INVESCO MONEY MARKET FUNDS INC
N-30D, 1996-07-26
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ANNUAL REPORT


May 31, 1996


INVESCO
MONEY
MARKET
FUNDS, INC.


Cash Reserves Fund
U.S. Government Money Fund
Tax-Free Money Fund


Smart Choices
For Seeking Liquidity
And Safety


INVESCO FUNDS


<PAGE>



Graph:      Gross Domestic Product
            Quarterly Growth Rate (Annualized)

      This bar graph  illustrates the annualized  quarterly  growth rate for the
      Gross  Domestic  Product,  for the period  from the first  quarter of 1992
      through the second quarter of 1996.

Economic Overview                                                      June 1996
     The U.S.  economy is sending mixed  signals.  In recent  months,  inflation
accelerated  modestly and the U.S. trade deficit  remained high. On the positive
side, recent figures for factory orders,  inventories,  and consumer  confidence
were encouraging.  Gains have also been seen for employment and personal income.
     Overall,  this  mix of good and bad news has  brightened  the  outlook  for
gentle rises in Gross Domestic  Product.  First quarter GDP growth was estimated
at an annualized 2.2%, and second quarter should come in stronger.  There is the
possibility  that the Fed will  tighten  credit by raising  short-term  interest
rates, in the event the economy appears to be overheating.
      As this report was written,  the yield on the benchmark  30-year  Treasury
bond stood  around 7%. This is  substantially  higher that one year ago, and the
fixed-income  markets have been  understandably  turbulent as prices dropped and
yields rose.
      Nonetheless,  taking all of the above and additional factors into account,
the INVESCO  forecast  remains  consistent with our message for the past several
months: The soft landing for the economy appears intact.
      This may well mean moderate  inflation and long-term  gains for stocks and
bonds, albeit with short-term volatility.  Political complications, the on-going
budget conflict,  and major corporate earnings  disappointments  would, however,
put strain on the bull market's legs.

Fund Management
      Since 1993,  U.S.  Government  Money Fund and Cash Reserves Fund have been
managed by INVESCO Vice President Richard R. Hinderlie.  He began his investment
career in 1973,  and has  extensive  experience  in  fixed-income  analysis  and
portfolio management. Dick received his MBA from Arizona State University and BA
in economics from Pacific Lutheran University.  He is also co-manager of INVESCO
Short-Term Bond Fund.
      Ingeborg S. Cosby has managed Tax-Free Money Fund since 1992. She launched
her  investment  career in 1982 as a  portfolio  manager  assistant  with  First
Affiliated Securities.  Inge joined INVESCO's  fixed-income  management group in
1985.

U.S. Government Money Fund
      U.S.  Government  Money Fund is our highest  quality money market fund. It
invests only in debt obligations issued or guaranteed by the U.S.  government or
its agencies  which mature in 365 days or less from the date they are  purchased
for the portfolio,  as well as repurchase  agreements  involving  government and
government agency obligations.  Fund shares are neither issued nor guaranteed by
the U.S.  government.  We expect that the fund's shares will always be valued at
$1, but this cannot be guaranteed.


<PAGE>

      As of 5/31/96, the fund was invested in the following
short-term securities.(1)

Graph:
      This pie chart shows the allocation of investments for the U.S. Government
      Money Fund in short-term  securities for each of the following categories:
      Government Agency Obligations - 90.3%,  Repurchase  Agreements - 6.1%, Net
      Cash - 3.6%.

Cash Reserves Fund
      Compared to U.S.  Government Money Fund, Cash Reserves Fund seeks a higher
level of daily income (paid monthly)  through  investments in a broader range of
short-term  obligations.  In addition to obligations issued or guaranteed by the
U.S.  government,  Cash Reserves Fund may also invest in high quality commercial
paper (short-term debt issued by  corporations);  certificates of deposit issued
by banks;  and in  corporate  bonds which will mature 375 days or less after the
fund purchases  them.  Fund shares are neither issued nor guaranteed by the U.S.
government.  We expect  that the fund's  shares will always be valued at $1, but
this cannot be guaranteed.
      As of 5/31/96,  Cash Reserves  Fund was invested in short-term  securities
with the following short-term securities.(1)

Graph:
      This pie chart shows the allocation of investments for the
      Cash Reserves Fund in short-term securities for each of the
      following categories:  Government Agency - 12.0%, First Tier -
       87.8%, Net Cash -- not rated - .2%.

Tax-Free Money Fund
      Tax-Free  Money Fund seeks high daily income  exempt from  federal  income
taxes.  The fund invests only in bonds or notes rated in the two highest quality
categories by Moody's or Standard & Poor's.  Fund shares are neither  issued nor
guaranteed by the U.S. government.  We expect that the fund's shares will always
be valued at $1, but this cannot be guaranteed.
      As of 5/31/96, the fund was invested in short-term securities
with the following quality ratings.(1)

Graph:
      This pie chart shows the allocation of investments  for the Tax-Free Money
      Fund in short-term securities for each of the following categories:  First
      Tier - 98.3%, Second Tier - 9.0%, Net Cash -- not rated - -7.3%.

(1)   Ratings are provided by Moody's or Standard & Poor's.
      Holdings and composition of holdings are subject to change.


<PAGE>



Statement of Investment Securities
May 31, 1996
<TABLE>
<CAPTION>
                                                Effective
                                                 Interest         Principal
Description                                        Rate %            Amount             Value
- ---------------------------------------------------------------------------------------------
<S>                                              <C>         <C>               <C>       
CASH RESERVES Fund
SHORT-TERM INVESTMENTS 100.00%
US Government Agency Obligations 11.97%
Federal National Mortgage Association,
   12/26/1996                                        5.42        $5,000,000        $4,997,322
Small Business Administration,
   Guaranteed Loan Pool Certificates
   1/25/2018~                                        6.13         3,056,165         3,056,165
   3/25/2018~                                        6.13         3,499,478         3,499,478
Student Loan Marketing Association
   11/24/1997~                                       5.35        20,000,000        19,966,881
   11/10/1998~                                       5.35         1,000,000         1,000,000
   1/13/1999~                                        5.37        25,000,000        25,000,000
   2/8/1999~                                         5.37        12,750,000        12,750,000
                                                                                 ------------
TOTAL US GOVERNMENT AGENCY OBLIGATIONS
   (Cost $70,269,846)                                                              70,269,846
                                                                                 ============
Commercial Paper 88.03%
AEROSPACE & DEFENSE 4.92%
Raytheon Co, 7/2/1996                                5.39        29,000,000        28,867,897
                                                                                 ------------
BUILDING & CONSTRUCTION PRODUCTS 3.37%
Weyerhaeuser Co, 8/15/1996                           5.41        20,000,000        19,780,417
                                                                                 ------------
Captive Finance 21.80%
AUTOMOBILE RELATED 4.24%
General Motors Acceptance
   6/19/1996                                         5.37         6,500,000         6,482,840
   6/28/1996                                         5.50         3,500,000         3,485,956
   6/28/1996                                         5.47        15,000,000        14,940,150
                                                                                 ------------
                                                                                   24,908,946
                                                                                 ------------
FINANCIAL SERVICES 5.11%
American Express Credit 6/4/1996                     5.33        25,000,000        25,000,000
   6/18/1996                                         5.37         5,000,000         5,000,000
                                                                                 ------------
                                                                                   30,000,000
                                                                                 ------------
LEASING COMPANIES 2.20%
USL Capital, 7/8/1996                                5.41        13,000,000        12,929,186
                                                                                 ------------
MACHINERY 1.79%
Deere (John) Capital, 8/15/1996                      5.43        10,500,000        10,500,000
                                                                                 ------------



<PAGE>



RETAIL 6.85%
Penney (JC) Funding, 6/19/1996                       5.40        10,000,000         9,973,550
Sears Roebuck Acceptance 6/10/1996                   5.43         3,850,000         3,850,000
   6/14/1996                                         5.37         3,000,000         3,000,000
   6/17/1996                                         5.45        18,400,000        18,400,000
   6/18/1996                                         5.39         5,000,000         5,000,000
                                                                                 ------------
                                                                                   40,223,550
                                                                                 ------------
TOBACCO 0.76%
BAT Capital, 6/20/1996                               5.42         4,500,000         4,487,413
                                                                                 ------------
UTILITIES 0.85%
CSW Credit, 6/26/1996                                5.38         5,000,000         4,981,667
                                                                                 ------------
   TOTAL CAPTIVE FINANCE                                                          128,030,762
                                                                                 ------------
CHEMICALS 3.81%
Akzo Nobel NV 6/3/1996                               5.40         5,200,000         5,198,467
   6/20/1996                                         5.42        17,200,000        17,152,070
                                                                                 ------------
                                                                                   22,350,537
                                                                                 ------------
COMMERCIAL FINANCE 7.21%
International Lease Finance
   6/7/1996                                          5.44        22,900,000        22,879,696
   6/24/1996                                         5.39         7,500,000         7,474,748
National Rural Utilities
   Cooperative Finance 6/5/1996                      5.41         7,000,000         6,995,893
   6/25/1996                                         5.38         5,000,000         4,982,433
                                                                                 ------------
                                                                                   42,332,770
                                                                                 ------------
CONSUMER FINANCE 9.18%
Beneficial Corp, 6/6/1996                            5.36        10,000,000        10,000,000
Household Finance, 7/5/1996                          5.38        14,000,000        14,000,000
New Center Asset Trust
   6/19/1996                                         5.35         2,500,000         2,493,425
   6/26/1996                                         5.38        20,000,000        19,926,667
   6/28/1996                                         5.42         7,500,000         7,470,356
                                                                                 ------------
                                                                                   53,890,448
                                                                                 ------------
DIVERSIFIED COMPANIES 1.70%
General Electric, 6/21/1996                          5.42        10,000,000        10,000,000
                                                                                 ------------
DIVERSIFIED FINANCE 8.08%
Associates Corp of North America,
   6/3/1996                                          5.45        16,450,000        16,450,000
General Electric Capital
   6/24/1996                                         5.44        15,000,000        15,000,000
   8/15/1996                                         5.44        10,000,000        10,000,000
   8/15/1996                                         5.41         6,000,000         6,000,000
                                                                                 ------------
                                                                                   47,450,000
                                                                                 ------------


<PAGE>



ELECTRONICS 3.68%
Motorola Inc 6/18/1996                               5.35         6,700,000         6,683,358
   6/27/1996                                         5.36        15,000,000        14,942,908
                                                                                 ------------
                                                                                   21,626,266
                                                                                 ------------
INVESTMENT BROKERS 10.02%
Goldman Sachs Group LP, 6/14/1996                    5.40        12,000,000        11,977,250
Merrill Lynch & Co 6/5/1996                          5.39         9,000,000         8,994,750
   6/28/1996                                         5.47        10,000,000         9,960,025
Morgan Stanley Group  6/6/1996                       5.37        14,000,000        13,989,714
   6/27/1996                                         5.45        14,000,000        13,946,411
                                                                                 ------------
                                                                                   58,868,150
                                                                                 ------------
LEASING COMPANIES 6.72%
Hertz Corp 6/10/1996                                 5.40         8,000,000         8,000,000
   6/11/1996                                         5.34         2,000,000         2,000,000
   6/25/1996                                         5.39        20,000,000        20,000,000
PHH Corp, 6/21/1996                                  5.38         9,500,000         9,472,133
                                                                                 ------------
                                                                                   39,472,133
                                                                                 ------------
MACHINERY 3.07%
Deere & Co, 6/27/1996                                5.37        18,000,000        18,000,000
                                                                                 ------------
MORTGAGE BANKING 4.47%
Weyerhaeuser Mortgage 6/13/1996                      5.36         3,860,000         3,853,219
   6/25/1996                                         5.38         7,500,000         7,473,600
   6/25/1996                                         5.36        15,000,000        14,947,300
                                                                                 ------------
                                                                                   26,274,119
                                                                                 ------------
TOTAL COMMERCIAL PAPER
   (Cost $516,943,499)                                                            516,943,499
                                                                                 ------------
TOTAL INVESTMENT SECURITIES
   AT VALUE 100.00%
   (Cost $587,213,345#)                                                           587,213,345
                                                                                 ============

TAX-FREE MONEY Fund
SHORT-TERM INVESTMENTS 100.00%
ALASKA 3.86%
Alaska Indl Dev & Export Auth
   (Spenard Bldrs Supply Proj), VRD Rev,
   Composite Ref Issue, Lot 1, 12/1/1996             3.64           895,000           895,000
Alaska Muni Bd Bank, FR, Gen Oblig,
   1996 Series A, 3/1/1997                           3.24           395,000           401,338
Anchorage, Alaska, FR, Sr Lien Ref
   Elec Rev, 1986 Series A, 6/1/1996                 4.00           620,000           632,400
North Slope Borough, Alaska, FR,
   Gen Oblig, Series 1992A, 6/30/1996                3.49           205,000           205,158
                                                                                 ------------
                                                                                    2,133,896
                                                                                 ------------


<PAGE>



ARIZONA 2.95%
Maricopa Cnty Indl Dev Auth, Arizona
   (Samaritan Hlth Svc Hosp System), VRD,
   Rev Ref, Series 1985B 2, 12/1/2008~               3.69         1,400,000         1,400,000
Univ of Arizona Fndtn, FR, Ref Ctfs of
   Participation, Series 8, 8/1/1996                 3.40           230,000           230,000
                                                                                 ------------
                                                                                    1,630,000
                                                                                 ------------
ARKANSAS 2.15%
Craighead Cnty Jonesboro School
   Dist #1, Arkansas, FR, Constr,
   Series 1996, 6/1/1996                             3.81           215,000           215,000
Crossett, Arkansas
   (Georgia-Pac Corp Proj),
   A/FR, PCR Ref, Series 1991,
   10/1/1998~                                        3.59           500,000           500,000
Little Rock, Arkansas, FR, Airport
   Passenger Facil Charge Rev,
   Series 1996, 5/1/1997~~                           4.19           475,000           475,000
                                                                                 ------------
                                                                                    1,190,000
                                                                                 ------------
CALIFORNIA 0.18%
Los Angeles Regl Airports Impt,
   California (American Airlines/
   Los Angeles Intl Airport),
   Facils Sublease FDR, Issue 1984,
   12/1/2025~                                        3.64           100,000           100,000
                                                                                 ------------
FLORIDA 6.85%
Broward Cnty, Florida, FR,
   Pub Impt Ref, Series 1986, 7/1/1996               3.74           250,000           255,830
Dade Cnty, Florida, FR,
   Aviation Rev Ref, Series 1995A,
   10/1/1996                                         3.69           500,000           501,866
Dade Cnty, Florida, FR, Wtr & Swr
   System Rev Ref, Series 1993,
   10/1/1996                                         3.69           300,000           300,756
Flagler Cnty School Dist, Florida,
   FR, Gen Oblig Ref, Series 1992,
   9/1/1996                                          3.42           225,000           225,687
Florida Dept of Nat Resources, FR,
   Save Our Coast Rev, Series 1985G,
   7/1/1996                                          3.79           300,000           307,218
Putnam Cnty Dev Auth, Florida
   (Seminole Elec Cooperative Proj),
   A/FR, PCR, Series 1984D, 12/15/2009~              3.29         1,000,000         1,000,000
St Lucie Cnty, Florida
   (Savannah Hosp Proj), FRD, IDR,
   Series 1985, 11/1/2015~                           3.74           935,000           935,000
Venice, Florida, FR, Cap Impt Rev,
   Series 1988, 11/1/1996                            3.49           250,000           259,051
                                                                                 ------------
                                                                                    3,785,408
                                                                                 ------------


<PAGE>



GEORGIA 11.57%
Burke Cnty Dev Auth, Georgia
   (Oglethorpe Pwr Vogtle Proj), ATS,
   PCR, Series 1994A, 1/1/2016~                      3.94         2,300,000         2,300,000
DeKalb Cnty Hosp Auth, Georgia
   (DeKalb Med Ctr Proj), VR, RAC,
   Series 1993B, 9/1/2009~                           3.59         1,345,000         1,345,000
DeKalb Private Hosp Auth, Georgia
   (Egelston Children's Hosp at Emory
   Univ Proj), VRD, RAC, Series 1994B,
   12/1/2017~                                        3.49           500,000           500,000
Macon-Bibb Cnty Hosp Auth, Georgia
   (Med Ctr of Cent Georgia),
   AR, RAC, Series 1994, 4/1/2007~                   3.59         1,745,000         1,745,000
Savannah Econ Dev Auth, Georgia
   (Home Depot Proj), AR, Exmp
   Facil Rev, Series 1995B, 8/1/2025~                3.69           500,000           500,000
                                                                                 ------------
                                                                                    6,390,000
                                                                                 ------------
HAWAII 0.92%
Hawaii, FR, Gen Oblig, 1986 Series BF,
   8/1/1996                                          3.41           500,000           510,341
                                                                                 ------------
ILLINOIS 8.18%
Chicago, Illinois, AR, Gen Oblig
   Tender Nts, Series 1995A, 10/31/1996              3.64           500,000           500,000
Chicago Pub Bldg Commn, Illinois
   (Chicago Brd of Ed), FR, Bldg Rev,
   Series 1993A, 12/1/1996                           3.60           400,000           400,775
Chicago School Fin Auth, Illinois,
   Gen Oblig School Assistance,
   Ref, Series 1986B, 6/1/1996                       3.75           500,000           510,000
Illinois Dev Fin Auth
   (6 West Hubbard Street Proj),
   F/FR, IDR, Series 1986, 12/1/2016~                3.99           905,000           905,000
Illinois Dev Fin Auth (Kindlon
   Partners Proj), Indl Proj Rev,
   FR, Series 1994, 3/1/2009~                        3.84         1,300,000         1,300,000
  VR, Series 1991, 5/1/2006~                         3.84           900,000           900,000
                                                                                 ------------
                                                                                    4,515,775
                                                                                 ------------
INDIANA 7.24%
Daviess Cnty, Indiana (Perdue Farms/
   Shenandoah Valley Farms Facil),
   V/FRD, Econ Dev Rev, 1987 Issue,
   9/1/2007~                                         3.59         1,500,000         1,500,000
Gary, Indiana (US Steel Proj), FRD,
   Environmental Impt Rev Ref,
   Series 1984, 7/15/2002~                           3.84         1,000,000         1,000,000
Indiana Transn Fin Auth, FR, Hwy Rev,
   Series 1993A, 6/1/1996                            3.79         1,000,000         1,000,000



<PAGE>



Newton Cnty, Indiana (Intec Group
   Proj), A/FR, Econ Dev Rev,
   Series 1994, 9/1/2010~                            3.84           500,000           500,000
                                                                                 ------------
                                                                                    4,000,000
                                                                                 ------------
KANSAS 2.89% Fairway, Kansas (Nichols (J C)
   Co Proj), FRD, Indl Rev,
   Series 1984, 11/1/2014~                           3.89           500,000           500,000
Johnson Cnty, Kansas, FR, Gen Oblig,
   Series 1981, 9/1/1996                             3.98           193,000           196,250
Kansas City, Kansas (PQ Corp Proj),
   AR, Indl Rev, Series 1985, 8/1/2015~              3.69           400,000           400,000
Shawnee, Kansas (Hampton Woods Apts
   Proj), F/FR, Multifamily Hsg Rev,
   Series 1985, 12/1/2009~+                          3.74           500,000           500,000
                                                                                 ------------
                                                                                    1,596,250
                                                                                 ------------
LOUISIANA 3.89%
Louisiana, FR, Gen Oblig Ref,
   Series 1996-A, 8/1/1996~~                         3.50         1,000,000         1,000,000
Louisiana Pub Facils Auth
   (Louisiana Dept of Hlth & Hosps
   Med Ctr of Lousiana at New
   Orleans Proj), FR, Rev, Series 1992,
   10/15/1996                                        3.47           250,000           251,150
Plaquemines Port Harbor & Terminal
   Dist, Louisiana (Chevron Pipe Line
   Proj), AR, Port Facils Rev,
   Series 1984, 9/1/2008~                            3.87           400,000           400,000
Plaquemines Port Harbor & Terminal
   Dist, Louisiana (Intl Marine
   Terminals Proj), ATS, Port
   Facils Rev Ref, Series 1984 B,
   3/15/2006~                                        3.22           500,000           500,000
                                                                                 ------------
                                                                                    2,151,150
                                                                                 ------------
MICHIGAN 1.08%
Michigan Strategic Fund (
   United Fixtures Proj), AR,
   Ltd Oblig Rev, Series 1995, 5/1/2015~             3.74           595,000           595,000
                                                                                 ------------
MINNESOTA 0.91%
Rochester, Minnesota (Mayo Fndtn/
   Mayo Med Ctr), ATS, Hlth Care
   Facils Rev, TECP, Series 1992 A,
   8/20/1996                                         3.54           500,000           500,000
                                                                                 ------------



<PAGE>



MISSISSIPPI 0.91%
Jackson Cnty Wtr System, Mississippi
   (Chevron Corp), VR, Gen Oblig Ref,
   Series 1994, 11/1/2024~                           3.31           500,000           500,000
                                                                                 ------------
MISSOURI 2.72%
Columbia, Missouri, VR, Special Oblig
   Ins Reserve, Series 1988 A,
   6/1/2008~+                                        3.59         1,500,000         1,500,000
                                                                                 ------------
NEBRASKA 0.91%
Hamilton Cnty, Nebraska (Iams Co Proj),
   VR, IDR Ref, Series 1990, 7/1/2005~               3.75           500,000           500,000
                                                                                 ------------
NEVADA 2.40%
Clark Cnty, Nevada, AR, Airport
   System Ref Rev, Series 1993A,
   7/1/2012~                                         3.49         1,000,000         1,000,000
Incline Vlg Gen Impt Dist, Nevada,
   FR, Gen Oblig, Recreational
   Facils Impt & Ref, Series
   October 1, 1995, 9/1/1996                         3.81           325,000           325,909
                                                                                 ------------
                                                                                    1,325,909
                                                                                 ------------
NEW JERSEY 4.16%
New Jersey Econ Dev Auth (Genlyte
   Camden Cnty Proj), AR, IDR Ref,
   Series 1990, 12/19/2009~                          4.04         2,300,000         2,300,000
                                                                                 ------------
NEW YORK 0.91%
New York Energy Research & Dev Auth
   (New York Elec & Gas), AR, PCR,
   Series 1985 B, 10/15/2015~                        3.52           500,000           500,581
                                                                                 ------------
OKLAHOMA 2.52%
Mustang Impt Auth, Oklahoma, FR,
   Ref Rev, Series 1995, 12/1/1996                   3.78           395,000           395,000
Oklahoma Inds Auth (St Anthony
   Physicians Bldg Proj), VR,
   Med Practice Facil Rev, Series 1986,
   6/1/2016~                                         3.64         1,000,000         1,000,000
                                                                                 ------------
                                                                                    1,395,000
                                                                                 ------------
OREGON 0.72%
Oregon Dept of Admin Svcs, FR, Ctfs
   of Participation, 1995
   Series A, 11/1/1996                               3.70           400,000           400,000
                                                                                 ------------



<PAGE>



PENNSYLVANIA 1.81%
Delaware Cnty Indl Dev Auth,
   Pennsylvania (Resource Recovery
   Proj), AR, Ref Rev,
   Series 1993 G, 12/1/2013~                         3.56         1,000,000         1,002,425
                                                                                 ------------
SOUTH CAROLINA 2.31%
Anderson Cnty, South Carolina
   (Belton Inds Proj), AR,
   Indl Rev, Series 1991A, 7/1/2004~                 3.90           785,000           785,000
York Cnty, South Carolina (North
   Carolina Elec Membership Proj),
   F/FR, PCR, Series 1984N-4,
   9/15/2014~                                        3.22           490,000           490,000
                                                                                 ------------
                                                                                    1,275,000
                                                                                 ------------
TENNESSEE 3.17%
Chattanooga, Tennessee, FR, Gen
   Oblig Swr & Sewage Facils,
   Series 1995, 6/1/1996                             3.79           445,000           445,000
Greenville Hlth & Edl Facils Brd,
   Tennessee (Laughlin Memorial
   Hosp Proj), VRD Rev, Series 1992,
   10/1/2014~                                        3.64         1,000,000         1,000,000
Metro Govt of Nashville & Davidson
   Cnty, Tennessee, FR, Gen Oblig Ref,
   Series 1986, 6/15/1996                            3.74           300,000           306,299
                                                                                 ------------
                                                                                    1,751,299
                                                                                 ------------
TEXAS 16.17%
Bedford, Texas (Tarrant Cnty),
   FR, Gen Oblig, Series 1996,
   2/1/1997~~                                        3.51           265,000           265,000
Birdville Indpt School Dist, Texas,
   FR, Unltd Tax School Bldg,
   Series 1988, 8/15/1996                            3.32           350,000           353,433
Burleson Indpt School Dist (Johnson &
   Tarrant Cntys), Texas, FR,
   Unltd Tax Ref, Series 1995,
   8/1/1996                                          3.76           605,000           605,000
Crawford Indl Dev Corp, Texas
   (Franklin Inds Proj), VR, IDR,
   Series 1987, 10/1/2012~                           3.84         1,900,000         1,900,000
Denton, Texas (Denton Cnty), FR, Util
   System Rev, Series 1996, 12/1/1996~~              3.81           700,000           712,383
Eanes Indpt School Dist, Texas, FR,
   Unltd Tax Ref, Series 1992, 8/15/1996             3.39           320,000           320,477
Eanes Indpt School Dist, Texas, FR,
   Unltd Tax Ref, Series 1992, 8/15/1996             3.32           500,000           500,742
Galveston Cnty Wtr Auth, Texas
   (Mainland Proj), FR, Rev,
   Series 1985, 7/10/1996                            3.78           250,000           251,339


<PAGE>



Grapevine Indl Dev, Texas (American
   Airlines Proj), VR, Multiple
   Mode Rev, 1984 Series A-3, 12/1/2024~             3.64           600,000           600,000
Houston, Texas, FR, Exchangeable
   Prior Lien Wtr & Swr System Rev,
   Series 1986, 12/1/1996                            6.47           300,000           395,949
Houston, Texas, FR, Prior Lien Wtr
   System Rev, Series 1986, 12/1/1996                3.27           380,000           309,333
Keller Indpt School Dist, Texas, FR,
   Gen Oblig, Series 1986, 8/15/1996                 3.51           500,000           504,996
Little Elm Indpt School Dist, Texas
   (Denton Cnty), Unlt Tax Ref,
   Series 1995A, 8/15/1996                           3.70           305,000           305,000
Sherman Indpt School Dist, Texas, FR,
   Unltd Tax Ref, Series 1996,
   8/15/1996                                         3.23           295,000           295,000
Texas, TRAN, FR, Series 1995A,
   8/30/1996                                         3.99           500,000           500,888
   8/30/1996                                         3.81           350,000           350,776
   8/30/1996                                         3.35           400,000           401,368
Texas Pub Fin Auth, FR, Gen Oblig,
   Series 1993A, 10/1/1996                           3.41           355,000           360,321
                                                                                 ------------
                                                                                    8,932,005
                                                                                 ------------
UTAH 4.59%
Granite School Dist Ed Brd, Utah
   (Salt Lake Cnty), FR, Gen Oblig Ref,
   Series 1992, 6/1/1996                             3.79           625,000           625,000
Salt Lake City, Utah (Salt Lake Cnty),
   FR, Gen Oblig Airport, Series 1975,
   7/1/1996                                          3.66           200,000           200,440
Salt Lake City, Utah (Salt Lake Cnty),
   FR, Gen Oblig Pub Bldg, Series 1986,
   6/15/1996                                         3.39         1,000,000         1,011,453
Tremonton City, Box Elder Cnty, Utah
   (La-Z-Boy Chair Proj), VRD, IDR,
   Series 1990, 6/1/2000~                            4.04           700,000           700,000
                                                                                 ------------
                                                                                    2,536,893
                                                                                 ------------
VIRGINIA 0.91%
Chesterfield Cnty Indl Dev Auth,
   Virginia (Philip Morris Proj), AR,
   PCR Ref, Series 1992, 4/1/2009~+                  3.59           500,000           500,000
                                                                                 ------------
WASHINGTON 2.21%
Washington, FR, Gen Oblig Ref,
   Series 1982, 10/1/1996                            3.58           500,000           510,391
   Series 1988, 12/1/1996                            3.68           200,000           203,199
   Series R-86D, 9/1/1996                            3.74           500,000           505,134
                                                                                 ------------
                                                                                    1,218,724
                                                                                 ------------


<PAGE>



WISCONSIN 0.91%
Janesville, Wisconsin
   (Freedom Plastics Proj), AR, IDR,
   Series 1995, 11/1/2005~                           3.84           500,000           500,000
                                                                                 ------------
TOTAL INVESTMENT SECURITIES
   AT VALUE 100.00%
   (Cost $55,235,656#)                                                             55,235,656
                                                                                 ============

U.S. GOVERNMENT MONEY Fund
SHORT-TERM INVESTMENTS 100.00%
US Government Agency Obligations 93.68%
Federal Home Loan Bank
   8/5/1996                                          5.43         8,590,000         8,600,295
   9/25/1996                                         5.63           500,000           503,995
   10/25/1996                                        5.52           500,000           502,982
   11/22/1996                                        5.51           500,000           503,622
   12/11/1996                                        5.61           500,000           499,149
Federal Home Loan Mortgage
   6/3/1996                                          5.28         2,860,000         2,859,174
   6/11/1996                                         5.30        10,000,000         9,985,667
   6/20/1996                                         5.33         6,527,000         6,509,121
   6/28/1996                                         5.36         7,500,000         7,470,469
   6/28/1996                                         5.29        15,000,000        14,941,500
Federal National Mortgage Association
   6/10/1996                                         5.74         3,500,000         3,502,340
   6/11/1996                                         5.29         3,000,000         2,995,667
   8/12/1996                                         5.65         2,300,000         2,311,059
   12/10/1996                                        5.50           500,000           505,449
   12/26/1996                                        5.42         5,020,000         5,017,311
Student Loan Marketing Association
   1/13/1999~                                        5.36         5,000,000         5,000,000
                                                                                 ------------
TOTAL US GOVERNMENT AGENCY OBLIGATIONS
   (Cost $71,707,800)                                                              71,707,800
                                                                                 ------------
Repurchase Agreements 6.32%
Repurchase Agreement with State
   Street Bank & Trust Co dated 5/31/1996
   due 6/3/1996 at 5.230%, repurchased at
   $4,840,109  (Collateralized by US Treasury
   Bonds due  11/15/2015 at 9.875%,
   value $4,922,419)
   (Cost $4,838,000)                                                                4,838,000
                                                                                 ------------
                                                                                    4,838,000
                                                                                 ------------
TOTAL INVESTMENT SECURITIES
   AT VALUE 100.00%
   (Cost $76,545,800#)                                                             76,545,800
                                                                                 ------------



<PAGE>


<FN>
The following abbreviations may be used in portfolio descriptions:
A/FR*                - Adjustable/Fixed Rate
ACES*                - Adjustable Convertible Extendable Securities
AR*                  - Adjustable Rate
ARD*                 - Adjustable Rate Demand
ATS*                 - Adjustable Tender Securities
BAN                  - Bond Anticipation Notes
DATES*               - Daily Adjustable Tax-Exempt Securities
FDR*                 - Flexible Demand Revenue
F/FR                 - Floating/Fixed Rate
FR                   - Fixed Rate
FRD*                 - Floating Rate Demand
GAN                  - Grant Anticipation Notes
IDR                  - Industrial Development Revenue
MAVRIC*              - Multi-Mode and Variable Rate Investment Certificate
PCR                  - Pollution Control Revenue
RAN                  - Revenue Anticipation Notes
RAC                  - Revenue Anticipation Certificates
TAN                  - Tax Anticipation Notes
TEAMS*               - Tax-Exempt Adjustable Mode Securities
TECP                 - Tax-Exempt Commercial Paper
TRAN                 - Tax & Revenue Anticipation Notes
UPDATES*             - Unit Priced Demand Tax-Exempt Securities
V/FRD*               - Variable/Fixed Rate Demand
VR*                  - Variable Rate
VRD*                 - Variable Rate Demand

* Rate is subject to change.  Rate shown reflects current rate.

~ All  securities  with a  maturity  date  greater  than one year have  either a
variable  rate,  demand  feature,  optional or  mandatory  put  resulting  in an
effective maturity of one year or less. Rate shown reflects current rate.

# Also represents cost for income tax purposes.

~~ Security is a when-issued security.

+ Security has been designated as collateral for when-issued securities.
</FN>
</TABLE>

See Notes to Financial Statements




<PAGE>



INVESCO Money Market Funds, Inc.
Statement of Assets and Liabilities
May 31, 1996
<TABLE>
<CAPTION>
                                                     Cash          Tax-Free              U.S.
                                                 Reserves             Money        Government
                                                     Fund              Fund        Money Fund
                                            -------------------------------------------------
<S>                                          <C>                <C>               <C>        
ASSETS
Investment Securities:
   At Cost~                                  $587,213,345       $55,235,656       $76,545,800
                                            =================================================
   At Value~                                  587,213,345        55,235,656        76,545,800
Cash                                              497,134           188,865            49,244
Receivables:
   Investment Securities Sold                     348,841                 0                 0
   Fund Shares Sold                            14,298,515           609,472         2,891,372
   Interest                                       957,937           567,824           563,828
Prepaid Expenses and
   Other Assets                                    91,597            23,011            32,435
                                            -------------------------------------------------
TOTAL ASSETS                                  603,407,369        56,624,828        80,082,679
                                            -------------------------------------------------
LIABILITIES
Payables:
   Distributions to Shareholders                   34,367             6,374             6,148
   Investment Securities
   Purchased                                            0         4,760,257                 0
   Fund Shares Repurchased                     16,078,990           207,637           685,002
                                            -------------------------------------------------
Accrued Expenses and
   Other Payables                                  16,988             1,981                 0
                                            -------------------------------------------------
TOTAL LIABILITIES                              16,130,345         4,976,249           691,150
                                            -------------------------------------------------
Net Assets at Value*                          587,277,024        51,648,579        79,391,529
                                            =================================================
Shares Outstanding                            587,277,024        51,648,579        79,391,529
Net Asset Value,
   Offering and Redemption
   Price per Share                                   1.00              1.00              1.00
                                            =================================================

<FN>
~ Investment securities at cost and value at May 31, 1996 include a repurchase
agreement of $4,838,000 for U.S. Government Money Fund.

* The Fund has ten billion authorized shares of common stock, par value of $0.01
per share. Of such shares,  five billion,  one billion and one billion have been
allocated to Cash  Reserves,  Tax-Free  Money and U.S.  Government  Money Funds,
respectively.  Each Fund's paid-in  capital was  $587,277,024,  $51,648,579  and
$79,391,529, respectively.
</FN>
</TABLE>

See Notes to Financial Statements



<PAGE>



INVESCO Money Market Funds, Inc.
Statement of Operations
Year Ended May 31, 1996
<TABLE>
<CAPTION>
                                                     Cash          Tax-Free              U.S.
                                                 Reserves             Money        Government
                                                     Fund              Fund        Money Fund
                                            -------------------------------------------------
<S>                                        <C>                <C>               <C>        
INVESTMENT INCOME
INTEREST INCOME                               $36,881,555        $2,157,069        $4,251,185
                                            -------------------------------------------------
EXPENSES
Investment Advisory Fees                        2,739,278           286,046           377,802
Transfer Agent Fees                             2,445,244           177,342           280,826
Administrative Fees                               106,900            18,582            21,334
Custodian Fees and Expenses                       148,512            17,405            20,717
Directors' Fees and Expenses                       42,777            11,153            11,853
Professional Fees and Expenses                     37,663            21,409            14,224
Registration Fees and Expenses                    145,542            40,277            41,197
Reports to Shareholders                            23,983            20,908            24,267
Other Expenses                                     19,337             5,528             2,671
                                            -------------------------------------------------
   TOTAL EXPENSES                               5,909,236           598,650           794,891
   Fees and Expenses Absorbed
   by Investment Adviser                        (301,299)         (159,783)         (136,594)
   Fees and Expenses Paid
   Indirectly                                    (66,178)           (9,755)          (11,008)
                                            -------------------------------------------------
   NET EXPENSES                                 5,541,759           429,112           647,289
Net Investment Income and
   Net Increase in Net Assets
   from Operations                             31,339,796         1,727,957         3,603,896
                                            =================================================

</TABLE>

See Notes to Financial Statements

<PAGE>



INVESCO Money Market Funds, Inc.
Statement of Changes in Net Assets
Year Ended May 31
<TABLE>
<CAPTION>
                                      Cash Reserves                        Tax-Free                     U.S. Government
                                           Fund                           Money Fund                       Money Fund
                             ----------------------------      ---------------------------      ---------------------------
                                    1996             1995            1996             1995            1996             1995
<S>                      <C>              <C>               <C>              <C>             <C>              <C>        
OPERATIONS AND
   DISTRIBUTIONS
   TO SHAREHOLDERS
Net Investment
   Income Earned
   and Distributed
   to Shareholders           $31,339,796      $33,026,615      $1,727,957       $1,990,337      $3,603,896       $3,082,764
                             ----------------------------      ---------------------------      ---------------------------
FUND SHARE TRANSACTIONS
Proceeds from Sales
   of Shares               3,616,602,090    2,785,571,750     184,575,224      178,317,759     479,278,785      260,527,998
Reinvestment of
   Distributions              28,770,174       30,390,470       1,603,520        1,866,166       3,206,104        2,834,730
                             ----------------------------      ---------------------------      ---------------------------
                           3,645,372,264    2,815,962,220     186,178,744      180,183,925     482,484,889      263,362,728
Amounts Paid for
   Repurchases
   of Shares             (3,702,436,013)  (2,919,172,944)   (193,309,799)    (205,924,818)   (463,936,348)    (276,431,946)
NET INCREASE
   (DECREASE) IN
   NET ASSETS
   FROM FUND SHARE
   TRANSACTIONS             (57,063,749)    (103,210,724)     (7,131,055)     (25,740,893)      18,548,541     (13,069,218)
NET ASSETS
Beginning of
   Period                    644,340,773      747,551,497      58,779,634       84,520,527      60,842,988       73,912,206
                             ----------------------------      ---------------------------      ---------------------------
End of Period                587,277,024      644,340,773      51,648,579       58,779,634      79,391,529       60,842,988
                             ============================      ===========================      ===========================

FUND SHARE TRANSACTIONS
Shares Sold                3,616,602,090    2,785,571,750     184,575,224      178,317,759     479,278,785      260,527,998
Shares Issued
   from
   Reinvestment
   of Distributions           28,770,174       30,390,470       1,603,520        1,866,166       3,206,104        2,834,730
                             ----------------------------      ---------------------------      ---------------------------
                           3,645,372,264    2,815,962,220     186,178,744      180,183,925     482,484,889      263,362,728
Shares
   Repurchased           (3,702,436,013)  (2,919,172,944)   (193,309,799)    (205,924,818)   (463,936,348)    (276,431,946)
Net Increase
   (Decrease)
   in Fund Shares           (57,063,749)    (103,210,724)     (7,131,055)     (25,740,893)      18,548,541     (13,069,218)

</TABLE>

See Notes to Financial Statements

<PAGE>



INVESCO Money Market Funds, Inc.
Notes to Financial Statements
NOTE 1 - ORGANIZATION AND SIGNIFICANT ACCOUNTING POLICIES.  INVESCO Money Market
Funds, Inc. (the "Fund"), was incorporated in Maryland and presently consists of
three  separate  Funds:  Cash  Reserves  Fund,  Tax-Free  Money  Fund  and  U.S.
Government  Money Fund. The  investment  objectives of the Funds are: to seek as
high a level of current  income for Cash Reserves  Fund; to seek as high a level
of current income exempt from federal  income  taxation for Tax-Free Money Fund;
and to seek  current  income by  investing  only in debt  obligations  issued or
guaranteed by the U.S.  Government or its agencies for the U.S. Government Money
Fund.  The Fund is  registered  under the  Investment  Company  Act of 1940 (the
"Act") as a diversified,  open-end management  investment company.
     The following is a summary of significant  accounting policies consistently
followed  by the  Fund  in the  preparation  of its  financial  statements.  The
preparation  of financial  statements  in  conformity  with  generally  accepted
accounting principles requires management to make estimates and assumptions that
affect  the  reported  amounts  of assets  and  liabilities  and  disclosure  of
contingent  assets and  liabilities at the date of the financial  statements and
the  reported  amounts of revenues  and expenses  during the  reporting  period.
Actual results could differ from those estimates.
A.    SECURITY  VALUATION  -  Securities  held by the Fund are  valued  at their
      market value  determined  by the amortized  cost method of  valuation.  If
      management  believes that such valuation does not reflect the  securities'
      fair value,  these  securities  are valued at fair value as  determined in
      good faith by the Fund's board of directors.
B.    WHEN-ISSUED SECURITIES - When-issued securities held by the Fund are fully
      collateralized   by  other  securities  and  such  collateral  is  in  the
      possession of the Fund's  custodian.  The collateral is evaluated daily to
      ensure its market  value  exceeds  the current  market  value of the when-
      issued securities.
C.    REPURCHASE  AGREEMENTS - Repurchase  agreements held by the Fund are fully
      collateralized by U.S. Government securities and such collateral is in the
      possession of the Fund's  custodian.  The collateral is evaluated daily to
      ensure its market value exceeds the current market value of the repurchase
      agreements including accrued interest.
D.    SECURITY   TRANSACTIONS   AND   RELATED   INVESTMENT   INCOME  -  Security
      transactions are accounted for on the trade date.  Interest income,  which
      may be comprised of stated coupon rate, market discount and original issue
      discount,  is recorded on the accrual basis. The Fund amortizes  discounts
      and premiums  paid on purchases of  securities to the earliest put or call
      date. Cost is determined on the specific identification basis.
E.    FEDERAL AND STATE TAXES - The Fund has complied and continues to comply
      with the provisions of the Internal Revenue Code applicable to regulated
      investment companies and, accordingly, has made or intends to make
      sufficient distributions of net investment income and net realized capital
      gains, if any, to relieve it from all federal and state income taxes and
      federal excise taxes.  Of the distributions paid by Tax-Free Money Fund
      for the year ended May 31, 1996, xx.xx% were exempt from federal income
      taxes.


<PAGE>

F.    DIVIDENDS  AND   DISTRIBUTIONS  TO  SHAREHOLDERS  -  All  the  Fund's  net
      investment  income is distributed to  shareholders  by dividends  declared
      daily and paid monthly.  Reinvestment  of income  dividends is effected at
      the month-end net asset value.
G.    EXPENSES - Each of the Funds bears expenses  incurred  specifically on its
      behalf and, in  addition,  each Fund bears a portion of general  expenses,
      based on the relative net assets of each Fund.
            Under an  agreement  between  each  Fund and the  Fund's  Custodian,
      agreed upon Custodian Fees and Expenses are reduced by credits  granted by
      the  Custodian  from any  temporarily  uninvested  cash.  Such credits are
      included  in  Fees  and  Expenses  Paid  Indirectly  in the  Statement  of
      Operations.
NOTE 2 - INVESTMENT  ADVISORY AND OTHER  AGREEMENTS.  INVESCO Funds Group,  Inc.
("IFG")  serves  as the  Fund's  investment  adviser.  As  compensation  for its
services to the Fund,  IFG receives an investment  advisory fee which is accrued
daily at the applicable rate and paid monthly. The fee for each Fund is based on
the annual  rate of 0.50% on the first  $300  million  of  average  net  assets;
reduced to 0.40% on the next $200  million of average net  assets;  and 0.30% on
average net assets in excess of $500 million.
      In accordance with a Sub-Advisory  Agreement between IFG and INVESCO Trust
Company ("ITC"), a wholly owned subsidiary of IFG, investment  decisions of each
Fund are made by ITC.  Fees for such  sub-advisory  services are paid by IFG.
     In  accordance  with an  Administrative  Agreement,  each  Fund pays IFG an
annual fee of $10,000,  plus an additional  amount computed at an annual rate of
0.015% of average net assets to provide administrative,  accounting and clerical
services. The fee is accrued daily and paid monthly.
      IFG  received  a  transfer  agent  fee at an  annual  rate of  $21.00  per
shareholder  account, or per participant in an omnibus account through April 30,
1996. IFG may pay such fee for participants in omnibus accounts to affiliates or
third  parties.  The fee is paid monthly at one-twelfth of the annual fee and is
based upon the actual number of accounts in existence  during each month.  As of
May 1, 1996,  the transfer agent fee became $27.00 per  shareholder  account or,
where applicable, per participant in an omnibus account, per year, computed in a
manner similar to the previous fee.
      IFG has voluntarily agreed, in some instances,  to absorb certain fees and
expenses incurred by the Cash Reserves and U.S.  Government Money Funds. IFG and
ITC have  voluntarily  agreed,  in some  instances,  to absorb  certain fees and
expenses incurred by Tax-Free Money Fund.
NOTE 3 -  TRANSACTIONS  WITH  AFFILIATES.  Certain  of the Fund's  officers  and
directors are also officers and directors of IFG or ITC.
      The Fund has adopted an unfunded  noncontributory  defined benefit pension
plan covering all  independent  directors of the Fund who will have served as an
independent director for at least five years at the time of retirement. Benefits
under this plan are based on an annual rate equal to 25% of the  retainer fee at
the time of retirement.  As of July 1, 1996, benefits will be based on an annual
rate of 40% of the retainer fee at the time of retirement.  Pension expenses for
the year ended May 31,  1996,  included in  Directors'  Fees and Expenses in the
Statement  of  Operations,  and  unfunded  accrued  pension  costs  and  pension
liability  included in Prepaid Expenses and Accrued Expenses,  respectively,  in
the Statement of Assets and Liabilities were as follows:



<PAGE>


<TABLE>

                                                                   Unfunded
                                                  Pension           Accrued           Pension
Fund                                             Expenses     Pension Costs         Liability
- ---------------------------------------------------------------------------------------------
<S>                                                <C>              <C>               <C>    
Cash Reserves Fund                                 $7,457           $19,061           $39,454
Tax-Free Money Fund                                   722             2,092             4,179
U.S. Government Money Fund                            809             1,690             3,730

</TABLE>



<PAGE>



INVESCO Money Market Funds, Inc.
Financial Highlights
(For a Fund Share Outstanding Throughout Each Period)

<TABLE>
<CAPTION>
                                                                                            Period
                                                                                             Ended
                                                                Year Ended May 31           May 31    Year Ended January 31
                                                      ---------------------------------   ---------   ---------------------
                                                           1996        1995        1994      1993>>        1993        1992
                                                      Cash Reserves Fund
<S>                                                     <C>         <C>         <C>         <C>         <C>         <C>    

PER SHARE DATA
Net Asset Value - Beginning of Period                     $1.00       $1.00       $1.00       $1.00       $1.00       $1.00
                                                      ---------------------------------   ---------   ---------------------
INCOME AND DISTRIBUTIONS
   FROM INVESTMENT OPERATIONS
Net Investment Income Earned and
   Distributed to Shareholders                             0.05        0.05        0.03        0.01        0.03        0.05
                                                      ---------------------------------   ---------   ---------------------
Net Asset Value - End of Period                            1.00        1.00        1.00        1.00        1.00        1.00
                                                      =================================   =========   =====================

TOTAL RETURN                                              5.01%       4.76%       2.58%      0.75%*       3.00%       5.35%

RATIOS
Net Assets - End of Period
 ($000 Omitted)                                         587,277     644,341     747,551     490,932     506,337     557,708
Ratio of Expenses to Average
   Net Assets#                                           0.87%@       0.75%       0.81%       0.98%      ~0.80%       0.83%
Ratio of Net Investment Income
   to Average Net Assets#                                 4.86%       4.65%       2.61%      2.26%~       2.98%       5.17%

<FN>
>> From February 1, 1993 to May 31, 1993, the Fund's new fiscal year-end.

*  Based  on  operations  for  the  period  shown  and,  accordingly,   are  not
representative of a full year.

# Various  expenses  of the Fund were  voluntarily  absorbed by IFG for the year
ended May 31, 1996 and 1995. If such expenses had not been voluntarily absorbed,
ratio of  expenses  to  average  net  assets  would  have been  0.92% and 0.85%,
respectively,  and ratio of net  investment  income to average net assets  would
have been 4.81% and 4.55%, respectively.

@ Ratio is based on Total  Expenses  of the  Fund,  less  Expenses  Absorbed  by
Investment Adviser, which is before any expense offset arrangements.

~ Annualized
</FN>
</TABLE>


<PAGE>



INVESCO Money Market Funds, Inc.
Financial Highlights (Continued)
(For a Fund Share Outstanding Throughout Each Period)

<TABLE>
<CAPTION>
                                                                                             Period
                                                                                              Ended
                                                               Year Ended May 31             May 31     Year Ended April 30
                                                      ---------------------------------   ---------   ---------------------
                                                           1996        1995        1994      1993>>        1993        1992
                                                      Tax-Free Money Fund
<S>                                                     <C>         <C>         <C>         <C>         <C>         <C>    

PER SHARE DATA
Net Asset Value - Beginning of Period                     $1.00       $1.00       $1.00       $1.00       $1.00       $1.00
                                                      ---------------------------------   ---------   ---------------------
INCOME AND DISTRIBUTIONS
   FROM INVESTMENT OPERATIONS
Net Investment Income Earned and
   Distributed to Shareholders                             0.03        0.03        0.02       0.00+        0.02        0.03
                                                      ---------------------------------   ---------   ---------------------
Net Asset Value - End of Period                            1.00        1.00        1.00        1.00        1.00        1.00
                                                      =================================   =========   =====================

TOTAL RETURN                                              3.08%       2.86%       1.84%      0.16%*       2.16%       3.42%

RATIOS
Net Assets -End of Period
   ($000 Omitted)                                        51,649      58,780      84,521      63,498      65,167      60,413
Ratio of Expenses to Average
   Net Assets#                                           0.77%@       0.75%       0.75%      0.75%~       0.75%       0.78%
Ratio of Net Investment Income
   to Average Net Assets#                                 3.03%       2.77%       1.83%      2.03%~       2.13%       3.30%

<FN>
>> From May 1, 1993 to May 31, 1993, the Fund's new fiscal year-end.

+ Net Investment  Income Earned and Distributed to  Shareholders  for the period
ended May 31, 1993 aggregated less than $0.01 on a per share basis.

*  Based  on  operations  for  the  period  shown  and,  accordingly,   are  not
representative of a full year.

# Various expenses of the Fund were voluntarily  absorbed by IFG and ITC for the
years ended May 31, 1996,  1995 and 1994, the period ended May 31, 1993, and the
years ended April 30, 1993 and 1992. If such  expenses had not been  voluntarily
absorbed,  ratio of expenses to average net assets would have been 1.05%, 1.00%,
1.00%,  1.19%,  1.02% and 0.99%,  respectively,  and the ratio of net investment
income to average net assets would have been 2.75%,  2.52%,  1.58%, 1.59%, 1.86%
and 3.09%, respectively.

@ Ratio is based on Total  Expenses  of the  Fund,  less  Expenses  Absorbed  by
Investment Adviser, which is before any expense offset arrangements.

~ Annualized
</FN>
</TABLE>


<PAGE>



INVESCO Money Market Funds, Inc.
Financial Highlights (Continued)
(For a Fund Share Outstanding Throughout Each Period)

<TABLE>
<CAPTION>
                                                                                                           Year      Period
                                                                                             Period       Ended       Ended
                                                                                              Ended    December    December
                                                                 Year Ended May 31           May 31          31          31
                                                    -----------------------------------   ---------   ---------   ---------
                                                           1996        1995        1994      1993>>        1992       1991^
                                                    U.S. Government Money Fund
<S>                                                     <C>         <C>         <C>         <C>         <C>         <C>    

PER SHARE DATA
Net Asset Value - Beginning of Period                     $1.00       $1.00       $1.00       $1.00       $1.00       $1.00
                                                    -----------------------------------   ---------   ---------   ---------
INCOME AND DISTRIBUTIONS
   FROM INVESTMENT OPERATIONS
   Net Investment Income Earned and
   Distributed to Shareholders                             0.05        0.05        0.03        0.01        0.03        0.03
                                                    -----------------------------------   ---------   ---------   ---------
Net Asset Value - End of Period                            1.00        1.00        1.00        1.00        1.00        1.00
                                                    ===================================   =========   =========   =========

TOTAL RETURN                                              4.90%       4.66%       2.56%      0.93%*       2.97%      3.23%*

RATIOS
Net Assets -End of Period
   ($000 Omitted)                                        79,392      60,843      73,912      34,519      30,282       7,203
Ratio of Expenses to Average
   Net Assets#                                           0.87%@       0.75%       0.75%      0.75%~       0.75%      0.74%~
Ratio of Net Investment Income to
   Average Net Assets#                                    4.78%       4.55%       2.60%      2.27%~       2.82%      4.54%~

<FN>
>> From January 1, 1993 to May 31, 1993, the Fund's new fiscal year-end.

^ From April 26, 1991, commencement of operations, to December 31, 1991.

*  Based  on  operations  for  the  period  shown  and,  accordingly,   are  not
representative of a full year.

# Various  expenses of the Fund were  voluntarily  absorbed by IFG for the years
ended May 31, 1996,  1995 and 1994,  the periods  ended May 31,  1993,  the year
ended December 31, 1992 and the period ended December 31, 1991, respectively. If
such expenses had not been  voluntarily  absorbed,  ratio of expenses to average
net  assets  would  have been  1.05%,  1.10%,  1.00%,  1.18%,  1.08% and  1.93%,
respectively,  and ratio of net  investment  income to average net assets  would
have been 4.59%, 4.20%, 2.35%, 1.84%, 2.49% and 3.35%, respectively.

@ Ratio is based on Total  Expenses  of the  Fund,  less  Expenses  Absorbed  by
Investment Adviser, which is before any expense offset arrangements.

~ Annualized
</FN>
</TABLE>


<PAGE>



Report of Independent Accountants


To the Board of Directors and Shareholders of
INVESCO Money Market Funds, Inc.

In our opinion, the accompanying statement of assets and liabilities,  including
the statement of investment securities, and the related statements of operations
and of changes in net assets and the financial highlights present fairly, in all
material respects,  the financial position of Cash Reserves Fund, Tax-Free Money
Fund, and U.S.  Government Money Fund (constituting  INVESCO Money Market Funds,
Inc.,  hereafter referred to as the "Fund") at May 31, 1996, the results of each
of their  operations  for the year then ended,  the changes in each of their net
assets  for each of the two years in the  period  then  ended and the  financial
highlights  for each of the periods  indicated,  in  conformity  with  generally
accepted  accounting  principles.   These  financial  statements  and  financial
highlights   (hereafter   referred  to  as  "financial   statements")   are  the
responsibility  of the Fund's  management;  our  responsibility is to express an
opinion on these  financial  statements  based on our audits.  We conducted  our
audits of these  financial  statements in  accordance  with  generally  accepted
auditing  standards  which  require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements are free of material
misstatement.  An audit includes examining, on a test basis, evidence supporting
the  amounts  and  disclosures  in  the  financial  statements,   assessing  the
accounting  principles  used and significant  estimates made by management,  and
evaluating the overall  financial  statement  presentation.  We believe that our
audits,   which  included   confirmation  of  securities  at  May  31,  1996  by
correspondence with the custodian and brokers and the application of alternative
auditing  procedures for unsettled security  transactions,  provide a reasonable
basis for the opinion expressed above.




Price Waterhouse LLP

Denver, Colorado
June 26, 1996

<PAGE>

                                 FAMILY OF FUNDS

                                                                       Newspaper
Fund Name                          Fund Code       Ticker Symbol    Abbreviation
- --------------------------------------------------------------------------------
International
Latin American Growth                 34               IVSLX           LatinAmGr
European Small Company                37               IVECX           EuroSmCo
European                              56               FEURX             Europ
Pacific Basin                         54               FPBSX             PcBas
International Growth                  49               FSIGX            IntlGr
Asian Growth                          41               IVAGX            AsianGr
- --------------------------------------------------------------------------------
Sector
Energy                                50               FSTEX             Enrgy
Environmental Services                59               FSEVX            Envirn
Financial Services                    57               FSFSX            FinSvc
Gold                                  51               FGLDX             Gold
Health Sciences                       52               FHLSX            HlthSc
Leisure                               53               FLISX            Leisur
Technology                            55               FTCHX             Tech
Worldwide Capital Goods               38               ISWGX            WldCap
Worldwide Communications              39               ISWCX            WldCom
- --------------------------------------------------------------------------------
Growth, Value
Emerging Growth                       60               FIEGX            Emgrth
Value Equity                          46               FSEQX             ValEq
Small Company                         74               IDSCX            DivSmCo
Dynamics                              20               FIDYX             Dynm
Growth                                10               FLRFX             Grwth
- --------------------------------------------------------------------------------
Equity-Income
Industrial Income                     15               FIIIX            IndInc
Utilities                             58               FSTUX             Util
- --------------------------------------------------------------------------------
Balanced/Multiple-Asset
Multi-Asset Allocation                70               IMAAX           MulAstAl
Balanced                              71               IMABX              Bal
Total Return                          48               FSFLX            TotRtn
- --------------------------------------------------------------------------------
Bond
High Yield                            31               FHYPX             HiYld
Select Income                         30               FBDSX            SelInc
U.S. Government Securities            32               FBDGX             USGvt
Intermediate Government Bond          47               FIGBX            IntGov
Short-Term Bond                       33               INIBX            ShTrBd
- --------------------------------------------------------------------------------
Tax-Exempt
Tax-Free Long-Term Bond               35               FTIFX             TxFre
Tax-Free Intermediate Bond            36                 *                 *
- --------------------------------------------------------------------------------
Money Market
Tax-Free Money Fund                   40               FFRXX              N/A
Cash Reserves                         25               FDSXX              N/A
U.S. Government Money Fund            44               FUGXX              N/A

* This fund does not meet size  requirements  to be assigned a ticker  symbol in
newspaper listings.

For more information about any of the INVESCO Funds,  including  management fees
and  expenses,  please  call  us at  1-800-525-8085  for a  prospectus.  Read it
carefully before you invest or send money.


<PAGE>


INVESCO FUNDS

To receive general information and prospectuses
on any of INVESCO's funds or retirement plans,
or to obtain current account or price information,
call toll-free:
1-800-525-8085

To reach PAL(R), your 24-hour Personal
Account Line call:  1-800-424-8085

Or write to:
INVESCO Funds Group, Inc.,(SM) Distributor
Post Office Box 173706
Denver, Colorado 80217-3706

If you're in Denver, please visit one of our
convenient Investor Centers:
Cherry Creek, 155-B Fillmore Street;
Denver Tech Center
7800 East Union Avenue, Lobby Level

This information must be preceded or 
accompanied by an effective prospectus.



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