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

FORM N-CSR

CERTIFIED SHAREHOLDER REPORT OF REGISTERED
MANAGEMENT INVESTMENT COMPANIES

Investment Company Act file number: 811-03159

Active Assets Money Trust
(Exact name of registrant as specified in charter)

522 Fifth Avenue, New York, New York 10036
(Address of principal executive offices) (Zip code)

Ronald E. Robison
522 Fifth Avenue, New York, New York 10036
(Name and address of agent for service)

Registrant's telephone number, including area code: 212-296-6990

Date of fiscal year end: June 30, 2008

Date of reporting period: December 31, 2007

Item 1 - Report to Shareholders

Welcome, Shareholder:
In this report, you'll learn about how your investment in Active Assets Money
Trust performed during the semiannual period. We will provide an overview of the
market conditions, and discuss some of the factors that affected performance
during the reporting period. In addition, this report includes the Fund's
financial statements and a list of Fund investments.

THIS MATERIAL MUST BE PRECEDED OR ACCOMPANIED BY A PROSPECTUS FOR THE FUND BEING
OFFERED.

MARKET FORECASTS PROVIDED IN THIS REPORT MAY NOT NECESSARILY COME TO PASS. THERE
IS NO ASSURANCE THAT A MUTUAL FUND WILL ACHIEVE ITS INVESTMENT OBJECTIVE. AN
INVESTMENT IN A MONEY MARKET FUND IS NOT INSURED OR GUARANTEED BY THE FEDERAL
DEPOSIT INSURANCE CORPORATION OR ANY OTHER GOVERNMENT AGENCY. ALTHOUGH THE FUND
SEEKS TO PRESERVE THE VALUE OF AN INVESTMENT AT $1.00 PER SHARE, IT IS POSSIBLE
TO LOSE MONEY BY INVESTING IN THE FUND. PLEASE SEE THE PROSPECTUS FOR MORE
COMPLETE INFORMATION ON INVESTMENT RISKS.

FUND REPORT

For the six months ended December 31, 2007

MARKET CONDITIONS

Throughout most of the fiscal period under review, the majority of home sales
and housing-related statistics were consistently lower than expected. New home
sales for the month of November reached the lowest level since April 1995. U.S.
economic growth, as measured by gross domestic product (GDP), rose 4.9 percent
in the third quarter of 2007, well above the 3.8 percent posted during the
second quarter. Despite the strong third-quarter GDP growth, the unemployment
rate rose slightly for the six-month period. High energy costs, volatile
financial markets and weak housing conditions all contributed to a decline in
consumer confidence during the period.

Financial markets grew increasingly volatile during the reporting period as the
fallout from the troubles in the subprime mortgage sector spread across the
broader fixed income and lending markets. Citing deteriorating financial market
conditions and the negative impact that tighter credit conditions could have in
restraining economic growth, the Federal Open Market Committee (the "Fed")
reduced its federal funds target rate 50 basis points in September, with
additional reductions of 25 basis points in both October and December. At its
December 11 meeting, the Fed noted that strains in financial markets increased
in recent weeks and that incoming data suggested economic growth was slowing. On
December 12, seeking to further improve credit market liquidity, the Fed
announced the creation of a Term Auction Facility (TAF) whereby term funds would
be auctioned to depository institutions against a wide variety of collateral.
TAF auctions are likely to continue for as long as credit market conditions
warrant.

PERFORMANCE ANALYSIS

As of December 31, 2007, Active Assets Money Trust had net assets of
approximately $5.83 billion and an average portfolio maturity of 61 days. For
the six-month period ended December 31, 2007, the Fund provided a total return
of 2.49 percent. For the seven-day period ended December 31, 2007, the Fund
provided an effective annualized yield of 4.72 percent and a current yield of
4.62 percent, while its 30-day moving average yield for December was 4.63
percent. Past performance is no guarantee of future results.

Our strategy in managing the portfolio remained consistent with the Fund's long-
term focus on preservation of capital and liquidity. Over the past six months,
we sought to maintain the Fund's weighted average maturity primarily in the high
50- to low 60-day range given our expectation that the Fed would continue to
reduce its target federal funds rate in order to improve credit market liquidity
and to help insure that housing market deterioration would not spillover into
the broader economy. We made purchases in the three-month and longer segment of
the money market curve of the deposit liabilities and senior obligations of
strong financial institutions and corporations. We barbelled these three-month
and longer term trades with purchases of overnight repurchase agreements and
two-month and shorter traditional asset backed commercial paper.

There is no guarantee that any sectors mentioned will continue to perform as
discussed herein or that securities in such sectors will be held by the Fund in
the future.

<Table>
<Caption>
PORTFOLIO COMPOSITION

Commercial Paper 32.8%
Certificates of Deposit 31.5
Floating Rate Notes 24.3
Repurchase Agreements 6.1
U.S. Government-Debenture Bonds 1.7
U.S. Government-Discount Notes 1.7
Corporate Bond Notes 1.6
Short-Term Bank Note 0.3
</Table>

<Table>
<Caption>
MATURITY SCHEDULE

1 - 30 Days 37.5%
31 - 60 Days 21.6
61 - 90 Days 15.8
91 - 120 Days 8.7
121+ Days 16.4
</Table>

Data as of December 31, 2007. Subject to change daily. All percentages for
portfolio composition and maturity schedule are as a percentage of total
investments. These data are provided for informational purposes only and should
not be deemed a recommendation to buy or sell the securities mentioned. Morgan
Stanley is a full-service securities firm engaged in securities trading and
brokerage activities, investment banking, research and analysis, financing and
financial advisory services.

INVESTMENT STRATEGY

THE FUND INVESTS IN HIGH QUALITY, SHORT-TERM DEBT OBLIGATIONS. IN SELECTING
INVESTMENTS, THE "INVESTMENT ADVISER," MORGAN STANLEY INVESTMENT ADVISORS INC.,
SEEKS TO MAINTAIN THE FUND'S SHARE PRICE AT $1.00. THE SHARE PRICE REMAINING
STABLE AT $1.00 MEANS THAT THE FUND WOULD PRESERVE THE PRINCIPAL VALUE OF YOUR
INVESTMENT.

AN INVESTMENT IN THE FUND IS NOT INSURED OR GUARANTEED BY THE FEDERAL DEPOSIT
INSURANCE CORPORATION OR ANY OTHER GOVERNMENT AGENCY. ALTHOUGH THE FUND SEEKS TO
PRESERVE THE VALUE OF YOUR INVESTMENT AT $1.00 PER SHARE, IT IS POSSIBLE TO LOSE
MONEY BY INVESTING IN THE FUND.

FOR MORE INFORMATION ABOUT PORTFOLIO HOLDINGS

EACH MORGAN STANLEY FUND PROVIDES A COMPLETE SCHEDULE OF PORTFOLIO HOLDINGS IN
ITS SEMIANNUAL AND ANNUAL REPORTS WITHIN 60 DAYS OF THE END OF THE FUND'S SECOND
AND FOURTH FISCAL QUARTERS. THE SEMIANNUAL REPORTS AND THE ANNUAL REPORTS ARE
FILED ELECTRONICALLY WITH THE SECURITIES AND EXCHANGE COMMISSION (SEC) ON FORM
N-CSRS AND FORM N-CSR, RESPECTIVELY. MORGAN STANLEY ALSO DELIVERS THE SEMIANNUAL
AND ANNUAL REPORTS TO FUND SHAREHOLDERS AND MAKES THESE REPORTS AVAILABLE ON ITS
PUBLIC WEB SITE, WWW.MORGANSTANLEY.COM. EACH MORGAN STANLEY FUND ALSO FILES A
COMPLETE SCHEDULE OF PORTFOLIO HOLDINGS WITH THE SEC FOR THE FUND'S FIRST AND
THIRD FISCAL QUARTERS ON FORM N-Q. MORGAN STANLEY DOES NOT DELIVER THE REPORTS
FOR THE FIRST AND THIRD FISCAL QUARTERS TO SHAREHOLDERS, NOR ARE THE REPORTS
POSTED TO THE MORGAN STANLEY PUBLIC WEB SITE. YOU MAY, HOWEVER, OBTAIN THE FORM
N-Q FILINGS (AS WELL AS THE FORM N-CSR AND N-CSRS FILINGS) BY ACCESSING THE
SEC'S WEB SITE, HTTP://WWW.SEC.GOV. YOU MAY ALSO REVIEW AND COPY

THEM AT THE SEC'S PUBLIC REFERENCE ROOM IN WASHINGTON, DC. INFORMATION ON THE
OPERATION OF THE SEC'S PUBLIC REFERENCE ROOM MAY BE OBTAINED BY CALLING THE SEC
AT (800) SEC-0330. YOU CAN ALSO REQUEST COPIES OF THESE MATERIALS, UPON PAYMENT
OF A DUPLICATING FEE, BY ELECTRONIC REQUEST AT THE SEC'S E-MAIL ADDRESS
(PUBLICINFO@SEC.GOV) OR BY WRITING THE PUBLIC REFERENCE SECTION OF THE SEC,
WASHINGTON, DC 20549-0102.

HOUSEHOLDING NOTICE

TO REDUCE PRINTING AND MAILING COSTS, THE FUND ATTEMPTS TO ELIMINATE DUPLICATE
MAILINGS TO THE SAME ADDRESS. THE FUND DELIVERS A SINGLE COPY OF CERTAIN
SHAREHOLDER DOCUMENTS, INCLUDING SHAREHOLDER REPORTS, PROSPECTUSES AND PROXY
MATERIALS, TO INVESTORS WITH THE SAME LAST NAME WHO RESIDE AT THE SAME ADDRESS.
YOUR PARTICIPATION IN THIS PROGRAM WILL CONTINUE FOR AN UNLIMITED PERIOD OF TIME
UNLESS YOU INSTRUCT US OTHERWISE. YOU CAN REQUEST MULTIPLE COPIES OF THESE
DOCUMENTS BY CALLING (800) 869-NEWS, 8:00 A.M. TO 8:00 P.M., ET. ONCE OUR
CUSTOMER SERVICE CENTER HAS RECEIVED YOUR INSTRUCTIONS, WE WILL BEGIN SENDING
INDIVIDUAL COPIES FOR EACH ACCOUNT WITHIN 30 DAYS.

EXPENSE EXAMPLE

As a shareholder of the Fund, you incur ongoing costs, including advisory fees;
distribution and service (12b-1) fees; and other Fund expenses. This example is
intended to help you understand your ongoing costs (in dollars) of investing in
the Fund and to compare these costs with the ongoing costs of investing in other
mutual funds.

The example is based on an investment of $1,000 invested at the beginning of the
period and held for the entire period 07/01/07 - 12/31/07.

ACTUAL EXPENSES

The first line of the table below provides information about actual account
values and actual expenses. You may use the information in this line, together
with the amount you invested, to estimate the expenses that you paid over the
period. Simply divide your account value by $1,000 (for example, an $8,600
account value divided by $1,000 = 8.6), then multiply the result by the number
in the first line under the heading entitled "Expenses Paid During Period" to
estimate the expenses you paid on your account during this period.

HYPOTHETICAL EXAMPLE FOR COMPARISON PURPOSES

The second line of the table below provides information about hypothetical
expenses based on the Fund's actual expense ratio and an assumed rate of return
of 5% per year before expenses, which is not the Fund's actual return. The
hypothetical account values and expenses may not be used to estimate the actual
ending account balance or expenses you paid for the period. You may use this
information to compare the ongoing cost of investing in the Fund and other
funds. To do so, compare this 5% hypothetical example with the 5% hypothetical
examples that appear in the shareholder reports of the other funds.

Please note that the expenses shown in the table are meant to highlight your
ongoing costs only. Therefore, the second line of the table is useful in
comparing ongoing costs, and will not help you determine the relative total cost
of owning different funds that have transactional costs, such as sales charges
(loads), and redemption fees, or exchange fees.

<Table>
<Caption>
BEGINNING ENDING EXPENSES PAID
ACCOUNT VALUE ACCOUNT VALUE DURING PERIOD*
------------- ------------- --------------
07/01/07 -
07/01/07 12/31/07 12/31/07
------------- ------------- --------------

Actual (2.49% return).......................... $1,000.00 $1,024.90 $2.35
Hypothetical (5% annual return before
expenses).................................... $1,000.00 $1,022.89 $2.35
</Table>

- ---------
* Expenses are equal to the Fund's annualized expense ratio of 0.46%
multiplied by the average account value over the period, multiplied by
185**/365 (to reflect the one-half year period).
** Adjusted to reflect non-business days accruals

Active Assets Money Trust
PORTFOLIO OF INVESTMENTS - DECEMBER 31, 2007 (UNAUDITED)

<Table>
<Caption>
ANNUALIZED
PRINCIPAL YIELD
AMOUNT IN ON DATE OF MATURITY
THOUSANDS DESCRIPTION PURCHASE DATE VALUE
- ----------------------------------------------------------------------------------------------------

Commercial Paper (32.5%)
Asset-Backed - Auto (1.0%)
$ 45,000 New Center Asset Trust Series
I............................. 5.88 - 6.19% 01/22/08 - 01/29/07 $ 44,824,125
15,000 New Center Asset Trust Series
II............................ 6.19 01/23/08 14,943,625
--------------
59,767,750
--------------
Asset-Backed - Consumer (7.5%)
31,755 Barton Capital LLC*............. 4.81 01/22/08 31,666,086
20,000 CRC Funding*.................... 5.22 02/07/08 19,894,550
177,655 Gemini Securitization Corp.,
LLC*.......................... 4.94 - 5.53 01/28/08 - 02/28/08 176,786,638
134,157 Old Line Funding, LLC*.......... 5.58 - 6.03 01/07/08 - 01/30/08 133,866,533
15,000 Thames Asset Global
Securitization*............... 5.17 01/22/08 14,955,200
58,925 Thunder Bay Funding LLC*........ 5.63 - 5.93 01/17/08 - 01/22/08 58,758,289
--------------
435,927,296
--------------
Asset-Backed - Corporate (2.7%)
25,000 Ciesco LLC*..................... 4.94 03/26/08 24,713,715
111,711 Nieuw Amsterdam Receivables
Corp.*........................ 5.53 - 6.39 01/09/08 - 01/29/08 111,508,892
20,000 Variable Funding Capital Co.,
LLC*.......................... 4.97 02/20/08 19,863,889
--------------
156,086,496
--------------
Asset-Backed - Diversified
(2.2%)
50,000 Alpine Securitization CP*....... 6.31 01/28/08 49,765,625
10,000 Atlantic Asset Securitization*.. 6.13 01/07/08 9,989,833
50,000 Clipper Receivables Co., LLC*... 6.39 01/14/08 49,885,347
20,000 Three Pillars Funding LLC*...... 5.17 02/15/08 19,872,500
--------------
129,513,305
--------------
Asset-Backed - Securities (3.9%)
76,000 Amstel Funding Corp.*........... 5.52 - 6.82 01/31/08 - 02/27/08 75,452,050
30,000 Galleon Capital LLC*............ 6.43 01/08/08 29,962,667
75,000 Grampian Funding LLC*........... 4.76 - 5.25 02/01/08 - 04/28/08 74,331,339
50,000 Scaldis Capital LLC*............ 4.43 - 5.50 03/03/08 - 03/04/08 49,532,528
--------------
229,278,584
--------------
Banking (3.2%)
48,000 Bank of America Corp. .......... 4.99 03/25/08 47,453,440
95,000 Citigroup Funding Inc. ......... 4.85 - 5.50 03/11/08 - 05/06/08 93,731,328
45,000 JPMorgan Chase & Co. ........... 5.12 - 5.13 02/04/08 - 03/04/08 44,685,612
--------------
185,870,380
--------------
Finance - Auto (2.4%)
140,000 Toyota Motor Credit Corp. ...... 5.31 02/13/08 139,130,444
--------------
</Table>

See Notes to Financial Statements

Active Assets Money Trust
PORTFOLIO OF INVESTMENTS - DECEMBER 31, 2007 (UNAUDITED) continued

International Banks (9.6%)
$ 25,000
Dexia Delaware LLC.............. 4.93 % 02/19/08 $ 24,834,968
75,000 DNB Nor Bank ASA*............... 4.80 03/31/08 74,111,250
25,000 KBC Financial Products
International*................ 4.90 05/22/08 24,528,639
50,000 Kommunalkredit International
Bank*......................... 5.37 02/13/08 49,689,444
25,000 Natexis Banques Populaires U.S.
Finance Co., LLC.............. 5.13 02/12/08 24,853,000
50,000 Royal Bank of Scotland*......... 4.88 - 4.93 05/23/08 - 05/28/08 49,032,944
147,000 Santander Central Hispano
Finance (Delaware) Inc. ...... 4.73 - 5.14 03/28/08 - 06/02/08 144,448,158
90,000 Societe Generale N.A., Inc. .... 4.91 - 4.93 03/24/08 - 04/21/08 88,810,403
80,000 UBS Finance (Delaware) LLC...... 4.94 04/30/08 78,709,833
--------------
559,018,639
--------------
Total Commercial Paper (Cost $1,894,592,894)............................ 1,894,592,894
--------------
Certificates of Deposit (31.3%)
International Banks
20,000 Bank of Montreal - Chicago...... 5.09 04/18/08 20,000,000
185,000 Bank of Scotland................ 4.91 - 5.15 02/22/08 - 06/11/08 185,003,035
273,300 Barclays Bank PLC............... 4.70 - 5.50 02/13/08 - 06/04/08 273,300,000
175,000 BNP Paribas..................... 4.74 - 4.88 04/24/08 - 06/27/08 175,000,000
280,000 Calyon.......................... 4.78 - 5.08 01/24/08 - 03/25/08 280,000,000
25,000 Canadian Imperial Bank.......... 4.78 03/12/08 25,000,000
140,000 Credit Suisse................... 4.87 - 5.46 03/12/08 - 06/06/08 140,000,000
218,600 NATIXIS......................... 4.67 - 5.15 02/04/08 - 05/06/08 218,669,834
90,000 Royal Bank of Scotland PLC...... 4.80 - 5.17 02/14/08 - 04/30/08 90,000,000
40,000 Skandinaviska Enskilda Banken
AB............................ 4.85 01/25/08 40,003,934
50,000 Societe Generale ............... 4.95 - 5.08 03/20/08 - 04/04/08 50,000,000
35,000 Svenska Handelsbanken........... 5.13 04/07/08 35,000,000
125,000 Toronto Dominion Bank........... 4.86 - 5.13 02/29/08 - 06/20/08 125,000,000
166,000 UBS AG.......................... 4.95 - 5.48 02/27/08 - 05/05/08 166,000,000
--------------
Total Certificates of Deposit (Cost $1,822,976,803)..................... 1,822,976,803
--------------
Floating Rate Notes (24.1%)
Asset-Backed - Structured
Investment Vehicles (12.4%)
50,000 Beta Finance*................... 5.24+ 01/11/08++ 50,002,605
280,000 Cullinan Finance Corp.*......... 4.32+ 01/02/08++ 279,994,948
150,000 Links Finance LLC............... 5.20+ 01/15/08++ 149,999,423
240,000 Links Finance LLC*.............. 4.86 - 5.04+ 01/25/08 - 02/12/08++ 239,998,022
--------------
719,994,998
--------------
</Table>

See Notes to Financial Statements

Active Assets Money Trust
PORTFOLIO OF INVESTMENTS - DECEMBER 31, 2007 (UNAUDITED) continued

Banking (0.7%)
$ 42,425 JPMorgan Chase & Co. ........... 5.15+% 01/25/08++ $ 42,427,867
--------------
Domestic Banks (2.8%)
60,000 American Express Centurion
Bank.......................... 5.00+ 01/18/08++ 60,000,434
100,000 U.S. Bank NA, Cincinnati........ 5.20+ 01/03/08++ 100,000,080
--------------
160,000,514
--------------
Finance-Automotive (0.7%)
43,000 American Honda Finance Corp.*... 4.87+ 02/06/08++ 43,000,000
--------------
International Banks (5.4%)
75,000 Banco Bilbao Vizcaya
Argentaria - NY............... 5.18+ 01/03/08++ 74,993,282
100,000 BNP Paribas*.................... 4.85+ 02/07/08++ 100,000,000
50,000 Credit Suisse................... 5.00+ 02/26/08++ 50,000,000
50,000 NATIXIS......................... 4.77+ 03/31/08++ 49,995,813
40,000 Westpac Banking Corp. .......... 4.97+ 01/29/08++ 39,999,826
--------------
314,988,921
--------------
Investment Banks/Brokers (2.1%)
125,000 Merrill Lynch & Co., Inc.*...... 5.14+ 01/18/08++ 125,000,000
--------------
Total Floating Rate Notes (Cost $1,405,412,300)......................... 1,405,412,300
--------------
Corporate Bond Notes (1.6%)

Asset-Backed - Structured
Investment Vehicles
50,000 Asscher Finance Corp.*.......... 5.45 06/25/08 50,000,000
40,000 Cullinan Finance Corp.*......... 5.40 - 5.45 02/01/08 - 04/25/08 39,996,747
--------------
Total Corporate Bond Notes (Cost $89,996,747)........................... 89,996,747
--------------
Repurchase Agreements (6.0%)
836 Barclays Capital Inc. (dated
12/31/07; proceeds $836,209)
(a)........................... 4.50 01/02/08 836,000
350,000 BNP Paribas Securities Corp.
(dated 12/31/07; proceeds
$350,087,500) (b)............. 4.50 01/02/08 350,000,000
671 The Bank of New York (dated
12/31/07; proceeds $671,220)
(c)........................... 2.50 01/02/08 671,127
--------------
Total Repurchase Agreements (Cost $351,507,127)......................... 351,507,127
--------------
U.S. Government
Agencies - Debenture Bonds
(1.7%)
90,000 Federal Home Loan Banks......... 4.31 - 4.64 04/16/08 - 11/05/08 90,090,710
6,980 Freddie Mac..................... 4.33 08/14/08 7,008,025
--------------

Total U.S. Government Agencies - Debenture Bonds (Cost $97,098,735)..... 97,098,735
--------------
</Table>

See Notes to Financial Statements

Active Assets Money Trust
PORTFOLIO OF INVESTMENTS - DECEMBER 31, 2007 (UNAUDITED) continued

U.S. Government
Agencies - Discount Notes (1.7%)

$ 65,000 Federal Home Loan Banks......... 4.26 - 5.05% 02/15/08 - 03/19/08 $ 64,526,014
25,000 Federal National Mortgage
Association................... 4.33 03/26/08 24,747,066
10,000 Freddie Mac..................... 4.27 05/05/08 9,854,861
--------------
Total U.S. Government Agencies - Discount Notes (Cost $99,127,941)...... 99,127,941
--------------
Short-Term Bank Note (0.3%)
20,000 Bank of America Corp. (Cost
$20,000,000).................. 4.75 04/07/08 20,000,000
--------------

Total Investments (Cost $5,780,712,547) (d)..... 99.2% 5,780,712,547

Other Assets in Excess of Liabilities........... 0.8 49,165,696
----- --------------

Net Assets...................................... 100.0% $5,829,878,243
====== ==============

</Table>

- ----------

<Table>

* Resale is restricted to qualified institutional investors.
+ Rate shown is the rate in effect at December 31, 2007.
++ Date of next interest rate reset.
(a) Collateralized by Federal National Mortgage Assoc. 6.50% due
12/01/37 valued at $852,720.
(b) Collateralized by Federal National Mortgage Assoc. 6.00% due
12/01/37 valued at $357,000,000.
(c) Collateralized by Federal National Mortgage Assoc. 6.00% due
04/01/36 valued at $684,550.
(d) Cost is the same for federal income tax purposes.
</Table>

See Notes to Financial Statements

Active Assets Money Trust
FINANCIAL STATEMENTS

Statement of Assets and Liabilities
December 31, 2007 (unaudited)

<Table>

Assets:
Investments in securities, at value (cost $5,780,712,547)..... $5,780,712,547
Receivable for:
Interest................................................... 36,091,434
Shares of beneficial interest sold......................... 25,466,182
Prepaid expenses and other assets............................. 252,635
--------------
Total Assets............................................... 5,842,522,798
--------------
Liabilities:
Payable for:
Investments purchased...................................... 10,000,000
Dividends to shareholders.................................. 19,282
Investment advisory fee.................................... 1,257,324
Distribution fee........................................... 504,260
Administration fee......................................... 252,130
Transfer agent fee......................................... 159,935
Accrued expenses and other payables........................... 451,624
--------------
Total Liabilities.......................................... 12,644,555
--------------
Net Assets................................................. $5,829,878,243
==============
Composition of Net Assets:
Paid-in-capital............................................... $5,829,886,123
Accumulated undistributed net investment income............... 41,798
Accumulated net realized loss................................. (49,678)
--------------
Net Assets................................................. $5,829,878,243
==============
Net Asset Value Per Share
5,829,927,922 shares outstanding (unlimited shares authorized
of $.01 par value)............................................ $1.00
=====

</Table>

See Notes to Financial Statements

Active Assets Money Trust
FINANCIAL STATEMENTS continued

Statement of Operations
For the six months ended December 31, 2007 (unaudited)

<Table>

Net Investment Income:
Interest Income................................................ $196,195,700
------------
Expenses
Investment advisory fee........................................ 8,845,916
Distribution fee............................................... 3,680,546
Transfer agent fees and expenses............................... 1,924,425
Administration fee............................................. 1,840,273
Shareholder reports and notices................................ 177,270
Custodian fees................................................. 154,729
Trustees' fees and expenses.................................... 63,429
Registration fees.............................................. 44,621
Professional fees.............................................. 38,009
Other.......................................................... 229,309
------------
Total Expenses.............................................. 16,998,527
Less: expense offset........................................... (14,242)
------------
Net Expenses................................................ 16,984,285
------------
Net Investment Income....................................... 179,211,415
------------
Net Realized Loss on:
Investments.................................................... (10,046,126)
Net increase from payments by affiliate (Note 4)............... 9,996,448
------------
Net Realized Loss........................................... (49,678)
------------
Net Increase................................................... $179,161,737
============

</Table>

See Notes to Financial Statements

Active Assets Money Trust
FINANCIAL STATEMENTS continued

Statements of Changes in Net Assets

<Table>
<Caption>
FOR THE SIX FOR THE YEAR
MONTHS ENDED ENDED
DECEMBER 31, 2007 JUNE 30, 2007
----------------- ---------------
(unaudited)

Increase (Decrease) in Net Assets:
Operations:
Net investment income............................. $ 179,211,415 $ 424,325,214
Net realized gain (loss).......................... (10,046,126) 4,606
Net increase from payments by affiliate........... 9,996,448 --
--------------- ---------------
Net Increase................................... 179,161,737 424,329,820
--------------- ---------------
Dividends and Distributions to Shareholders from:
Net investment income............................. (179,219,657) (424,318,724)
Net realized gain................................. -- (4,606)
--------------- ---------------
Total Dividends and Distributions.............. (179,219,657) (424,323,330)
--------------- ---------------

Net decrease from transactions in shares of
beneficial interest............................. (2,148,660,986) (1,899,480,615)

Net Decrease................................... (2,148,718,906) (1,899,474,125)
Net Assets:
Beginning of period............................... 7,978,597,149 9,878,071,274
--------------- ---------------
End of Period
(Including accumulated undistributed net
investment income of $41,798 and $50,040,
respectively)..................................... $ 5,829,878,243 $ 7,978,597,149
=============== ===============

</Table>

See Notes to Financial Statements

Active Assets Money Trust
NOTES TO FINANCIAL STATEMENTS - DECEMBER 31, 2007 (UNAUDITED)

1. Organization and Accounting Policies
Active Assets Money Trust (the "Fund") is registered under the Investment
Company Act of 1940, as amended (the "Act"), as a diversified, open-end
management investment company. The Fund's investment objective is high current
income, preservation of capital and liquidity. The Fund was organized as a
Massachusetts business trust on March 30, 1981 and commenced operations on July
7, 1981.

The following is a summary of significant accounting policies:

A. Valuation of Investments -- Portfolio securities are valued at amortized
cost, which approximates market value, in accordance with Rule 2a-7 under the
Act.

B. Accounting for Investments -- Security transactions are accounted for on the
trade date (date the order to buy or sell is executed). Realized gains and
losses on security transactions are determined by the identified cost method.
Discounts are accreted and premiums are amortized over the life of the
respective securities. Interest income is accrued daily.

C. Repurchase Agreements -- The Fund may invest directly with institutions in
repurchase agreements. The Fund's custodian receives the collateral, which is
marked-to-market daily to determine that the value of the collateral does not
decrease below the repurchase price plus accrued interest.

D. Federal Income Tax Policy -- It is the Fund's policy to comply with the
requirements of the Subchapter M of the Internal Revenue Code applicable to
regulated investment companies and to distribute substantially all of its
taxable and non taxable income to its shareholders. Therefore, no federal income
tax provision is required. The Fund files tax returns with the U.S. Internal
Revenue Service and New York. The Fund adopted the provisions of the Financial
Accounting Standards Board ("FASB") Interpretation No. 48 ("FIN 48") Accounting
for Uncertainty in Income Taxes on June 29, 2007. FIN 48 sets forth a minimum
threshold for financial statement recognition of the benefit of a tax position
taken or expected to be taken in a tax return. The implementation of FIN 48 did
not result in any unrecognized tax benefits in the accompanying financial
statements. If applicable, the Fund recognizes interest accrued related to
unrecognized tax benefits in interest expense and penalties in other expenses in
the Statement of Operations. Each of the tax years in the four year period ended
December 31, 2007, remains subject to examination by taxing authorities.

E. Dividends and Distributions to Shareholders -- The Fund records dividends and
distributions to shareholders as of the close of each business day.

Active Assets Money Trust
NOTES TO FINANCIAL STATEMENTS - DECEMBER 31, 2007 (UNAUDITED) continued

F. Use of Estimates -- The preparation of financial statements in accordance
with generally accepted accounting principles requires management to make
estimates and assumptions that affect the reported amounts and disclosures.
Actual results could differ from those estimates.

2. Investment Advisory/Administration Agreements
Pursuant to an Investment Advisory Agreement with Morgan Stanley Investment
Advisors Inc. (the "Investment Adviser"), the Fund pays the Investment Adviser
an advisory fee, accrued daily and payable monthly, by applying the following
annual rates to the net assets of the Fund determined as of the close of each
business day: 0.45% to the portion of the daily net assets not exceeding $250
million; 0.375% to the portion of the daily net assets exceeding $250 million
but not exceeding $750 million; 0.325% to the portion of the daily net assets
exceeding $750 million but not exceeding $1.25 billion; 0.30% to the portion of
the daily net assets exceeding $1.25 billion but not exceeding $1.5 billion;
0.275% to the portion of the daily net assets exceeding $1.5 billion but not
exceeding $1.75 billion; 0.25% to the portion of the daily net assets exceeding
$1.75 billion but not exceeding $2.25 billion; 0.225% to the portion of the
daily net assets exceeding $2.25 billion but not exceeding $2.75 billion; 0.20%
to the portion of the daily net assets exceeding $2.75 billion but not exceeding
$15 billion; 0.199% to the portion of the daily net assets exceeding $15 billion
but not exceeding $17.5 billion; 0.198% to the portion of the daily net assets
exceeding $17.5 billion but not exceeding $25 billion; 0.197% to the portion of
the daily net assets exceeding $25 billion but not exceeding $30 billion; and
0.196% to the portion of the daily net assets exceeding $30 billion.

Pursuant to an Administration Agreement with Morgan Stanley Services Company
Inc. (the "Administrator"), an affiliate of the Investment Adviser, the Fund
pays an administration fee, accrued daily and payable monthly, by applying the
annual rate of 0.05% to the fund's daily net assets.

Under an agreement between the Administrator and State Street Bank and Trust
Company ("State Street"), State Street provides certain administrative services
to the Fund. For such services, the Administrator pays State Street a portion of
the fee the Administrator receives from the Fund.

3. Plan of Distribution
Morgan Stanley Distributors Inc. (the "Distributor"), an affiliate of the
Investment Adviser and Administrator, is the distributor of the Fund's shares
and in accordance with a Plan of Distribution (the "Plan") pursuant to Rule 12b-
1 under the Act, finances certain expenses in connection with the promotion of
sales of Fund shares.

Active Assets Money Trust
NOTES TO FINANCIAL STATEMENTS - DECEMBER 31, 2007 (UNAUDITED) continued

Reimbursements for these expenses are made in monthly payments by the Fund to
the Distributor, which will in no event exceed an amount equal to a payment at
the annual rate of 0.15% of the Fund's average daily net assets during the
month. Expenses incurred by the Distributor pursuant to the Plan in any fiscal
year will not be reimbursed by the Fund through payments accrued in any
subsequent fiscal year. For the six months ended December 31, 2007, the
distribution fee was accrued at the annual rate of 0.10%.

4. Security Transactions and Transactions with Affiliates
The cost of purchases and proceeds from sales/maturities of portfolio securities
for the six months ended December 31, 2007, aggregated $35,809,426,355 and
$38,070,460,445, respectively.

On October 23, 2007, a security owned by the Fund was subject to a credit
downgrade by a rating agency. As a result of this downgrade, the Adviser
determined that the security was no longer an eligible security for the Fund to
own. As a result, the Adviser purchased this security from the Fund at amortized
cost plus accrued interest. Prior to the purchase, the Fund owned $100,000,000
par value of this security. Had this security been sold to a third party, the
Fund would have realized a loss of approximately $9,996,448. As a result, this
estimated loss along with an offsetting payment from the Adviser has been
reflected in the Statement of Operations and Statements of Changes in Net
Assets. The net result of this transaction, including the purchase of the
security at amortized cost by the Adviser, had no impact on the Fund's net
assets, net asset value per share or net investment income.

Morgan Stanley Trust, an affiliate of the Investment Adviser, Administrator and
Distributor, is the Fund's transfer agent.

The Fund has an unfunded noncontributory defined benefit pension plan covering
certain independent Trustees of the Fund who will have served as independent
Trustees for at least five years at the time of retirement. Benefits under this
plan are based on factors which include years of service and compensation. The
Trustees voted to close the plan to new participants and eliminate the future
benefits growth due to increases to compensation after July 31, 2003. Aggregate
pension costs for the six months ended December 31, 2007, included in Trustees'
fees and expenses in the Statement of Operations amounted to $3,000. At December
31, 2007, the Fund had an accrued pension liability of $61,467 which is included
in accrued expenses in the Statement of Assets and Liabilities.

The Fund has an unfunded Deferred Compensation Plan (the "Compensation Plan")
which allows each independent Trustee to defer payment of all, or a portion, of
the fees he or she receives for serving on the Board of Trustees. Each eligible
Trustee generally may elect to have the deferred amounts credited with a return
equal to the total return on one or more of the Morgan Stanley funds that are

Active Assets Money Trust
NOTES TO FINANCIAL STATEMENTS - DECEMBER 31, 2007 (UNAUDITED) continued

offered as investment options under the Compensation Plan.
Appreciation/depreciation and distributions received from these investments are
recorded with an offsetting increase/decrease in the deferred compensation
obligation and do not affect the net asset value of the Fund.

5. Shares of Beneficial Interest
Transactions in shares of beneficial interest, at $1.00 per share, were as
follows:

<Table>
<Caption>
FOR THE SIX FOR THE YEAR
MONTHS ENDED ENDED
DECEMBER 31, 2007 JUNE 30, 2007
----------------- ---------------
(unaudited)

Shares sold....................................... 12,636,512,016 34,258,282,629
Shares issued in reinvestment of dividends and
distributions................................... 178,049,714 422,497,709
--------------- ---------------
12,814,561,730 34,680,780,338
Shares redeemed................................... (14,963,222,716) (36,580,260,953)
--------------- ---------------
Net decrease in shares outstanding................ (2,148,660,986) (1,899,480,615)
=============== ===============

</Table>

6. Expense Offset
The expense offset represents a reduction of the fees and expenses for interest
earned on cash balances maintained by the Fund with the transfer agent.

7. Accounting Pronouncement
In September 2006, Statement of Financial Accounting Standards No. 157, Fair
Value Measurements (SFAS 157), was issued and is effective for fiscal years
beginning after November 15, 2007. SFAS 157 defines fair value, establishes a
framework for measuring fair value and expands disclosures about fair value
measurements. Management is currently evaluating the impact the adoption of SFAS
157 will have on the Fund's financial statement disclosures.

Active Assets Money Trust
FINANCIAL HIGHLIGHTS continued
Selected ratios and per share data for a share of beneficial interest
outstanding throughout each period:

<Table>
<Caption>
FOR THE SIX FOR THE YEAR ENDED JUNE 30,
MONTHS ENDED -----------------------------------------------
DECEMBER 31,2007 2007 2006 2005 2004 2003
---------------- ------- ------- ------- ------- -------
(unaudited)

Selected Per Share Data:

Net asset value, beginning of period......... $ 1.00 $ 1.00 $ 1.00 $ 1.00 $ 1.00 $ 1.00
------ ------ ------ ------ ------ ------

Net income from investment operations........ 0.025 0.049 0.038 0.018 0.007 0.011

Less dividends from net investment income.... (0.025) (0.049)+ (0.038)+ (0.018)+ (0.007)+ (0.011)+
------- ------- ------- ------- ------- -------

Net asset value, end of period............... $ 1.00 $ 1.00 $ 1.00 $ 1.00 $ 1.00 $ 1.00
====== ====== ====== ====== ====== ======

Total Return................................. 2.49%(1)(3) 4.99% 3.85% 1.82% 0.68% 1.13%

Ratios to Average Net Assets:
Total expenses (before expense offset)....... 0.46%(2) 0.47% 0.44% 0.42% 0.41% 0.41%

Net investment income........................ 4.86%(2) 4.88% 3.63% 1.80% 0.67% 1.12%

Supplemental Data:
Net assets, end of period, in millions....... $5,830 $7,979 $9,878 $21,601 $21,655 $23,278
</Table>

- ----------

<Table>

+ Includes capital gain distribution of less than $0.001.
(1) Not annualized.
(2) Annualized.
(3) The Adviser fully reimbursed the Fund for the loss incurred resulting from
the disposal of an investment. Without this reimbursement, the total
return was 2.34%. See Note 4.
</Table>

(This Page Intentionally Left Blank)

TRUSTEES

Frank L. Bowman
Michael Bozic
Kathleen A. Dennis
James F. Higgins
Dr. Manuel H. Johnson
Joseph J. Kearns
Michael F. Klein
Michael E. Nugent
W. Allen Reed
Fergus Reid

OFFICERS

Michael E. Nugent
Chairperson of the Board

Ronald E. Robison
President and Principal Executive Officer

J. David Germany
Vice President

Dennis F. Shea
Vice President

Amy R. Doberman
Vice President

Carsten Otto
Chief Compliance Officer

Stefanie V. Chang Yu
Vice President

Francis J. Smith
Treasurer and Chief Financial Officer

Mary E. Mullin
Secretary

TRANSFER AGENT

Morgan Stanley Trust
Harborside Financial Center, Plaza Two
Jersey City, New Jersey 07311

INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

Deloitte & Touche LLP
Two World Financial Center
New York, New York 10281

LEGAL COUNSEL

Clifford Chance US LLP
31 West 52nd Street
New York, New York 10019

COUNSEL TO THE INDEPENDENT TRUSTEES

Kramer Levin Naftalis & Frankel LLP
1177 Avenue of the Americas
New York, New York 10036

INVESTMENT ADVISER

Morgan Stanley Investment Advisors Inc.
522 Fifth Avenue
New York, New York 10036

The financial statements included herein have been taken from the records of the
Fund without examination by the independent auditors and accordingly they do not
express an opinion thereon.

This report is submitted for the general information of the shareholders of the
Fund. For more detailed information about the Fund, its fees and expenses and
other pertinent information, please read its Prospectus. The Fund's Statement of
Additional Information contains additional information about the Fund, including
its trustees. It is available, without charge, by calling (800) 869-NEWS.

This report is not authorized for distribution to prospective investors in the
Fund unless preceded or accompanied by an effective Prospectus. Read the
Prospectus carefully before investing.

Morgan Stanley Distributors Inc., member FINRA.

[MORGAN STANLEY LOGO]

MORGAN STANLEY FUNDS

Active Assets

Money Trust

Semiannual Report
December 31, 2007

AAMSAN
IU08-00805P-Y12/07

Item 2. Code of Ethics.

Not applicable for semiannual reports.

Item 3. Audit Committee Financial Expert.

Not applicable for semiannual reports.

Item 4. Principal Accountant Fees and Services

Not applicable for semiannual reports.

Item 5. Audit Committee of Listed Registrants.

Not applicable for semiannual reports.

Item 6.

Refer to Item 1.

Item 7. Disclosure of Proxy Voting Policies and Procedures for Closed-End
Management Investment Companies.

Not applicable for semiannual reports.

Item 8. Portfolio Managers of Closed-End Management Investment Companies

Applicable only to reports filed by closed-end funds.

Item 9. Closed-End Fund Repurchases

Applicable to reports filed by closed-end funds.

Item 10. Submission of Matters to a Vote of Security Holders

Not applicable.

Item 11. Controls and Procedures

(a) The Fund's principal executive officer and principal financial officer have
concluded that the Fund's disclosure controls and procedures are sufficient to
ensure that information required to be disclosed by the Fund in this Form N-CSR
was recorded, processed, summarized and reported within the time periods
specified in the Securities and Exchange Commission's rules and forms, based
upon such officers' evaluation of these controls and procedures as of a date
within 90 days of the filing date of the report.

(b) There were no changes in the registrant's internal control over financial
reporting that occurred during the second fiscal quarter of the period covered
by this report that has materially affected, or is reasonably likely to
materially affect, the registrant's internal control over financial reporting.

Item 12. Exhibits

(a) Code of Ethics - Not applicable for semiannual reports.

(b) A separate certification for each principal executive officer and principal
financial officer of the registrant are attached hereto as part of EX-99.CERT.

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

Active Assets Money Trust

/s/ Ronald E. Robison
Ronald E. Robison
Principal Executive Officer
February 15, 2008

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, this report has been signed by the following
persons on behalf of the registrant and in the capacities and on the dates
indicated.

/s/ Ronald E. Robison
Ronald E. Robison
Principal Executive Officer
February 15, 2008

/s/ Francis Smith
Francis Smith
Principal Financial Officer
February 15, 2008