```

                                                             OMB APPROVAL
                                                     OMB Number:       3235-0578
                                                     Expires:  January 31, 2016
                                                     Estimated average burden
                                                     hours per response.....
                                                     10.5

                                 UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM N-Q

                   QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS
    OF REGISTERED MANAGEMENT INVESTMENT COMPANY

  Investment Company Act file number 811-05099

                         Pioneer Money Market Trust
               (Exact name of registrant as specified in charter)

                       60 State Street, Boston, MA 02109
              (Address of principal executive offices) (ZIP code)

            Terrence J. Cullen, Pioneer Investment Management, Inc.,
                       60 State Street, Boston, MA 02109
                    (Name and address of agent for service)

Registrant's telephone number, including area code:  (617) 742-7825

Date of fiscal year end:  December 31

Date of reporting period:  September 30, 2015

Form N-Q is to be used by management investment companies, other than small
business investment companies registered on Form N-5 (239.24 and 274.5 of this
chapter), to file reports with the Commission, not later than 60 days after
close of the first and third fiscal quarters, pursuant to Rule 30b1-5 under
the Investment Company Act of 1940 (17 CFR 270.30b1-5).  The Commission may
use the information provided on Form N-Q in its regulatory, disclosure review,
inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q,
and the Commission will make this information public. A registrant is not
required to respond to the collection of information contained in Form N-Q
unless the Form displays a currently valid Office of Management and Budget
("OMB") control number. Please direct comments concerning the accuracy of the
information collection burden estimate and any suggestions for reducing the
burden to Secretary, Securities and Exchange Commission, 450 Fifth Street, NW,
Washington, DC 20549-0609.  The OMB has reviewed this collection of information
under the clearance requirements of 44 U.S.C. ss. 3507.

<PAGE>
ITEM 1. Schedule of Investments.

File the schedules as of the close of the reporting period as set forth in
ss. 210.12-12  12-14 of Regulation S-X [17 CFR 210.12-12  12-14]. The
schedules need not be audited.
```

```

```

|                                                                                                                                                       |                 |             |   | Pioneer Cash Reserves Fund                                                                         |       |        |
|------------------------------------------------------------------------------------------------------------------------------------------------------------|----------------------|------------------|--------|----------------------------------------------------------------------------------------------------|------------|-------------|
|                                                                                                                                                       |                 |             |   | Schedule of Investments 9/30/15 (unaudited)                                                        |       |        |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       | Principal Amount ($) | FloatingRate (b) |   | Value                                                                                              |
|                                                                                                                                                       |                 |             |   | CORPORATE BONDS - 0.4%                                                                             |       |        |
|                                                                                                                                                       |                 |             |   | Food, Beverage & Tobacco - 0.3%                                                                |       |        |
|                                                                                                                                                       |                 |             |   | Soft Drinks - 0.3%                                                                                 |       |        |
|                                                                                                                                                       | 800,000              |             |   | The Coca-Cola Co., 1.5%, 11/15/15                                                                  | $          | 801,137     |
|                                                                                                                                                       |                 |             |   | Total Food, Beverage & Tobacco                                                                 | $          | 801,137     |
|                                                                                                                                                       |                 |             |   | Banks - 0.1%                                                                                       |       |        |
|                                                                                                                                                       |                 |             |   | Diversified Banks - 0.1%                                                                           |       |        |
|                                                                                                                                                       | 440,000              | 0.54             |   | Bank of Nova Scotia Houston, Floating Rate Note, 10/23/15                                          | $          | 440,063     |
|                                                                                                                                                       |                 |             |   | Total Banks                                                                                        | $          | 440,063     |
|                                                                                                                                                       |                 |             |   | TOTAL CORPORATE BONDS                                                                              |       |        |
|                                                                                                                                                       |                 |             |   | (Cost $1,241,200)                                                                                  | $          | 1,241,200   |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       |                 |             |   | U.S. GOVERNMENT AND AGENCY OBLIGATIONS - 56.5%                                                     |       |        |
|                                                                                                                                                       | 2,732,000            |             |   | Fannie Mae Discount Notes, 0.0%, 10/7/15                                                           | $          | 2,731,998   |
|                                                                                                                                                       | 1,300,000            | 0.14             |   | Federal Farm Credit Banks, Floating Rate Note, 1/30/17                                             |       | 1,299,302   |
|                                                                                                                                                       | 1,000,000            | 0.14             |   | Federal Farm Credit Banks, Floating Rate Note, 10/1/15                                             |       | 1,000,000   |
|                                                                                                                                                       | 325,000              | 0.15             |   | Federal Farm Credit Banks, Floating Rate Note, 10/26/15                                            |       | 325,005     |
|                                                                                                                                                       | 2,000,000            | 0.15             |   | Federal Farm Credit Banks, Floating Rate Note, 11/18/15                                            |       | 2,000,000   |
|                                                                                                                                                       | 1,500,000            | 0.22             |   | Federal Farm Credit Banks, Floating Rate Note, 11/19/15                                            |       | 1,500,174   |
|                                                                                                                                                       | 2,500,000            | 0.14             |   | Federal Farm Credit Banks, Floating Rate Note, 11/4/15                                             |       | 2,500,095   |
|                                                                                                                                                       | 3,000,000            | 0.20             |   | Federal Farm Credit Banks, Floating Rate Note, 12/2/15                                             |       | 3,000,198   |
|                                                                                                                                                       | 340,000              | 0.14             |   | Federal Farm Credit Banks, Floating Rate Note, 2/18/16                                             |       | 340,059     |
|                                                                                                                                                       | 1,644,000            | 0.14             |   | Federal Farm Credit Banks, Floating Rate Note, 2/21/17                                             |       | 1,642,412   |
|                                                                                                                                                       | 2,300,000            | 0.28             |   | Federal Farm Credit Banks, Floating Rate Note, 7/20/16                                             |       | 2,301,481   |
|                                                                                                                                                       | 5,700,000            |             |   | Federal Home Loan Bank Discount Notes, 0.0%, 10/16/15                                              |       | 5,699,900   |
|                                                                                                                                                       | 3,000,000            |             |   | Federal Home Loan Bank Discount Notes, 0.0%, 10/9/15                                               |       | 2,999,993   |
|                                                                                                                                                       | 200,000              |             |   | Federal Home Loan Banks, 0.16%, 10/9/15                                                            |       | 200,000     |
|                                                                                                                                                       | 4,625,000            | 0.21             |   | Federal Home Loan Banks, Floating Rate Note, 10/1/15                                               |       | 4,625,000   |
|                                                                                                                                                       | 1,500,000            | 0.22             |   | Federal Home Loan Banks, Floating Rate Note, 10/7/15                                               |       | 1,500,022   |
|                                                                                                                                                       | 1,000,000            | 0.22             |   | Federal Home Loan Banks, Floating Rate Note, 10/7/15                                               |       | 1,000,013   |
|                                                                                                                                                       | 3,000,000            | 0.22             |   | Federal Home Loan Banks, Floating Rate Note, 10/7/15                                               |       | 3,000,048   |
|                                                                                                                                                       | 835,000              | 0.14             |   | Federal Home Loan Banks, Floating Rate Note, 12/16/15                                              |       | 835,068     |
|                                                                                                                                                       | 1,500,000            | 0.18             |   | Federal Home Loan Banks, Floating Rate Note, 8/17/16                                               |       | 1,499,974   |
|                                                                                                                                                       | 6,980,000            | 0.18             |   | Federal Home Loan Mortgage Corp., Floating Rate Note, 10/16/15                                     |       | 6,980,092   |
|                                                                                                                                                       | 2,700,000            | 0.19             |   | Federal Home Loan Mortgage Corp., Floating Rate Note, 11/25/15                                     |       | 2,700,104   |
|                                                                                                                                                       | 3,750,000            |             |   | Federal National Mortgage Association, 1.625%, 10/26/15                                            |       | 3,753,957   |
|                                                                                                                                                       | 2,610,000            |             |   | Federal National Mortgage Association, 1.625%, 11/12/15                                            |       | 2,614,539   |
|                                                                                                                                                       | 1,075,000            | 0.48             |   | Federal National Mortgage Association, Floating Rate Note, 10/3/16                                 |       | 1,078,266   |
|                                                                                                                                                       | 4,610,000            | 0.21             |   | Federal National Mortgage Association, Floating Rate Note, 7/25/16                                 |       | 4,611,125   |
|                                                                                                                                                       | 1,000,000            | 0.22             |   | Federal National Mortgage Association, Floating Rate Note, 8/16/16                                 |       | 1,000,398   |
|                                                                                                                                                       | 1,000,000            | 0.22             |   | Federal National Mortgage Association, Floating Rate Note, 8/26/16                                 |       | 1,000,462   |
|                                                                                                                                                       | 900,000              |             |   | Freddie Mac Discount Notes, 0.0%, 10/1/15                                                          |       | 900,000     |
|                                                                                                                                                       | 20,000,000           |             |   | Freddie Mac Discount Notes, 0.0%, 10/13/15                                                         |       | 19,999,967  |
|                                                                                                                                                       | 300,000              |             |   | Freddie Mac Discount Notes, 0.0%, 10/9/15                                                          |       | 299,996     |
|                                                                                                                                                       | 1,000,000            |             |   | Freddie Mac Discount Notes, 0.0%, 12/3/15                                                          |       | 999,799     |
|                                                                                                                                                       | 300,000              |             |   | U.S. Treasury Bills, 0.0%, 1/28/16                                                                 |       | 299,859     |
|                                                                                                                                                       | 13,050,000           |             |   | U.S. Treasury Bills, 0.0%, 10/1/15                                                                 |       | 13,050,000  |
|                                                                                                                                                       | 1,540,000            |             |   | U.S. Treasury Bills, 0.0%, 10/22/15                                                                |       | 1,539,971   |
|                                                                                                                                                       | 1,550,000            |             |   | U.S. Treasury Bills, 0.0%, 10/29/15                                                                |       | 1,549,934   |
|                                                                                                                                                       | 10,000,000           |             |   | U.S. Treasury Bills, 0.0%, 12/17/15                                                                |       | 9,999,786   |
|                                                                                                                                                       | 10,000,000           |             |   | U.S. Treasury Bills, 0.0%, 12/24/15                                                                |       | 9,999,533   |
|                                                                                                                                                       | 10,000,000           | 0.06             |   | U.S. Treasury Note, Floating Rate Note, 1/31/16                                                    |       | 10,000,070  |
|                                                                                                                                                       | 9,775,000            | 0.10             |   | U.S. Treasury Note, Floating Rate Note, 1/31/17                                                    |       | 9,777,306   |
|                                                                                                                                                       | 10,000,000           | 0.07             |   | U.S. Treasury Note, Floating Rate Note, 10/31/16                                                   |       | 9,994,886   |
|                                                                                                                                                       | 10,000,000           | 0.08             |   | U.S. Treasury Note, Floating Rate Note, 4/30/16                                                    |       | 10,000,626  |
|                                                                                                                                                       | 7,325,000            | 0.09             |   | U.S. Treasury Note, Floating Rate Note, 4/30/17                                                    |       | 7,324,095   |
|                                                                                                                                                       | 10,000,000           | 0.09             |   | U.S. Treasury Note, Floating Rate Note, 7/31/16                                                    |       | 10,001,240  |
|                                                                                                                                                       | 3,075,000            | 0.09             |   | United States Treasury Floating Rate Note, Floating Rate Note, 7/31/17                             |       | 3,074,494   |
|                                                                                                                                                       |                 |             |   | TOTAL U.S. GOVERNMENT AND AGENCY OBLIGATIONS                                                       |       |        |
|                                                                                                                                                       |                 |             |   | (Cost $182,551,247)                                                                                | $          | 182,551,247 |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       |                 |             |   | TEMPORARY CASH INVESTMENTS - 34.7%                                                                 |       |        |
|                                                                                                                                                       |                 |             |   | Certificate of Deposit — 1.0%                                                                |       |        |
|                                                                                                                                                       | 750,000              | 0.39             |   | Nordea Bank Finland Plc New York, Floating Rate Note, 11/9/15                                      |       | 750,061     |
|                                                                                                                                                       | 1,100,000            | 0.28             |   | Wells Fargo Bank NA, Floating Rate Note, 10/2/15                                                   |       | 1,100,000   |
|                                                                                                                                                       | 1,500,000            | 0.32             |   | Wells Fargo Bank NA, Floating Rate Note, 11/9/15                                                   |       | 1,500,046   |
|                                                                                                                                                       |                 |             |   |                                                                                               | $          | 3,350,107   |
|                                                                                                                                                       |                 |             |   | Commercial Paper - 12.9%                                                                           |       |        |
|                                                                                                                                                       | 400,000              |             |   | GDZ Suez, Discount Commercial Paper, 10/13/15 (c)                                                  | $          | 399,973     |
|                                                                                                                                                       | 3,000,000            |             |   | Johnson & Johnson, Discount Commercial Paper, 10/13/15 (c)                                     |       | 2,999,950   |
|                                                                                                                                                       | 2,373,000            |             |   | Microsoft Corporation, Discount Commercial Paper, 10/14/15 (c)                                     |       | 2,372,906   |
|                                                                                                                                                       | 2,000,000            |             |   | Microsoft Corporation, Discount Commercial Paper, 10/7/15 (c)                                      |       | 1,999,967   |
|                                                                                                                                                       | 15,985,000           |             |   | Prudential Funding LLC, Discount Commercial Paper, 10/1/15 (c)                                     |       | 15,985,000  |
|                                                                                                                                                       | 1,600,000            |             |   | Skandinaviska Enskilda Banken AB, Discount Note, 10/2/15 (c)                                       |       | 1,599,990   |
|                                                                                                                                                       | 15,985,000           |             |   | Societe Generale SA, Commercial Paper, 10/1/15 (c)                                                 |       | 15,985,000  |
|                                                                                                                                                       | 300,000              |             |   | Wal-Mart Stores, Discount Commercial Paper, 10/7/15 (c)                                            |       | 299,992     |
|                                                                                                                                                       |                 |             |   |                                                                                               | $          | 41,642,778  |
|                                                                                                                                                       |                 |             |   | Repurchase Agreements - 20.8%                                                                      |       |        |
|                                                                                                                                                       | 22,440,000           |             |   | $22,440,000 Bank of Nova Scotia, 0.12%, dated 9/30/15 plus accrued interest on 10/1/15             |
|                                                                                                                                                       |                 |             |   | collateralized by the following:                                                                   |       |        |
|                                                                                                                                                       |                 |             |   | $1,854,379 Freddie Mac Giant, 4.0%, 9/1/42                                                         |       |        |
|                                                                                                                                                       |                 |             |   | $21,034,498 Federal National Mortgage Association, 2.5 - 6.0%, 2/1/23 - 9/1/45                     | $          | 22,440,000  |
|                                                                                                                                                       | 22,440,000           |             |   | $22,440,000 RBC Capital Markets LLC, 0.10%, dated 9/30/15 plus accrued interest on 10/1/15         |
|                                                                                                                                                       |                 |             |   | collateralized by the following:                                                                   |       |        |
|                                                                                                                                                       |                 |             |   | $92,345 Federal Home Loan Mortgage Corp, 2.229 - 2.845%, 6/1/42 - 5/1/45                           |       |        |
|                                                                                                                                                       |                 |             |   | $4,692,881 Federal National Mortgage Association (ARM), 2.31 - 3.856%,  11/1/27 - 6/1/45 |
|                                                                                                                                                       |                 |             |   | $9,865,686 Federal National Mortgage Association, 2.50 - 4.50%, 2/1/26 - 9/1/45                    |
|                                                                                                                                                       |                 |             |   | $8,237,888 Government National Mortgage Association II, 4.5 - 5.0%, 10/20/39 - 10/20/43            | 22,440,000 |
|                                                                                                                                                       | 22,440,000           |             |   | $22,440,000 TD Securities USA LLC, 0.07%, dated 9/30/15 plus accrued interest on 10/1/15           |
|                                                                                                                                                       |                 |             |   | collateralized by the following:                                                                   |       |        |
|                                                                                                                                                       |                 |             |   | $22,888,828 U.S. Treasury Notes, 1.625%, 8/15/22                                                   |       | 22,440,000  |
|                                                                                                                                                       |                 |             |   |                                                                                               | $          | 67,320,000  |
|                                                                                                                                                       |                 |             |   | TOTAL TEMPORARY CASH INVESTMENTS                                                                   |       |        |
|                                                                                                                                                       |                 |             |   | (Cost $112,312,885)                                                                                | $          | 112,312,885 |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       |                 |             |   | TOTAL INVESTMENT IN SECURITIES - 91.6%                                                             |       |        |
|                                                                                                                                                       |                 |             |   | (Cost $296,105,332) (a)                                                                            | $          | 296,105,332 |
|                                                                                                                                                       |                 |             |   | OTHER ASSETS & LIABILITIES - 8.4%                                                              | $          | 27,164,777  |
|                                                                                                                                                       |                 |             |   | TOTAL NET ASSETS - 100.0%                                                                          | $          | 323,270,109 |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       | (a)                  |             |   | At June 30, 2015, cost for federal income tax purposes was $296,105,332.                           |       |        |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       | (b)                  |             |   | Debt obligation with a variable interest rate. Rate shown is rate at end of period.                |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
|                                                                                                                                                       | (c)                  |             |   | Security issued with a zero coupon. Income is recognized through accretion of discount.            |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
| Various inputs are used in determining the value of the Fund's investments.  These inputs are summarized in the three broad levels listed below. |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
| Level 1 – quoted prices in active markets for identical securities.                                                                                  |                 |             |
| Level 2 – other significant observable inputs (including quoted prices for similar securities, interest rates, prepayment speeds, credit risk, etc.) |
| Level 3 – significant unobservable inputs (including the Fund's own assumptions in determining fair value of investments)                            |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
| Generally, equity securities are categorized as Level 1, fixed income securities and senior loans as Level 2 and securities valued                         |
| using fair value methods (other than prices supplied by independent pricing services or broker-dealers) as Level 3.                                        |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |
| The following is a summary of the inputs used as of September 30, 2015, in valuing the Fund's investments:                                                 |                 |             |
|                                                                                                                                                       |                 |             |   |                                                                                               |       |        |

|                                                                                           |   | Level 1 |   |   | Level 2 |   |        | Level 3 |   |   | Total  |   |
|------------------------------------------------------------------------------------------------|--------|---------|--------|--------|---------|--------|-------------|---------|--------|--------|--------|--------|
| Corporate Bonds                                                                                |   | $       | -      |   |    | $      | 1,241,200   |    |   | $      | -      |   |   | $ | 1,241,200 |   |
| U.S. Government and Agency Obligations                                                         |   |    | -      |   |    |   | 182,551,247 |    |   |   | -      |   |   |   | 182,551,247 |   |
| Certificate of Deposit                                                                         |   |    | -      |   |    |   | 3,350,107   |    |   |   | -      |   |   |   | 3,350,107 |   |
| Commercial Paper                                                                               |   |    | -      |   |    |   | 41,642,778  |    |   |   | -      |   |   |   | 41,642,778 |   |
| Repurchase Agreements                                                                          |   |    | -      |   |    |   | 67,320,000  |    |   |   | -      |   |   |   | 67,320,000 |   |
| Total                                                                                          |   | $       | -      |   |    | $      | 296,105,332 |    |   | $      | -      |   |   | $ | 296,105,332 |   |
|                                                                                           |   |    |   |   |    |   |        |    |   |   |   |   |   |   |   |   |
| During the period ended September 30, 2015, there were no transfers between Levels 1, 2 and 3. |   |    |   |   |    |   |        |    |   |