SECURITIES AND EXCHANGE COMMISSION
                              WASHINGTON, DC 20549
                                   ----------
                                   SCHEDULE TO
                                 (Rule 14d-100)
            TENDER OFFER STATEMENT UNDER SECTION 14(d)(1) OR 13(e)(1)
                     OF THE SECURITIES EXCHANGE ACT OF 1934

                                (Amendment No. 1)


                         NATIONAL PROPERTY INVESTORS III
                       (Name of Subject Company (Issuer))


                        AIMCO PROPERTIES, L.P. -- OFFEROR
    (Names of Filing Persons (Identifying Status as Offeror, Issuer or Other
                                    Person))


                                 Patrick J. Foye
                            Executive Vice President
                   Apartment Investment and Management Company
                           Colorado Center, Tower Two
                   2000 South Colorado Boulevard, Suite 2-1000
                             Denver, Colorado 80222
                                 (303) 757-8081
- --------------------------------------------------------------------------------
                 (Name, Address, and Telephone Numbers of Person
  Authorized to Receive Notices and Communications on Behalf of Filing Persons)

                                    Copy To:

                                Gregory M. Chait
                                  Robert Barker
                     Powell, Goldstein, Frazer & Murphy LLP
                   191 Peachtree Street, N.E., Sixteenth Floor
                             Atlanta, Georgia 30303
                                 (404) 572-6600

                            CALCULATION OF FILING FEE

<Table>
<Caption>
Transaction Valuation*                                  Amount of Filing Fee**
- ----------------------                                  ----------------------
                                                     
$1,859,403                                              $171.07
</Table>

*  For purposes of calculating the fee only.
** Previously paid.

   [ ] Check the box if any part of the fee is offset as provided by Rule
   0-11(a)(2) and identify the filing with which the offsetting fee was
   previously paid. Identify the previous filing by registration statement
   number, or the Form or Schedule and the date of its filing.

   Amount Previously Paid:   __________          Filing Party: __________

   Form or Registration No.: __________          Date Filed: ___________

   [ ] Check the box if the filing relates solely to preliminary communications
   made before the commencement of a tender offer.

   Check the appropriate boxes below to designate any transactions to which the
   statement relates:

   [X] third-party tender offer subject    [ ] going-private transaction subject
       to Rule 14d-1.                           to Rule 13e-3.

   [ ] issuer tender offer subject to      [ ] amendment to Schedule 13D under
       Rule 13e-4.                             Rule 13d-2.

   Check the following box if the filing is a final amendment reporting the
   results of the tender offer: [ ]



                             TENDER OFFER STATEMENT

         This Tender Offer Statement on Schedule TO relates to the tender offer
by AIMCO Properties, L.P., a Delaware limited partnership, to purchase
outstanding units of limited partnership interest of National Property Investors
III, a California limited partnership, at a price of $147 per unit in cash,
subject to the conditions set forth in the Offer to Purchase, dated May 13,
2002, and in the related Letter of Transmittal and Acknowledgment and Agreement,
which, as amended and supplemented from time to time, together constitute the
tender offer. Copies of the Offer to Purchase, Letter of Transmittal and
Acknowledgment and Agreement are filed with this Schedule TO as Exhibits 1, 2
and 3, respectively.

         The information in Exhibits 1-3 and 5-8 is incorporated in this
Schedule TO by reference in answer to items 1 through 11 of Schedule TO.

         On May 24, 2002, AIMCO Properties, L.P. mailed a letter to the holders
of units of National Property Investors III. A copy of that letter is filed as
Exhibit 8.

Item 12.   Exhibits.

1         Offer to Purchase limited partnership units of National Property
          Investors III, dated May 13, 2002.

2         Letter of Transmittal and related instructions, dated May 13, 2002
          (included as Annex II to the Offer to Purchase attached as Exhibit
          (1)(a)).

3         Acknowledgement and Agreement, dated May 13, 2002.

4         Letter, dated May 13, 2002, from AIMCO Properties, L.P., to the
          limited partners of National Property Investors III.

5         Third Amended and Restated Credit Agreement (Secured Revolving Credit
          Facility), dated as of November 6, 2001, by and among AIMCO
          Properties, L.P., AIMCO/Bethesda Holdings, Inc., NHP Management
          Company, Bank of America, N.A., Fleet National Bank, and First Union
          National Bank. (Exhibit 10.1 to AIMCO Properties, L.P.'s Quarterly
          Report on Form 10-Q for the quarter ended September 30, 2001, filed on
          November 14, 2001, is incorporated herein by this reference).

6         Annual Report of AIMCO Properties, L.P. for the year ended December
          31, 2001 filed on Form 10-K405 on April 1, 2002 is incorporated herein
          by this reference.

7         Quarterly Report of AIMCO Properties, L.P. for the quarter ended March
          31, 2002, filed on Form 10-Q on May 14, 2002, is incorporated herein
          by this reference.

8         Letter, dated May 24, 2002, from AIMCO Properties, L.P., to the
          limited partners of National Property Investors III.



                                    SIGNATURE

         After due inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

Dated: May 24, 2002
                                          AIMCO PROPERTIES, L.P.

                                          By: AIMCO-GP, INC.
                                                 (General Partner)

                                          By: /s/ Patrick J. Foye
                                              ----------------------------------
                                              Executive Vice President

                                          AIMCO-GP, INC.

                                          By: /s/ Patrick J. Foye
                                              ----------------------------------
                                              Executive Vice President

                                          APARTMENT INVESTMENT
                                          AND MANAGEMENT COMPANY

                                          By: /s/ Patrick J. Foye
                                              ----------------------------------
                                              Executive Vice President



                                  EXHIBIT INDEX


<Table>
<Caption>
EXHIBIT
NUMBER    DESCRIPTION
- -------   -----------
       
1         Offer to Purchase limited partnership units of National Property
          Investors III , dated May 13, 2002.

2         Letter of Transmittal and related instructions, dated May 13, 2002
          (included as Annex II to the Offer to Purchase attached as Exhibit
          (1)(a)).

3         Acknowledgement and Agreement, dated May 13, 2002.

4         Letter, dated May 13, 2002, from AIMCO Properties, L.P., to the
          limited partners of National Property Investors III.

5         Third Amended and Restated Credit Agreement (Secured Revolving Credit
          Facility), dated as of November 6, 2001, by and among AIMCO
          Properties, L.P., AIMCO/Bethesda Holdings, Inc., NHP Management
          Company, Bank of America, N.A., Fleet National Bank, and First Union
          National Bank. (Exhibit 10.1 to AIMCO Properties, L.P.'s Quarterly
          Report on Form 10-Q for the quarter ended September 30, 2001, filed on
          November 14, 2001, is incorporated herein by this reference).

6         Annual Report of AIMCO Properties, L.P. for the year ended December
          31, 2001 filed on Form 10-K405 on April 1, 2002 is incorporated herein
          by this reference.

7         Quarterly Report of AIMCO Properties, L.P. for the quarter ended March
          31, 2002, filed on Form 10-Q on May 14, 2002, is incorporated herein
          by this reference.

8         Letter, dated May 24, 2002, from AIMCO Properties, L.P., to the
          limited partners of National Property Investors III.
</Table>