U.S. SECURITIES AND EXCHANGE COMMISSION
                                WASHINGTON, D.C.

                                   FORM 12b-25

                           NOTIFICATION OF LATE FILING

                                                 SEC FILE NUMBER:   000-14242
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                                                 CUSIP NUMBER:
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[ ] Form 10-K and Form 10-KSB [ ] Form 20-F [ ] Form 11-K [x] Form 10-Q and Form
10-QSB [ ]

         For Period Ended:        March 31, 1999
                          ----------------------------------
         [ ] Transition Report on Form 10-K
         [ ] Transition Report on Form 20-F
         [ ] Transition Report on Form 11-K
         [ ] Transition Report on Form 10-Q
         [ ] Transition Report on Form N-SAR

         For the Transition Period Ended:

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   Read Attached Instruction Sheet Before Preparing Form.  Please Print or Type.
   Nothing  in this form shall be  construed  to imply that the  Commission  has
    verified any information contained herein.
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   If the  notification  relates  to a  portion  of the  filing  checked  above,
identify the Item(s) to which the notification relates:
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Part I - Registrant Information
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         Full Name of Registrant             CELSION CORPORATION
                                 --------------------------------------------
         Former Name if Applicable


         Address of Principal Executive Office (Street and Number)

                            10220-I  Old Columbia Road
         -----------------------------------------------------------------------

         City, State and Zip Code     Columbia, Maryland   21046-1705
                                 -----------------------------------------------



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Part II - Rules 12b-25(b) and (c)
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         If the subject report could not be filed without unreasonable effort or
expense  and  the  registrant  seeks  relief  pursuant  to Rule  12b-25(b),  the
following should be completed. (Check box if appropriate).

         [X]   (a)         The reasons  described in  reasonable  detail in Part
                           III of this  form  could  not be  eliminated  without
                           unreasonable effort or expense;

         [X]   (b)         The  subject  annual  report,   semi-annual   report,
                           transition  report on Form 10-K,  Form 20- F, 11-K or
                           Form N-SAR,  or portion  thereof  will be filed on or
                           before  the  fifteenth  calendar  day  following  the
                           prescribed due date; or the subject  quarterly report
                           or transition report on Form 10-Q, or portion thereof
                           will be filed on or  before  the fifth  calendar  day
                           following the prescribed due date; and

         [ ]   (c)         The accountant's  statement or other exhibit required
                           by Rule 12b-25(c) has been attached if applicable.

Part III - Narrative
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         State  below in  reasonable  detail the  reasons why Form 10-K and Form
10-KSB,  20-F,  11-K, 10-Q and Form 10-QSB,  N-SAR, or the transition  report or
portion thereof could not be filed within the prescribed period.

         The  Registrant   required   additional  time  to  include  information
developed  within  the last two days  concerning  Registrant's  pending  private
placement offering.  Also, the Form 10-Q Report must be reviewed and approved by
two senior officers who were each on out-of-town  business trips during the past
week. It is anticipated that Form 10-Q will be available for filing by May 18 or
19, 1999.

(Attach extra sheets if needed)

Part IV - Other Information
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         (1)     Name and  telephone  number of person to  contact  in regard to
this notification.

                 John Mon, Treasurer                     (410)  290- 5390
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                 (Name)                          (Area Code)  (Telephone Number)

         (2)     Have all other  periodic  reports  required under section 13 or
15(d) of the Securities and Exchange Act of 1934 or section 30 of the Investment
Company Act of 1940 during the  preceding 12 months or for such  shorter  period
that the  registrant  was  required to file such  report(s)  been filed?  If the
answer is no, identify report(s).

                                               [X]  Yes     [ ]  No



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         (3)     Is it  anticipated  that any  significant  change in results of
operations  from the  corresponding  period  for the last  fiscal  year  will be
reflected by the  earnings  statements  to be included in the subject  report or
portion thereof?

                                               [X]  Yes     [ ]  No

                 If so: attach an explanation of the  anticipated  change,  both
narratively and  quantitatively,  and, if  appropriate,  state the reasons why a
reasonable estimate of the results cannot be made.

         As  previously   reported,   Registrant   discontinued   sales  of  its
hyperthermia  equipment in order to  concentrate  on the  development of its new
cancer and BPH treatment  technologies.  Accordingly,  the  Registrant  will not
report any revenues or gross profit for the  three-month  and six-month  periods
ended March 31,  1999,  compared  with  revenues of $110,260 and gross profit of
$64,760 for such  periods in the prior year.  Also,  as a result of its overhead
reduction  measures,  Registrant  will  report a  decrease  in  total  operating
expenses from $1,114,274 and $1,942,176,  respectively,  for the three-month and
six-month   periods  in  1998,  to   approximately   $585,000  and   $1,050,000,
respectively,  for the current three- and six-month periods.  The net loss to be
reported  for the  current  three-month  period  will  accordingly  decrease  to
approximately  $(613,000) from  $(1,057,008) in 1998, and the six-month net loss
will be approximately $(1,057,000) compared to $(1,914,181) in 1998.


                               CELSION CORPORATION
                               -------------------
                  (Name of Registrant as specified in charter)

has  caused  this  notification  to be signed on its  behalf by the  undersigned
thereunto duly authorized.

Date:  May 15, 1999                            By: /s/John Mon
     ----------------                             ------------------------------
                                                       Name: John Mon
                                                       Title:   Treasurer

INSTRUCTION: The form may be signed by an executive officer of the registrant or
by any other duly  authorized  representative.  The name and title of the person
signing  the form  shall  be typed or  printed  beneath  the  signature.  If the
statement is signed on behalf of the registrant by an authorized  representative
(other than an executive officer), evidence of the representative's authority to
sign on behalf of the registrant shall be filed with the form.


                                    ATTENTION

         Intentional  misstatements  or  omissions  of fact  constitute  Federal
Criminal Violations (See 18 U.S.C. 1001).



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