Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
Johnson Teresa H
  2. Issuer Name and Ticker or Trading Symbol
MONEYGRAM INTERNATIONAL INC [MGI]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
VP, General Counsel, Sect
(Last)
(First)
(Middle)
1550 UTICA AVE. SO., SUITE 100
3. Date of Earliest Transaction (Month/Day/Year)
01/03/2005
(Street)

MINNNEAPOLIS, MN 55416
4. If Amendment, Date Original Filed(Month/Day/Year)
6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)
2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)
4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)
5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)
6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)
7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Common Stock (1) 01/03/2005   F   196 D $ 21.18 10,148 D  

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)
2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)
5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)
6. Date Exercisable and Expiration Date
(Month/Day/Year)
7. Title and Amount of Underlying Securities
(Instr. 3 and 4)
8. Price of Derivative Security
(Instr. 5)
9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)
10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)
11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Stock Units (2) (2) 01/03/2005   A   3.7436     (2)   (2) Common Stock 3.7436 $ 0 7,917.5517 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
Johnson Teresa H
1550 UTICA AVE. SO.
SUITE 100
MINNNEAPOLIS, MN 55416
      VP, General Counsel, Sect  

Signatures

 Claudia Saavedra for Teresa H. Johnson   01/04/2005
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) Shares were surrendered for payment of taxes in connection with the vesting of restricted stock granted by Viad Corp on January 3, 2003. In a spin-off effective June 30, 2004, holders of Viad restricted stock received one share of MoneyGram restricted stock and one share of Viad restricted stock for each share of Viad restricted stock held.
(2) The stock units of MoneyGram International, Inc. (MGI) reported herein are held pursuant to the Viad Corp Deferred Compensation Plan (a plan assumed by MGI), and include units accrued on January 3, 2005 as a result of dividend reinvestment under the plan. Each unit is equivalent to one share of MGI common stock. Units are payable in MGI stock upon the termination of the reporting person's service. The transaction is exempt pursuant to Rule 16b-3(d).

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