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 September 30, 1999 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. 0-18314

                     DEAN WITTER PRINCIPAL PLUS FUND L.P.
     (Exact name of registrant as specified in its charter)


          Delaware                              13-3541588
(State or other jurisdiction of              (I.R.S. Employer
incorporation  or organization)                    Identification
No.)

c/o Demeter Management Corporation
Two World Trade Center, 62 Fl., New York, NY             10048
(Address of principal executive offices)               (Zip Code)

Registrant's telephone number, including area code (212) 392-5454


(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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              DEAN WITTER PRINCIPAL PLUS FUND L.P.

             INDEX TO QUARTERLY REPORT ON FORM 10-Q

                       September 30, 1999

<CAPTION>

PART I. FINANCIAL INFORMATION
<S>                                                           <C>
   Item 1.  Consolidated Financial Statements

     Consolidated Statements of Financial Condition
     September 30, 1999 (Unaudited) and December 31, 1998.......2

     Consolidated Statements of Operations for the
     Quarters Ended September 30, 1999 and 1998 (Unaudited)....3
     Consolidated Statements of Operations for the Nine
     Months Ended September 30, 1999 and 1998 (Unaudited).......4

     Consolidated Statements of Changes in Partners'
     Capital for the Nine Months Ended Sepember 30, 1999 and
     1998 (Unaudited).......................................... 5

     Consolidated Statements of Cash Flows for the
     Nine Months Ended September 30, 1999 and 1998
     (Unaudited)................................................6

     Notes to Consolidated Financial Statements
     (Unaudited).............................................7-12

   Item 2.  Management's Discussion and Analysis
            of Financial Condition and Results of
            Operations..................................... 13-23

   Item 3.  Quantitative and Qualitative Disclosures
            about Market Risk...............................23-35

PART II. OTHER INFORMATION

   Item 1.  Legal Proceedings...............................   36

            Item  6.  Exhibits  and Reports on  Form  8-K........
            .......... 36


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                 PART I.  FINANCIAL INFORMATION

Item 1.  Consolidated Financial Statements

              DEAN WITTER PRINCIPAL PLUS FUND L.P.
         CONSOLIDATED STATEMENTS OF FINANCIAL CONDITION
<CAPTION>
                                   September 30,   December 31,
                                        1999           1998
                                         $              $
                                    (Unaudited)
ASSETS
<S>                                  <C>             <C>
Equity in futures interests trading accounts:
 Cash                             7,371,736       9,270,594
    Net   unrealized   gain   on   open   contracts        45,417
1,200,707



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