SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 6-K

                        REPORT OF FOREIGN PRIVATE ISSUER
                      Pursuant to Rule 13a-16 or 15d-16 Under
                       the Securities Exchange Act of 1934

                         For the month of May, 2006
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                        Commission File Number 001-13908
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                                  AMVESCAP PLC
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                 (Translation of registrant's name into English)

                 30 Finsbury Square, London EC2A 1AG, ENGLAND
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                    (Address of principal executive offices)


Indicate by check mark whether the registrant files or will file annual reports
under cover Form 20-F or Form 40-F.

                        Form 20-F  X             Form 40-F
                                 -----                    -----

Indicate by check mark if the registrant is submitting the Form 6-K in paper as
permitted by Regulation S-T Rule 101(b)(1):
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Indicate by check mark if the registrant is submitting the Form 6-K in paper as
permitted by Regulation S-T Rule 101(b)(7):
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Indicate by check mark whether by furnishing the information contained in this
Form, the registrant is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                        Yes        No   X
                           -------   -------

If "Yes" is marked, indicate below the file number assigned to the registrant in
connection with Rule 12g3-2(b): 82-     N/A
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Description of document filed:  Monthly Assets Under Management
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For Immediate Release
Contact:                      Aaron Uhde
                              Michael Perman
Phone:                        +1 404 479 2956
                              +44 (0) 207 065 3942



AMVESCAP ANNOUNCES APRIL 30, 2006 ASSETS UNDER MANAGEMENT

London, May 9, 2006 - AMVESCAP today reported preliminary month-end assets
under management of $419.0 billion.  (NYSE: AVZ).





                                                             Ending Assets Under Management
                                                                                                
                             ------------------------------------------------------------------------------------------------
(In billions)                  Apr 30, 2006(a)           Mar 31, 2006              Feb 28, 2006             Jan 31, 2006
                             ---------------------    --------------------    -----------------------    --------------------
Long-Term                           $357.5                  $351.5                    $346.1                   $345.3
Total Money Market (b)               $61.5                   $59.4                     $58.3                    $58.2
                             ---------------------    --------------------    -----------------------    --------------------
                             ---------------------    --------------------    -----------------------    --------------------
Total                               $419.0                  $410.9                    $404.4                   $403.5




(a)    Preliminary - subject to adjustment.
(b)    Total Money Market assets include both retail and institutional money
       market assets. Previously, retail money market assets were shown in the
       Long-Term category. Prior months have been adjusted to reflect this
       change.



                                                                 # # #
AMVESCAP is a leading independent global investment manager, dedicated to
helping people worldwide build their financial security. Operating under the
AIM, AIM Trimark, INVESCO, Invesco Perpetual and Atlantic Trust brands, AMVESCAP
strives to deliver outstanding products and services through a comprehensive
array of enduring investment solutions for our retail, institutional and private
wealth management clients around the world. The company is listed on the London,
New York and Toronto stock exchanges with the symbol "AVZ." Additional
information is available at www.amvescap.com.




                                   SIGNATURES
Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.



                                                AMVESCAP PLC
                                        ------------------------------
                                                (Registrant)



Date  9 May, 2006                   By   /s/  Michael S. Perman
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                                                (Signature)

                                           Michael S. Perman
                                           Company Secretary