FORM 10-Q

               SECURITIES AND EXCHANGE COMMISSION

                     Washington, D.C.  20549

(Mark one)
[X]  QUARTERLY  REPORT PURSUANT TO SECTION 13 OR 15  (d)  OF  THE
     SECURITIES EXCHANGE ACT OF 1934.

For Quarterly Period Ended    June 30, 2004

                               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 Number 1-8462

GRAHAM CORPORATION
(Exact name of registrant as specified in its charter)


DELAWARE                                                16-1194720
(State or other jurisdiction of                   (I.R.S. Employer
incorporation or organization)                 Identification No.)


20 FLORENCE AVENUE, BATAVIA, NEW YORK                        14020
(Address of Principal Executive Offices)                (Zip Code)


Registrant's telephone number, including Area Code -  585-343-2216


(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 _____

   Indicate   by  check  mark  whether  the  registrant   is   an
accelerated filer (as defined by Rule 12b-2 of the Act).

                        Yes __ __      No __X__

   As  of August 3, 2004, there were outstanding 1,658,327 shares
of common stock, $.10 per share.





2

               Graham Corporation and Subsidiaries
                       Index to Form 10-Q
          For the Quarterly Period Ended June 30, 2004



                                                     
                                                           Page
Part I   FINANCIAL INFORMATION
Item 1.  Financial Statements                               3
Item 2.  Management's   Discussion  and   Analysis   of
         Financial Condition and Results of Operations      14

Item 3.  Quantitative and Qualitative Disclosure  About
         Market Risk                                        18

Item 4.  Controls and Procedures                            21


Part II. OTHER INFORMATION
Item 5.  Other Information                                  21
Item 6.  Exhibits and Reports on Form 8-K                   21




































<Page>3
               GRAHAM CORPORATION AND SUBSIDIARIES

                            FORM 10-Q

                          JUNE 30, 2004

                 PART I - FINANCIAL INFORMATION


       (Dollar amounts in thousands except per share data)


























   Unaudited  condensed  consolidated  financial  statements   of
Graham Corporation (the Company) and its subsidiaries as of  June
30,  2004 and for the three month periods ended June 30, 2004 and
2003  are  presented  on  the  following  pages.   The  financial
statements  have been prepared in accordance with  the  Company's
usual  accounting  policies, are based in part on  approximations
and  reflect all normal and recurring adjustments which  are,  in
the  opinion  of management, necessary to a fair presentation  of
the   results  of  the  interim  periods.   The  March  31,  2004
Consolidated Balance Sheet was derived from the Company's audited
Balance Sheet for the year ended March 31, 2004.

   This  part also includes management's discussion and  analysis
of  the Company's financial condition as of June 30, 2004 and its
results of operations for the three-month periods ended June  30,
2004 and 2003.







4

               GRAHAM CORPORATION AND SUBSIDIARIES

                   CONSOLIDATED BALANCE SHEETS

                           (Unaudited)
<Table>
<Caption>                                  June 30,      March 31,
                                             2004          2004
                                             ----          ----
                                                   
Assets
Current assets:
 Cash and cash equivalents                  $ 1,110       $   467
 Investments                                  4,495         5,296
 Trade accounts receivable, net of
  allowances ($86 and $75 at June 30 and
 March 31, 2004, respectively                 6,244         8,950
 Inventories, net                             6,792         7,015
 Domestic and foreign income taxes
  receivable                                    945           972
 Deferred income tax asset                    1,711         1,538
 Prepaid expenses and other current
  assets                                         360           217
                                             -------       -------
   Total current assets                       21,657        24,455
Property, plant and equipment, net             9,034         9,227
Deferred income tax asset                      2,457         2,048
Other assets                                      54            58
                                             -------       -------
   Total assets                              $33,202       $35,788
                                             =======       =======

Liabilities and Shareholders' Equity
Current liabilities:
 Short-term debt                             $ 1,577       $ 1,925
 Current portion of long-term debt                45            44
 Accounts payable                              2,545         3,230
 Accrued compensation                          3,240         3,866
 Accrued expenses and other liabilities        1,331         1,562
 Customer deposits                             2,357         2,128
                                             -------       -------
   Total current liabilities                  11,095        12,755



Long-term debt                                    82            93
Accrued compensation                             232           239
Deferred income tax liability                     76            77
Other long-term liabilities                       45            61
Accrued pension liability                      2,222         1,873
Accrued postretirement benefits                2,507         2,540
                                             -------       -------
   Total liabilities                          16,259        17,638
                                             -------       -------

</Table>


5
               GRAHAM CORPORATION AND SUBSIDIARIES

             CONSOLIDATED BALANCE SHEETS (CONCLUDED)

                           (UNAUDITED)

<Table>
<Caption>

                                           June 30,      March 31,
                                             2004          2004
                                             ----          ----
                                                     
Shareholders' equity:
 Preferred stock, $1 par value -
  Authorized, 500,000 shares
 Common stock, $.10 par value -
  Authorized, 6,000,000 shares
  Issued, 1,757,450 shares at June 30 and
   March 31, 2004                                176           176
 Capital in excess of par value                5,097         5,097
 Retained earnings                            16,189        17,370
 Accumulated other comprehensive loss
  Minimum pension liability adjustment        (1,456)       (1,456)
  Cumulative foreign currency translation
   adjustment                                 (1,486)       (1,452)
                                             -------       -------
                                              18,520        19,735
Less:
 Treasury stock (99,123 shares at June
  30 and March 31, 2004)                      (1,385)       (1,385)
 Notes receivable from officers and
  directors                                     (192)         (200)
                                             -------       -------
Total shareholders' equity                    16,943        18,150
                                             -------       -------
   Total liabilities and shareholders'
    equity                                   $33,202       $35,788
                                             =======       =======




















6


               GRAHAM CORPORATION AND SUBSIDIARIES

   CONSOLIDATED STATEMENTS OF OPERATIONS AND RETAINED EARNINGS

                           (Unaudited)




                                                  Three Months
                                                 ended June 30,
                                              2004           2003
                                              ----           ----

                                                       
Net Sales                                   $ 9,397          $ 8,435
                                            -------          -------

Cost and expenses:
 Cost of products sold                        8,548            7,440
 Selling, general and administrative          2,481            2,407
 Interest expense                                25               37
 Other income                                                   (522)
                                            -------          -------
  Total costs and expenses                   11,054            9,362
                                            -------          -------
Loss before benefit for income taxes         (1,657)            (927)
Benefit for income taxes                       (559)            (269)
                                            -------          -------

Net loss                                     (1,098)            (658)

Retained earnings at beginning of
 period                                      17,370           18,767
Dividends                                       (83)             (82)
                                            -------          -------
Retained earnings at end of period          $16,189          $18,027
                                            =======          =======

Per Share Data:
 Basic:
  Net loss                                    $(.66)           $(.40)
                                              =====            =====
 Diluted:
  Net loss                                    $(.66)           $(.40)
                                              =====            =====

</Table>









7


               GRAHAM CORPORATION AND SUBSIDIARIES

              CONSOLIDATED STATEMENTS OF CASH FLOWS

                           (Unaudited)

<Table>
<Caption>

                                               Three Months Ended June 30,
                                                     2004           2003
                                                     ----           ----
                                                            
Operating activities:
 Net loss                                        $ (1,098)        $  (658)
                                                 --------         -------
 Adjustments to reconcile net loss to net
  cash provided (used) by operating activities:
  Depreciation and amortization                       250             261
  Discount accretion on investments                   (10)            (21)
  (Increase) Decrease in operating assets:
   Accounts receivable                              2,683           1,399
   Inventory, net of customer deposits                425             737
   Prepaid expenses and other current and non-
    current assets                                   (145)           (293)
  Increase (Decrease) in operating liabilities:
   Accounts payable, accrued compensation,
    accrued expenses and other current and
    non-current liabilities                        (1,108)         (3,095)
   Non current accrued compensation,
     accrued pension liability, and
     accrued postemployment benefits                 (126)           (336)
   Domestic and foreign income taxes                   28              61
   Deferred income taxes                             (590)           (129)
                                                 --------         -------
     Total adjustments                              1,407          (1,416)
                                                 --------         -------
 Net cash provided (used) by operating
  activities                                          309          (2,974)
                                                 --------         -------

















8
               GRAHAM CORPORATION AND SUBSIDIARIES

              CONSOLIDATED STATEMENTS OF CASH FLOWS (CONCLUDED)

                           (UNAUDITED)



                                               Three Months Ended June 30,
                                                     2004           2003
                                                     ----           ----
                                                               
Investing activities:
 Purchase of property, plant and equipment            (65)            (58)
 Collection of notes receivable from
  officers and directors                                8              14
 Purchase of investments                           (2,692)         (1,500)
 Redemption of investments at maturity              3,503           3,500
                                                 --------         -------
 Net cash provided by investing activities            754           1,956
                                                 --------         -------

Financing activities:
 (Decrease) Increase in short-term debt, net         (327)            209
 Proceeds from issuance of long-term debt                           5,350
 Principal repayments on long-term debt               (10)         (5,376)
 Issuance of common stock                                              57
 Dividends paid                                       (83)
 Acquisition of treasury stock                                        (20)
                                                 --------         -------
 Net cash (used) provided by financing
  activities                                         (420)            220
                                                 --------         -------
 Effect of exchange rate changes on cash                               (1)
                                                 --------         -------
 Net increase in cash and cash equivalents            643             101

 Cash and cash equivalents at beginning of
  period                                              467             217
                                                 --------         -------

Cash and cash equivalents at end of period         $1,110         $   318
                                                 ========         =======
















9


               GRAHAM CORPORATION AND SUBSIDIARIES

      NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS

                          JUNE 30, 2004





NOTE 1 - INVENTORIES

   Major classifications of inventories are as follows:


                                           June 30,      March 31,
                                             2004           2004
                                             ----           ----
                                                    
Raw materials and supplies                 $1,757         $ 1,745
Work in process                             5,455           6,200
Finished products                           2,450           2,500
                                           ------         -------
                                            9,662          10,445
Less - progress payments                    2,739           3,309
     - inventory reserve                      131             121
                                           $6,792         $ 7,015
                                           ======         =======



NOTE 2 -STOCK-BASED COMPENSATION

     The   Company  accounts  for  stock-based  compensation   in
accordance   with  SFAS  No.  123,  "Accounting  for  Stock-Based
Compensation".   As  permitted  by  SFAS  No.  123,  the  Company
continues  to  measure  compensation for  such  plans  using  the
intrinsic  value  based  method  of  accounting,  prescribed   by
Accounting  Principles Board (APB), Opinion No.  25,  "Accounting
for  Stock Issued to Employees".  Accordingly, compensation  cost
for  stock  options is measured as the excess,  if  any,  of  the
quoted  market price of the Company's stock at the date of  grant
over  the  amount  an  employee must pay to  acquire  the  stock.
Compensation cost for share equivalent units is recorded based on
the  quoted market price of the Company's stock at the end of the
period.

     Under  the intrinsic value method, no compensation  expense
has  been recognized for the Company's stock option plans.   Had
compensation  cost  for the Company's stock  option  plans  been
determined based on the fair value at the grant date for  awards
under  those  plans in accordance with the optional  methodology
prescribed  under SFAS No. 123, the Company's net loss  and  net
loss  per  share would have been the pro forma amounts indicated
below:


10


                                          Three months ended
                                               June 30,
                                         2004           2003
                                         ----           ----
                                                 
Net loss as reported                    $(1,098)       $(658)
Stock-based employee
 compensation cost
 net of related tax
 benefits                                                (11)
                                        -------        -----
Pro forma net loss                      $(1,098)       $(669)
                                        =======        =====

Basic loss per
 share               As reported          $(.66)       $(.40)
                     Pro forma            $(.66)       $(.41)

Diluted loss per
share                As reported          $(.66)        $(.40)
                     Pro forma            $(.66)        $(.41)


   For  purposes of the disclosure above, the fair value of  each
option  grant  is  estimated on the date of the grant  using  the
Black-Scholes option-pricing model.  During the first quarter  of
fiscal  year  2005,  no  options  were  granted.   The  following
weighted-average assumptions were used for grants in fiscal  year
2004:


          Expected life         5 years
          Volatility              50.6%
          Risk-free interest
           rate                   2.25%
          Dividend yield          2.40%




NOTE 3 - LOSS PER SHARE:

   Basic  loss per share is computed by dividing net loss by  the
weighted  average  number of common shares  outstanding  for  the
period.   Common  shares  outstanding  include  share  equivalent
units, which are contingently issuable shares.  Diluted loss  per
share  is calculated by dividing net loss by the weighted average
number  of  common and, when applicable, potential common  shares
outstanding   during  the  period.   A  reconciliation   of   the
numerators and denominators of basic and diluted loss  per  share
is presented below:






11


                                                  Three months
                                                 ended June 30,
                                               2004          2003
                                               ----          ----
                                                  
Basic loss per share
Numerator:
Net loss                                  $   (1,098)    $     (658)
                                          ----------     ----------
Denominator:
Weighted common shares outstanding         1,658,327      1,618,616
Share equivalent units (SEUs)
outstanding                                   16,437         16,155
                                          ----------     ----------
Weighted average shares and SEUs
outstanding                                1,674,764      1,634,771
                                          ----------     ----------

Basic loss per share                           $(.66)         $(.40)
                                               =====          =====
Diluted loss per share
Numerator:
Net loss                                  $   (1,098)    $     (658)
                                          ----------     ----------
Denominator:
Weighted average common and potential
common shares outstanding                  1,674,764      1,634,771
                                          ----------     ----------

Diluted loss per share                         $(.66)         $(.40)
                                               =====          =====


   All  options  to  purchase shares of common stock  at  various
exercise  prices  were excluded from the computation  of  diluted
loss  per share, as the effect would be antidilutive due  to  the
net loss.

NOTE 4 - PRODUCT WARRANTY LIABILITY

   The  reconciliation  of the changes in  the  product  warranty
liability is as follows:


                                                 Three months
                                                 ended June 30,
                                               2004          2003
                                               ----          ----

                                                       
Balance at beginning of period                $242           $592
Expense for product warranties                  62             75
Product warranty claims paid                   (38)          (281)
                                              ----           ----
Balance at end of period                      $266           $386
                                              ====           ====

12


NOTE 5 - CASH FLOW STATEMENT

   Interest paid was $25 and $31 for the three months ended  June
30,  2004  and  2003,  respectively.  In addition,  income  taxes
refunded  were $10 and $202 for the three months ended  June  30,
2004 and 2003, respectively.

   Non-cash  activities during the three months  ended  June  30,
2004  and  2003  included dividends of $83 and $82, respectively,
which  were  recorded but not paid.  In addition,  in  the  first
quarter  of  fiscal year 2004, capital expenditures totaling  $11
were financed through the issuance of capital leases.



NOTE 6 - COMPREHENSIVE (LOSS) INCOME

   Total  comprehensive loss was $1,132 and $523  for  the  three
months  ended  June  30,  2004  and  2003,  respectively.   Other
comprehensive   income  included  foreign  currency   translation
adjustments  of  $(34) and $135 for the quarters ended  June  30,
2004 and 2003, respectively.



NOTE 7 - EMPLOYEE BENEFIT PLANS

   The  components  of  pension cost for the three  months  ended
June 30 are as follows:


                                       2004     2003
                                       ----     ----
                                         
    Service cost                      $ 118    $ 110
    Interest cost                       244      221
    Expected return on assets          (226)    (181)
    Amortization of:
    Transition asset                     (4)     (10)
    Unrecognized prior service cost       1        1
    Actuarial loss                       76       66
                                      -----    -----
    Net pension cost                  $ 209    $ 207
                                      =====    =====


   The  Company made contributions of $302 to the defined benefit
pension  plan  in  the first quarter of fiscal  year  2005.   The
Company expects its contributions to the plan for the balance  of
2005 to be approximately $668.







13
   The  components of the postretirement benefit income  for  the
three months ended June 30 are as follows:



                                                 2004     2003
                                                 ----     ----
                                                   
    Service cost                                $   0    $   3
    Interest cost                                  18       16
    Amortization of prior service cost            (41)     (31)
    Amortization of actuarial loss                  6        2
                                                -----    -----
    Net postretirement benefit income           $ (17)   $ (10)
                                                =====    =====


   The   Company   paid   benefits  of  $15   relating   to   its
postretirement benefit plan in the first quarter of  fiscal  year
2005.  The Company expects to pay benefits of approximately  $141
for the balance of 2005.



NOTE 8 - OTHER INCOME

   On  February  4,  2003,  the  Company  irrevocably  terminated
postretirement  health care benefits for current U.S.  employees.
Benefits  payable to retirees of record on April 1, 2003 remained
unchanged.  As a result of the plan change, a curtailment gain of
$522 was recognized.  This gain is included in the caption "Other
Income"  in the Consolidated Statement of Operations and Retained
Earnings for the three months ended June 30, 2003.


























14
NOTE 9 - SEGMENT INFORMATION

   The  Company's  business  consists of two  operating  segments
based  upon  geographic area.  The United States segment  designs
and  manufactures  heat  transfer and vacuum  equipment  and  the
operating  segment  located  in the United  Kingdom  manufactures
vacuum  equipment.   Operating segment information  is  presented
below:



                                               Three months
                                              ended June 30,
                                            2004          2003
                                            ----          ----
                                                   
Sales to external customers
  U.S.                                     $ 7,762       $7,611
  U.K.                                       1,635          824
                                           -------       ------
  Total                                    $ 9,397       $8,435
                                           =======       ======

Intersegment sales
  U.S.                                     $    24       $   28
  U.K.                                         201          341
                                           -------       ------
  Total                                    $   225       $  369
                                           =======       ======

Segment net loss
  U.S.                                     $  (851)      $ (512)
  U.K.                                        (307)        (298)
                                           -------       ------
  Total                                    $(1,158)      $ (810)
                                           =======       ======


   The  segment  net loss above is reconciled to the consolidated
totals as follows:


                                                  
Total segment net loss                    $(1,158)      $ (810)
Eliminations                                   60          152
                                          -------       ------
Net loss                                  $(1,098)      $ (658)
                                          =======       ======











15
NOTE 10 - RELATED PARTY TRANSACTION

   On  April  1,  2003,  the Company acquired  30,800  shares  of
common   stock  previously  issued  under  the  Long-Term   Stock
Ownership  Plan  from two former officers.  This transaction  was
accounted  for  as a purchase.  The shares were redeemed  at  the
original  issue price of $7.25, as compared to a market price  at
the time of the closing of $7.55.  This transaction resulted in a
$224  increase  to  treasury stock, a  $204  reduction  in  notes
receivable  from  officers and directors  and  cash  payments  to
former  officers.   The cash payments of $20 approximate  amounts
previously paid on the notes.



NOTE 11 - CONTINGENCIES

     In  April 2004, the Company filed a complaint in the  United
States  District  Court for the Northern District  of  California
alleging  breach of contract by a customer.  The subject contract
has a value of $5,286 and is protected with cancellation charges.
In January 2002, the contract was suspended by the customer.  The
complaint contends that the contract is cancelled and the Company
is  entitled  to  cancellation charges  in  accordance  with  the
contract.   In  June  2004, this customer  filed  a  counterclaim
seeking  specific  performance of the contract or  money  damages
including,  but not limited to, approximately $1,700 for  amounts
previously  paid under the contract, the difference  between  the
contract  price and the market price or replacement cost  of  the
equipment  that was to be supplied under contract, plus  any  and
all incidental and consequential damages incurred by the customer
due to the breach of contract.

   In  May  2004,  the  Company was named as  a  defendant  in  a
litigation  matter  alleging personal  injury  from  exposure  to
asbestos contained in the Company's product.  The Company is a co-
defendant  with  numerous other defendants  in  this  suit.   The
Company  is defending this action and has consulted with  counsel
with  respect to this proceeding.  Counsel has advised that given
the  plaintiff's  work  history, his medical  diagnosis  and  the
effect of venue on the magnitude of damages, there is a potential
for   significant   liability.   However,  the   amount   is   not
determinable.

   From   time  to  time,  the  Company  is  subject   to   legal
proceedings  arising  in the ordinary course  of  business.   The
Company believes there is no other litigation pending against  it
that  could  have, individually or in the aggregate,  a  material
adverse effect on its financial statements.










16
               GRAHAM CORPORATION AND SUBSIDIARIES
        MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
               CONDITION AND RESULTS OF OPERATIONS
                          June 30, 2004


OVERVIEW

     Graham  Corporation  consists of two operating  segments  as
determined  by  geographic areas (USA:  Graham  Corporation,  UK:
Graham  Vacuum  and  Heat Transfer Limited and  its  wholly-owned
subsidiary, Graham Precision Pumps Limited).

     Graham  Corporation  designs  and  builds  vacuum  and  heat
transfer  equipment  for  the process industries  throughout  the
world.   The  Company  is  a leader in  vacuum  technology.   The
principal   markets   for  our  equipment   are   the   chemical,
petrochemical,  petroleum refining and electric power  generating
industries, including cogeneration and geothermal plants.   Other
markets served include metal refining, pulp and paper processing,
shipbuilding,  water heating, refrigeration,  desalination,  food
processing,  drug  manufacturing, heating,  ventilating  and  air
conditioning.

     Ejectors, liquid ring and dry vacuum pumps, condensers, heat
exchangers  and other products we sell, sold either as components
or  as  complete  systems, are used by our customers  to  produce
synthetic   fibers,  chemicals,  petroleum  products   (including
gasoline),  electric  power, processed  food  (including  canned,
frozen  and  dairy  products),  pharmaceutical  products,  paper,
steel,  fertilizers and numerous other products used everyday  by
people throughout the world.


FORWARD-LOOKING STATEMENTS

     Certain statements contained in this document, including  in
this  Management's Discussion and Analysis of Financial Condition
and   Results  of  Operations  that  are  not  historical  facts,
constitute "Forward-Looking Statements" within the meaning of the
Private  Securities  Litigation Reform  Act  of  1995.   Forward-
looking  statements, in general, predict, forecast,  indicate  or
imply  future results, performance or achievements and  generally
use  words  so  indicative.  The Company wishes  to  caution  the
reader  that numerous important factors which involve  risks  and
uncertainties,   including   but   not   limited   to   economic,
competitive, governmental and technological factors affecting the
Company's operations, markets, products, services and prices, and
other  factors  discussed  in  the  Company's  filings  with  the
Securities  and Exchange Commission, in the future, could  affect
the   Company's  actual  results  and  could  cause  its   actual
consolidated results to differ materially from those expressed in
any  forward-looking  statement made by, or  on  behalf  of,  the
Company.





17
CRITICAL ACCOUNTING POLICIES, ESTIMATES AND JUDGMENTS

     The  discussion and analysis of our financial condition  and
results  of operations are based upon our consolidated  financial
statements,   which  have  been  prepared  in   accordance   with
accounting principles generally accepted in the United States  of
America ("GAAP").

     Critical  accounting policies are defined as those that  are
reflective of significant judgments and uncertainties, and  could
potentially   result  in  materially  different   results   under
different  assumptions and conditions.  Management has  discussed
each of these critical accounting policies and estimates with the
Audit Committee of the Board of Directors.

Revenue Recognition - The Corporation recognizes revenue and  all
related  costs  on contracts with a duration in excess  of  three
months  and  with  revenue  of at least  $1,000  and  500  pounds
sterling,  in  the  USA and UK operating segments,  respectively,
using  the  percentage-of-completion method.  The  percentage-of-
completion method is determined by relating actual labor incurred
to-date to management's estimate of total labor to be incurred on
each  contract.  Contracts in progress are reviewed monthly,  and
sales  and  earnings  are adjusted in current accounting  periods
based  on revisions in the contract value and estimated costs  at
completion.

     Revenue not accounted for using the percentage-of-completion
method  is accounted for on the completed contract method because
of the large number of contracts and the fact that the effects of
the use of such method do not vary materially from the use of the
percentage-of-completion method.  The Company recognizes  revenue
and  all  related  costs on the completed  contract  method  upon
substantial  completion or shipment to the customer.  Substantial
completion is consistently defined as at least 95% complete  with
regard  to  direct labor hours.  Customer acceptance is generally
required throughout the construction process and the Company  has
no  further  material obligations under the  contract  after  the
revenue is recognized.

Pension  and  Postretirement Benefits  -  The  Company's  defined
benefit  pension  and  other  postretirement  benefit  costs  and
obligations  are  dependent  on  actuarial  assumptions  used  in
calculating such amounts.  These assumptions, which are  reviewed
annually  by  the  Company, include the discount rate,  long-term
expected rate of return on plan assets, salary growth, healthcare
cost trend rate and other economic and demographic factors.   The
Company bases the discount rate assumption for its plans  on  the
AA-rated  corporate  long-term bond yield  rate.   The  long-term
expected  rate  of return on plan assets is based on  the  plan's
asset allocation, historical returns and management's expectation
as  to  future returns that are expected to be realized over  the
estimated  remaining life of the plan liabilities  that  will  be
funded  with the plan assets.  The salary growth assumptions  are
determined based on the Company's long-term actual experience and
future  and  near-term outlook.  The healthcare cost  trend  rate
assumptions  are based on historical cost and payment  data,  the
near-term  outlook,  and an assessment of  the  likely  long-term
trends.
18
       To   the  extent  that  actual  results  differ  from  our
assumptions, the differences are reflected as unrecognized  gains
and  losses  and  are  amortized to earnings over  the  estimated
future service period of the plan participants to the extent such
total  net recognized gains and losses exceed 10% of the  greater
of  the plan's projected benefit obligation or the market-related
value of assets.  Significant differences in actual experience or
significant  changes  in  future  assumptions  would  affect  the
Company's   pension   and  postretirement   benefit   costs   and
obligations.

Use of Estimates -  The preparation of these financial statements
requires  us  to  make estimates and judgments  that  affect  the
reported amounts of assets and liabilities, revenues and expenses
and  related  disclosure of contingent assets and liabilities  at
the  date of our financial statements.  Actual results may differ
from  these  estimates under different assumptions or conditions.
Use  of  estimates  include  the recording  of  revenue,  pension
obligations,   and  the  underlying  assumptions  and   valuation
reserves  for  uncollectible  accounts,  inventory  obsolescence,
deferred taxes, warranty and liquidated damages.


Results of Operations

     For   an  understanding  of  the  significant  factors  that
influenced  the  Company's performance, the following  discussion
should  be  read  in conjunction with the quarterly  consolidated
financial  statements  and  the notes to  consolidated  financial
statements.



                                    Three Months Ended
                             June 30, 2004       June 30, 2003
                             -------------       -------------
                                             
                             USA      UK         USA      UK
                             ---      --         ---      --
Sales                     $ 7,786  $ 1,836     $ 7,639   $ 1,165
Net Loss                  $  (851) $  (307)    $  (512)  $  (298)
Diluted Loss Per Share    $ (0.51) $ (0.18)    $ (0.31)  $ (0.18)
Identifiable Assets       $31,223  $ 5,827     $32,349   $ 6,104


Amounts above are inclusive of intercompany amounts.

     Consolidated  sales  (net  of intercompany  sales)  for  the
quarter were $9,397, as compared to $8,435 for the quarter  ended
June  30, 2003.  This represents an 11% increase in sales.  Sales
in  the  USA  were  up  2%  from one year  ago.   Sales  from  UK
operations  were up 58%.  The increase in sales for  the  current
quarter,  compared to sales for the three months ended  June  30,
2003,  was a result of a significant increase in sales of  vacuum
pumps and pump systems.




19
     The consolidated gross profit margin for the quarter was 9%,
as  compared  to  12% for the quarter ended June  30,  2003.   By
segment, USA operation's gross profit decreased from 9% to 8% for
the first quarter of FYE 2005 versus FYE 2004, and the UK's gross
profit margin decreased from 8% to 7%.  Consolidated gross profit
margins differ from individual segment gross profit margins  when
sales   between   consolidating  entities   are   recognized   in
consolidated  results in different accounting  periods  from  the
dates of the intercompany sales, and the gross profit margins  at
the time of the intercompany sales differ from those realized  on
average for the reported periods.

     Selling, General and Administrative (SG&A) expenses were 26%
of  sales  for the current quarter, as compared to  29%  for  the
quarter  ended  June 30, 2003.  The decrease is  due  to  greater
sales in the current quarter.

     Interest expense decreased from $37 to $25 primarily due  to
a  decrease  in  average debt from $944 during the quarter  ended
June  30,  2003  to  $132 for the current  quarter  in  the  USA.
Partially  offsetting the decrease in the USA was an increase  in
the  UK, which is attributed to higher bank borrowings needed  to
finance work-in-process inventory.

     Other income for the current quarter was $0 compared to $522
for   the  three  months  ended  June  30,  2003.   Other  income
recognized   at   June  30,  2003  represents   a   non-recurring
curtailment   gain   resulting  from   the   discontinuation   of
postretirement medical benefits.

     The  effective income tax rate for the quarter was  34%,  as
compared to 29% at June 30, 2003.  The lower than statutory  rate
of  29% was based upon a forecasted annual taxable income for FYE
2004  and  utilization of the extra territorial income  exclusion
benefit from foreign shipments.

     The net loss for the quarter was $1,098 or $0.66 per diluted
share.   This compares to a net loss of $658 or $0.40 per diluted
share at June 30, 2003.

Liquidity and Capital Resources


                                    Three Months Ended
                             June 30, 2004       June 30, 2003
                             -------------       -------------
                                                
                             USA     UK          USA      UK
Working Capital           $ 9,129    $ 1,762    $10,661  $ 1,653
Cash (Deficit) Flow from
Operations                $   (56)   $   365    $(1,865) $   208
Cash and Investments      $ 5,577    $    28    $ 4,767  $    18
Capital Expenditures      $    27    $    37    $    41  $    17
Long-Term Bank Borrowings $     0    $     0    $     0  $     0
Capital Leases            $   127    $     0    $   179  $    13
Working Capital Ratio(1)      2.1        1.6        2.3      1.5
Long-Term Debt/Equity(1)      0.5%       0.0%      0.7%      0.0%

(1)As of June 30
20
     Consolidated cash flow from operations was positive $309 for
the   current  quarter  compared  to  negative  cash  flow   from
operations  of $2,074 for the quarter ended June 30,  2003.   The
swing in cash flow from negative to positive was achieved through
a decrease in working capital.

     The  Company  expects to consume cash in excess  of  amounts
generated from operations over the next several months  to  cover
operating losses and fund a build-up of work-in-process inventory
for increased shipments in future quarters.

     The   primary  source  of  liquidity  is  cash   flow   from
operations, investments in short-term treasury bills and  secured
credit agreements.


Orders and Backlog

   Orders  for  the current quarter were $15,157, as compared  to
$11,233 for the quarter ended June 30, 2003, representing  a  35%
increase and a 47% increase over the four quarter average of  FYE
2004.  Prior to intercompany elimination, orders in the USA  were
$13,545  compared to $10,353 in the quarter ended June 30,  2003.
Orders in the UK were $1,843 as compared to $2,106 one year ago.

   Backlog  was $27,844 at June 30, 2004, as compared to  $26,430
at  June  30,  2003.   Prior  to intercompany  eliminations,  USA
unfilled  orders were $25,045 and UK unfilled orders were  $3,160
at  June  30, 2004.  At June 30, 2003, USA and UK backlog amounts
were  $25,696  and  $2,404, respectively.  Included  in  the  USA
backlog  figures at June 30, 2004 were $5,484 in orders that  may
not  be shipped in the next twelve months.  All orders in backlog
represent  orders  from  traditional  markets  in  the  Company's
established product lines.

   In  April  2004,  Graham  filed  a  complaint  for  breach  of
contract in the United States District Court, asking the Court to
find  a  contract, valued at $5,144 and included  in  the  $5,484
noted  above, cancelled and award cancellation fees as  specified
in the contract.

Market Risk (Quantitative and Qualitative Disclosures)

     The  principal market risks (i.e., the risk of loss  arising
from  changes  in  market rates and prices) to  which  Graham  is
exposed are:

              interest rates
              foreign exchange rates
              equity price risk
              material availability and price risk

     The assumptions applied in preparing quantitative disclosures
regarding interest rate, foreign exchange  rate  and equity price
risk are based upon volatility ranges experienced in relevant
historical periods, management's current  knowledge  of
the  business and market place, and management's judgment of  the
probability of future volatility based upon the historical trends
and economic conditions of the business.
21
     The  Company  is  exposed to interest  rate  risk  primarily
through  its  borrowing  activities.  Management's  strategy  for
managing risks associated with interest rate fluctuations  is  to
hold  interest-bearing debt to the absolute minimum and carefully
assess the risks and rewards for incurring long-term debt.  Based
upon variable rate debt outstanding at the quarter ended June 30,
2004  and 2003, a 1% change in interest rates would impact annual
interest expense by $16 and $18, respectively.

     Graham's international consolidated sales for the past three
years  approximates  43%.  Operating in  world  markets  involves
exposure  to  movements  in  currency exchange  rates.   Currency
movements  can  affect sales in several ways, the foremost  being
the   ability   to  competitively  compete  for  orders   against
competition  having a relatively weaker currency.  Business  lost
due  to  this  cannot  be  quantified.   Secondly,  cash  can  be
adversely impacted by the conversion of sales in foreign currency
to  U.S.  dollars.  The substantial portion of Graham's sales  is
collected  in  the  local currency (USA - dollars;  UK  -  pounds
sterling).  For the quarters ended June 30, 2004 and 2003,  sales
in  foreign currencies were 5% and 2% of sales, respectively.  At
certain  times,  the  Company  may  enter  into  forward  foreign
exchange  agreements  to hedge its exposure  against  unfavorable
changes in foreign currency values on significant sales contracts
negotiated in foreign currencies.

     Graham  has  limited exposure to foreign currency purchases.
For  the  quarters  ended June 30, 2004 and  2003,  purchases  in
foreign  currencies  were  6% and 7%,  of  cost  of  goods  sold,
respectively.    At  certain  times,  forward  foreign   exchange
contracts may be utilized to limit currency exposure.

     UK operations experienced a current quarter net loss of $307
as  compared to a quarterly net loss of $298 for June  30,  2003.
As  currency  exchange rates change, translations of  the  income
statements  of the UK business into US dollars affect  year-over-
year  comparability of operating results.  The  increase  in  the
foreign  currency translation rate to convert pounds sterling  to
US  dollars  increased all UK income statement  items  and  order
amounts  by  12% and all UK balance sheet and backlog amounts  by
10%  for  the quarter ended June 30, 2004 over 2003.  The Company
does  not  hedge  translation risks because cash  flows  from  UK
operations  are  mostly reinvested in the UK.  A  10%  change  in
foreign  exchange rates would have impacted the UK  reported  net
loss by approximately $31 and $30 for the three months ended June
30, 2004 and 2003, respectively.

     The  Company has a Long-Term Incentive Plan, which  provides
for awards of share equivalent units (SEUs) for outside directors
based  upon the Company's performance.  The outstanding SEUs  are
recorded  at  fair market value thereby exposing the  Company  to
equity  price  risk.  Gains and losses recognized due  to  market
price   changes  are  included  in  the  Company's   results   of
operations.  Based upon the SEUs outstanding at June 30, 2004 and
2003 and a $12 per share price, a 50-75% change in the respective
year  end  market  price  of  the Company's  common  stock  would
positively  or negatively impact the Company's operating  results
by  $100  to $151 for the June 30, 2004 quarter and $99  to  $148
for  the three months ended June 30, 2003.  Assuming required net
22
income  of  $500  is met, and based upon a market  price  of  the
Company's  stock of $12 per share, a 50-75% change in  the  stock
price   would  positively  or  negatively  impact  the  Company's
operating results by $158 to $237 in 2006, $177 to $265 in  2007,
$191  to  $286 in 2008, $205 to $307 in 2009 and $208 to $312  in
2010.

            The   risks   associated   with   materials   include
availability  and  price  increases.   Material  shortages   have
affected the Company's ability to meet delivery requirements  for
certain  orders.  The Company has identified alternative  vendors
in such cases and seeks to negotiate escalation provisions in its
contracts in the event that costs of materials increase.














































23
               GRAHAM CORPORATION AND SUBSIDIARIES
                            FORM 10-Q
                          JUNE 30, 2004
                   PART II - OTHER INFORMATION




Item 4.   Controls and Procedures

          1    The Company's President and Chief Executive Officer and its
            Vice President-Finance and Chief Financial Officer each have
            independently evaluated the Company's disclosure controls and
            procedures as defined in Exchange Act Rules 13a-14(c) and 15d-
            14(c) as of the end of the period covered by this quarterly
            report on Form 10-Q and each regards such controls as effective.

            There  have been no significant changes to  any  such
            controls    or   in   other   factors   that    could
            significantly  affect  such controls,  subsequent  to
            the  date of their evaluation by each of the CEO  and
            the CFO.


Item 5.   Other Information

          a. The  Company's  chief executive  officer  and  chief
             financial  officer have furnished  to  the  SEC  the
             certification  with respect to this Form  10-Q  that
             is  required  by  Section 906 of the  Sarbanes-Oxley
             Act of 2002.


Item 6.   Exhibits and Reports on Form 8-K

          a. See index to exhibits.

          b. A  Form  8-K was filed on June 17, 2004 and included
             Items  7  and  12.   No  financial  statements  were
             required to be filed as part of the report.


                           SIGNATURES

   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.

                             GRAHAM CORPORATION




                             /s/ J. Ronald Hansen
                             J. Ronald Hansen
                             Vice President Finance and
                               Administration / CFO (Principal
                               Accounting Officer)

24


Date 8/3/04
                        INDEX OF EXHIBITS


(2)             Plan of acquisition, reorganization, arrangement,
          liquidation or succession

               Not applicable.

(3)(i)    Articles of Incorporation of Graham Corporation  (filed
          as  Exhibit 3(b) to the Registrant's annual  report  on
          Form  10-K  for the year ended December 31,  1989,  and
          incorporated herein by reference.)

(3)(ii)   By-laws of Registrant, as amended

(4)              Instruments  defining  the  rights  of  security
          holders, including indentures

     (a)     Equity securities

          The  instruments defining the rights of the holders  of
          Registrant's equity securities are as follows:

          Certificate of Incorporation, as amended of  Registrant
          (filed  as  Exhibit  3(a)  to the  Registrant's  annual
          report  on Form 10-K for the fiscal year ended December
          31, 1989, and incorporated herein by reference.)

          Stockholder Rights Plan of Graham Corporation (filed as
          Item 5 to Registrant's current report filed on Form 8-K
          on  August 23, 2000 and Registrant's Form 8-A filed  on
          September   15,  2000,  and  incorporated   herein   by
          reference).

     (b)     Debt securities

             Not applicable.

(10)      Material Contracts

          1989  Stock  Option  and Appreciation  Rights  Plan  of
          Graham  Corporation  (filed on the  Registrant's  Proxy
          Statement  for its 1990 Annual Meeting of  Stockholders
          and incorporated herein by reference.)

          1995  Graham  Corporation Incentive  Plan  to  Increase
          Shareholder  Value  (filed on  the  Registrant's  Proxy
          Statement  for its 1996 Annual Meeting of  Stockholders
          and incorporated herein by reference.)

          Graham   Corporation   Outside   Directors'   Long-Term
          Incentive   Plan  (filed  as  Exhibit   10.3   to   the
          Registrant's annual report on Form 10-K for the  fiscal
          year  ended March 31, 1998, and is incorporated  herein
          by reference.)

25
Index to Exhibits (cont.)

          2000  Graham  Corporation Incentive  Plan  to  Increase
          Shareholder  Value  (filed on  the  Registrant's  Proxy
          Statement  for its 2001 Annual Meeting of  Stockholders
          and incorporated herein by reference).

          Employment  Contracts  between Graham  Corporation  and
          Named Executive Officers (filed as Exhibit 10.4 to  the
          Registrant's annual report on Form 10-K for the  fiscal
          year  ended March 31, 1998, and is incorporated  herein
          by reference.)

          Senior   Executive  Severance  Agreements  with   Named
          Executive  Officers  (filed  as  Exhibit  10.5  to  the
          Registrant's annual report on Form 10-K for the  fiscal
          year  ended March 31, 1998, and is incorporated  herein
          by reference.)

          Long-Term  Stock  Ownership Plan of Graham  Corporation
          (filed on the Registrant's Proxy Statement for its 2000
          Annual  Meeting of Stockholders and incorporated herein
          by reference.)

(11)      Statement re-computation of per share earnings

          Computation of per share earnings is included in Note 3
          of the Notes to Financial Information.

(14)      Code of Ethics

               Not applicable.

(15)      Letter re-unaudited interim financial information

               Not applicable.

(18)      Letter re-change in accounting principles

               Not Applicable.

(19)      Report furnished to security holders

               None.

(22)      Published report regarding matters  submitted  to
          vote of security holders

              None.

(23)      Consents of experts and counsel

              Not applicable.

(24)      Power of Attorney

              Not applicable.

(31)      Rule 13a-14(a)/15d-14(a) Certifications
26
Index to Exhibits (cont.)

(32)      Section 1350 Certifications

(99)      Additional exhibits