 30,  2000 as a result  of  higher  commodity  prices,  offset  by an
increase in oil  production of 1,056 barrels for the three months ended June 30,
2000 compared to the same period in 1999.

Liquidity and Capital Resources

Net Cash Provided by Operating Activities

Net cash  provided by operating  activities  increased  $465,986  during the six
months  ended  June 30,  2000 from the same  period  ended June 30,  1999.  This

                                        9


<PAGE>


increase was due to an increase oil and gas sales  receipts of $542,274,  offset
by  increases  in  operating  costs paid of  $61,524  and G&A  expenses  paid of
$14,764.

Net Cash Provided by (Used in) Investing Activities

The  Partnership's  principal  investing  activities during the six months ended
June 30, 2000 included equipment upgrades on various oil and gas properties.

Proceeds from asset  dispositions  of $180 were  received  during the six months
ended June 30, 1999 from equipment credits received on active properties.

Net Cash Used in Financing Activities

For the six months ended June 30, 2000, cash  distributions to the partners were
$507,986, of which $129,953 was distributed to the general partners and $378,033
to the  limited  partners.  For the  same  period  ended  June  30,  1999,  cash
distributions to the partners were $92,924,  of which $23,263 was distributed to
the general partners and $69,661 to the limited partners.

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

(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


                                       10


<PAGE>


                           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 11, 2000            By:    /s/ Rich Dealy
                                         ------------------------------------
                                         Rich Dealy, Vice President and
                                          Chief Accounting Officer

                                       11


<PAGE>