Peel pomegranates; carefully remove seeds, and press pulp through a food mill. Add sugar to pulp; stir until dissolved. Stir in water.
Pour mixture into freezer can of a 1-gallon hand-turned or electric freezer. Freeze according to manufacturers instructions.
Note: Ice may be stored in freezer compartment of refrigerator until serving time. Let stand at room temperature 10 to 15 minutes before serving.