AGREEMENT JOINT FILING OF SCHEDULE 13D AND ALL FUTURE AMENDMENTS TO SCHEDULE 13D

Exhibit 24

AGREEMENT

JOINT FILING OF SCHEDULE 13D AND ALL FUTURE AMENDMENTS TO SCHEDULE 13D

Each of the undersigned hereby agrees to file jointly the Statement on Schedule 13D to which this Agreement is attached, and any amendments to the Statement on Schedule 13D (the “Schedule 13D”) with respect to Common Shares of Reddy Ice Holdings, Inc. which may be deemed necessary, pursuant to Regulation 13D under the Securities Exchange Act of 1934.

It is understood and agreed that each of the parties hereto is responsible for the timely filing of such statement and any future amendments to the Schedule 13D, and for the completeness and accuracy of the information concerning such party contained therein, but such party is not responsible for the completeness or accuracy of information concerning any other party unless such party knows or has reason to believe that such information is inaccurate.

It is understood and agreed that a copy of this Agreement shall be attached as an exhibit to the Statement on the Schedule 13D, and any future amendments to the Schedule 13D, filed on behalf of each of the parties hereto.

Date: May 16, 2007

SHAMROCK ACTIVIST VALUE FUND, L.P.
By:		Shamrock Activist Value Fund GP, L.L.C., its general partner
By:		Shamrock Partners Activist Value Fund, L.L.C., its managing member
By:		/s/ Xxxxxxx X. XxXxxxxxx
		Name:		Xxxxxxx X. XxXxxxxxx
		Title:		Vice President

SHAMROCK ACTIVIST VALUE FUND II, L.P.
By:		Shamrock Activist Value Fund GP, L.L.C., its general partner
By:		Shamrock Partners Activist Value Fund, L.L.C., its managing member
By:		/s/ Xxxxxxx X. XxXxxxxxx
		Name:		Xxxxxxx X. XxXxxxxxx
		Title:		Vice President
SHAMROCK ACTIVIST VALUE FUND III, L.P.
By:		Shamrock Activist Value Fund GP, L.L.C., its general partner
By:		Shamrock Partners Activist Value Fund, L.L.C., its managing member
By:		/s/ Xxxxxxx X. XxXxxxxxx
		Name:		Xxxxxxx X. XxXxxxxxx
		Title:		Vice President
SHAMROCK ACTIVIST VALUE FUND GP, L.L.C.
By:		Shamrock Partners Activist Value Fund, L.L.C., its managing member
By:		/s/ Xxxxxxx X. XxXxxxxxx
		Name:		Xxxxxxx X. XxXxxxxxx
		Title:		Vice President
SHAMROCK PARTNERS ACTIVIST VALUE FUND, L.L.C.
By:		/s/ Xxxxxxx X. XxXxxxxxx
		Name:		Xxxxxxx X. XxXxxxxxx
		Title:		Vice President