Securities and Exchange Commission
                             Washington, D. C. 20549

                                  Schedule 13G
                    Under the Securities Exchange Act of 1934
                               (Amendment No. 1)

                             Waste Management, Inc.
                                  Common Stock
                             CUSIP Number 94106L109

Date of Event Which Requires Filing of this Statement:     December 31, 2004

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

         [ X   ]  Rule 13d-1(b)
         [     ]  Rule 13d-1(c)
         [     ]  Rule 13d-1(d)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

CUSIP No. 94106L109

         1)    Name of reporting person:
                  Legg Mason Funds Management, Inc.
               Tax Identification No.:
                  52-2268681

         2)    Check the appropriate box if a member of a group:
                  a)     x
                  b)     n/a

         3)    SEC use only

         4)    Place of organization:
                  Maryland

Number of shares beneficially owned by each reporting person with:
         5)     Sole voting power:          - 0 -
         6)     Shared voting power:        22,332,039
         7)     Sole dispositive power:     - 0 -
         8)     Shared dispositive power:  22,332,039

         9)     Aggregate amount beneficially owned by each reporting person:
                  22,332,039

         10)    Check if the aggregate amount in row (9) excludes certain shares
                  n/a

         11)    Percent of class represented by amount in row (9):
                  3.90

         12)    Type of reporting person:
                  IA, CO

CUSIP No. 94106L109

         1)   Name of reporting person:
                  Legg Mason Capital Management, Inc.
              Tax Identification No.:
                   52-1268629

         2)   Check the appropriate box if a member of a group:
                  a)     x
                  b)     n/a

         3)    SEC use only

         4)    Place of organization:
                  Maryland

Number of shares beneficially owned by each reporting person with:
         5)     Sole voting power:          - 0 -
         6)     Shared voting power:        11,252,200
         7)     Sole dispositive power:     - 0 -
         8)     Shared dispositive power:   11,252,200

         9)     Aggregate amount beneficially owned by each reporting person:
                  11,252,200

         10)    Check if the aggregate amount in row (9) excludes certain shares
                  n/a

         11)    Percent of class represented by amount in row (9):
                  1.97%

         12)    Type of reporting person:
                  IA, CO

CUSIP No. 9410L109

         1)   Name of reporting person:
                Legg Mason Focus Capital, Inc.
              Tax Identification No.
                52-2311719

         2)   Check the appropriate box if a member of a group:
                   a)    x
                   b)    n/a

         3)   SEC use only

         4)   Place of organization:
                             Maryland

Number of shares beneficially owned by each reporting person with:
         5)   Sole voting power:           - 0 -
         6)   Shared voting power:         33,975
         7)   Sole dispositive power:      - 0 -
         8)   Shared dispositive power:    33,975

         9)   Aggregate amount beneficially owned by each reporting person:
                  33,975

         10)  Check the aggregate amount in row (9) excludes certain shares:
                    n/a

         11)  Percent of class represented by amount in row (9):
                   0.00%

         12)   Type of reporting person:
                    IA,CO

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         Item 1a)     Name of issuer:
                           Waste Management, Inc.

         Item 1b)     Address of issuer's principal executive offices:
                           1001 Fannie Street, Ste. 4000
                           Houston, TX  77002

         Item 2a)    Name of person filing:
                           Legg Mason Funds Management, Inc.
                           Legg Mason Capital Management, Inc.
                           Legg Mason Focus Capital, Inc.

         Item 2b)    Address of  principal business office:
                           100 Light Street
                           Baltimore, MD  21202

         Item 2c)    Citizenship:
                           Legg Mason Funds Management, Inc.
                                    Maryland corporation
                           Legg Mason Capital Management, Inc.
                                    Maryland corporation
                           Legg Mason Focus Capital, Inc.
                                    Maryland corporation

         Item 2d)    Title of class of securities:
                           Common Stock

         Item 2e)    CUSIP number:     94106L109

         Item 3)  If this statement is filed pursuant to Rule 13d-1(b), or
                  13d-2(b), check whether the person filing is a:
         (a)[ ]Broker or dealer under Section 15 of the Act.
         (b)[ ]Bank as defined in Section 3(a)(6) of the Act.
         (c)[ ]Insurance Company as defined in Section 3(a)(6) of the Act.
         (d)[ ]Investment Company registered under Section 8 of the Investment
               Company Act.
         (e)[ ]Investment Adviser registered under Section 203 of the Investment
               Advisers Act of 1940.
         (f)[ ]Employee Benefit Plan, Pension Fund which is subject to ERISA of
               1974 or Endowment Funds; see 240.13d-1(b)(ii)(F).
         (g)[ ]Parent holding company, in accordance with 240.13d-1(b)(ii)(G),
         (h)[X]Group, in accordance with 240.13d-1(b)(1)(ii)(J).

         Item 4)    Ownership:

         (a)     Amount beneficially owned:            33,618,214

,        (b)     Percent of Class:  5.88%

         (c)     Number of shares as to which such person has:
                  (i)     sole power to vote or to direct the vote:
                                    -  0 -
                  (ii)    shared power to vote or to direct the vote:
                                    33,618,214
                  (iii)   sole power to dispose or to direct the disposition of:
                                    - 0 -
                  (iv)   shared power to dispose or to direct the disposition of
                                    33,618,214

         Item 5)  Ownership of Five Percent or less of a class:
                           n/a

         Item 6)  Ownership of more than Five Percent on behalf of another
                  person:

                  Various accounts managed by the investment advisers identified
                  in Item 8 have the right to receive or the power to direct the
                  receipt of dividends from, or the proceeds from the sale of
                  shares of the issuer. No such account holds more than 5% of
                  the shares outstanding.

         Item 7)  Identification and classification of the subsidiary which
                  acquired the security being reported on by the parent holding
                  company:
                         n/a

         Item 8)  Identification and classification of members of the group:
                         Legg Mason Funds Management, Inc.-investment adviser
                         Legg Mason Capital Management, Inc.-investment adviser
                         Legg Mason Focus Capital, Inc.-investment adviser

         Item 9)  Notice of dissolution of group:
                         n/a

         Item 10) Certification:

                  By signing below I certify that, to the best of my knowledge
                  and belief, the securities referred to above were acquired and
                  are held in the ordinary course of business and were not
                  acquired and are not held for the purpose of or with the
                  effect of changing or influencing the control of the issuer of
                  the securities and were not acquired and are not held in
                  connection with or as a participant in any transaction having
                  that purpose or effect.

                                    Signature
                                   -----------

         After reasonable 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.

         --------------------------------
         Date - February 14, 2005

         Legg Mason Funds Management, Inc.


         By___________________________________________
              Jennifer Murphy, Senior Vice President

         Legg Mason Capital Management, Inc.


         By___________________________________________
              Andrew J. Bowden, Senior Vice President

         Legg Mason Focus Capital, Inc.


         By____________________________________________
              Robert G. Hagstrom, President