24F-2NT

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September 24, 1996



Securities and Exchange Commission
Attention:  Document Control - EDGAR
450 Fifth Street, N.W.
Washington, D.C. 20549-1004

Re:   Rule 24f-2 Notice for
      IDS Money Market Series, Inc.
      SEC File No. 2-54516/811-2591

Commissioners:

[i]   In accordance with the provisions of Rule
      24f-2, IDS Money Market Series, Inc. hereby
      files its Rule 24f-2 Notice for the fiscal
      year ended July 31, 1996 ("Fiscal Year").

[ii]  Amount of securities registered other than
      under 24f-2 which were unsold at the
      beginning of the fiscal year.*                   $124,272,052

[iii] Amount of securities registered during the
      fiscal year other than under 24f-2.**            $          0

[iv]  Amount of securities sold during the fiscal
      year.***                                         $774,099,809

[v]   Amount of securities sold pursuant to 24f-2.     $649,827,757

[vi]  Fee       $649,827,757    /    2900              $ 224,078.54

Enclosed please find an opinion of counsel.  

A check for the filing fee in the amount of $224,078.54 has been
electronically wired.

If there are any questions, please contact the undersigned.

Very truly yours,

IDS MONEY MARKET SERIES, INC.



Leslie L. Ogg
Vice President, General Counsel and Secretary

LLO/TM/rdh

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Securities and Exchange Commission
September 24, 1996

                         IDS Cash Management Fund

    * Shares registered in prior years                  124,272,052

      Share price on 9/11/96                                   1.00
      Value of shares                                   124,272,052

   ** Shares registered in current years                          0

      Share price on 9/11/96                                   1.00
      Value of shares                                             0

  *** Aggregate Sales                                 7,664,993,207

      Aggregate Redemptions                           6,890,893,398
      Securities sold during Fiscal Year                774,099,809

      Fee                                               $224,078.54

EX-99

EXHIBIT INDEX
(b) (10) OPINION OF COUNSEL

EX-99

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September 24, 1996



IDS Money Market Series, Inc.
IDS Tower 10
Minneapolis, Minnesota 55440-0010

Gentlemen:

I have examined the Articles of Incorporation and the By-Laws of
the Company and all necessary certificates, permits, minute books,
documents and records of the Company, and the applicable statutes
of the State of Minnesota, and it is my opinion:

(a)   That the Company is a corporation duly organized and existing
      under the laws of the State of Minnesota with an authorized
      capital stock of 10,000,000,000 shares, all of $.01 par
      value, that such shares may be issued as full or fractional
      shares and that on July 31, 1996, 2,665,310,033 shares were
      issued and outstanding;

(b)   That all such authorized shares are, under the laws of the
      State of Minnesota, redeemable as provided in the Articles of
      Incorporation of the Company and upon redemption shall have
      the status of authorized and unissued shares;

(c)   That the Company registered on September 29, 1978 an
      indefinite number of shares pursuant to Rule 24f-2 and is
      herewith filing a Rule 24f-2 Notice covering the shares sold
      during its Fiscal Period ended July 31, 1996; and

(d)   That shares which were sold at not less than their par value
      and in accordance with applicable federal and state
      securities laws were legally issued, fully paid and
      nonassessable.

I hereby consent that the foregoing opinion may be used in
connection with the Rule 24f-2 Notice.

Very truly yours,



Leslie L. Ogg
Attorney at Law
901 S. Marquette Ave., Suite 2810
Minneapolis, Minnesota 55402-3268