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 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 *
MOGHADAM HAMID R
  2. Issuer Name and Ticker or Trading Symbol
AMB PROPERTY CORP [AMB]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
__X__ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
Chairman & CEO
(Last)
(First)
(Middle)
C/O AMB PROPERTY CORPORATION, PIER 1, BAY 1
3. Date of Earliest Transaction (Month/Day/Year)
01/02/2004
(Street)

SAN FRANCISCO, CA 94111
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) 01/02/2004   D   33,555 D (2) 1,773,406(3) D  
Stock Units(1) 01/02/2004   A   33,555 A (2) 1,773,406(3) I See footnote(4)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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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

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
MOGHADAM HAMID R
C/O AMB PROPERTY CORPORATION
PIER 1, BAY 1
SAN FRANCISCO, CA 94111
  X     Chairman & CEO  

Signatures

 /s/ Tamra D. Browne pursuant to a power of attorney dated 01/14/2003.   01/05/2004
**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) Upon vesting of the 33,555 shares of restricted stock, the reporting person deferred these shares into the Amended and Restated AMB Nonqualified Deferred Compensation Plan (the "Plan"). The deferral of these shares was credited to the reporting person's account in the form of an equivalent number of stock units, each of which represents the reporting person's right to receive a share of AMB common stock upon distribution of his account. Distribution will occur upon retirement, death, other termination of employment or disability, upon AMB's change of control or on such other date as the reporting person elects.
(2) Solely a change in the form of ownership.
(3) Of the 1,773,406 securities beneficially owned, 54,785 are directly owned (D), 1,522,108 shares are indirectly held (I) through a Trust FBO reporting person with reporting person and spouse as sole trustees, 131,776 securities are indirectly held (I) through the HRM Trust 1997, U/A/D June 17, 1997 and 64,737 securities are held indirectly (I) through a rabbi trust pursuant to the Plan.
(4) The stock units are held indirectly through a rabbi trust pursuant to the Plan.

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