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 * CURTIS MIRANDA   2. Issuer Name and Ticker or Trading Symbol LIBERTY MEDIA INTERNATIONAL INC [LBTY] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Senior Vice President (Last) (First) (Middle) 12300 LIBERTY BLVD. 3. Date of Earliest Transaction (Month/Day/Year) 06/15/2005 (Street) ENGLEWOOD, CO 80112 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

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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 Option (right to buy) (1)

$ 33.92

06/15/2005

D

7,788

(2)

08/04/2005

Series A Common Stock

7,788

(3)

0

D

Stock Option (right to buy) (1)

$ 33.92

06/15/2005

D

10,126

(2)

07/23/2007

Series A Common Stock

10,126

(3)

0

D

Stock Option (righ to buy) (1)

$ 33.92

06/15/2005

D

54,554

(2)

12/29/2008

Series A Common Stock

54,554

(3)

0

D

Stock Option (right to buy) (1)

$ 33.92

06/15/2005

D

15,127

(4)

02/28/2011

Series A Common Stock

15,127

(3)

0

D

Stock Option (right to buy) (1)

$ 33.92

06/15/2005

D

6,649

(5)

07/31/2013

Series A Common Stock

6,649

(3)

0

D

Stock Option (right to buy)

$ 33.41 (6)

06/15/2005

D

63,830 (6)

(7)

06/22/2014

Series A Common Stock

63,830

(3)

0

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
CURTIS MIRANDA 12300 LIBERTY BLVD. ENGLEWOOD, CO 80112			Senior Vice President

Signatures

/s/ Miranda Curtis		06/15/2005
**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)	The option was acquired pursuant to anti-dilution provisions in the incentive plan of Liberty Media Corporation ("LMC") in connection with the spin off of the Issuer from LMC on June 7, 2004 and subsequently adjusted as to exercise price and number of shares pursuant to anti-dilution provisions in the incentive plan of the Issuer in connection with the Issuer's rights offering effective August 23, 2004 (the "Rights Offering").
(2)	The option was 100% vested.
(3)	The option was assumed by Liberty Global, Inc. ("LGI") pursuant to a merger agreement providing for the merger of the Issuer and UnitedGlobalCom, Inc. with wholly-owned subsidiaries of LGI and replaced with an option to purchase an equivalent number of shares of LGI Series A Common Stock at the same exercise price.
(4)	The option provided for vesting as to 25% of the total number of shares on each February 28, beginning February 28, 2003.
(5)	The option provided for vesting as to 20% of the total number of shares on each July 31, beginning July 31, 2004.
(6)	The option was adjusted as to exercise price and number of shares pursuant to anti-dilution rights in the option plan of the Issuer in connection with the Rights Offering.
(7)	The option provided for vesting as to 20% of the total number of shares on each June 22, beginning June 22, 2005.
Remarks: The trading symbols for the Issuer's Series A and Series B Common Stock are, respectively, LBTYA and LBTYB.

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