Bring first 5 ingredients to a boil in a medium saucepan over medium-high heat, stirring until sugar is dissolved. Stir in cranberries and apricots, and return to a boil. Reduce heat to medium-low; simmer, stirring occasionally, 10 to 15 minutes or until berries begin to split and mixture begins to thicken.
Remove from heat; cool 30 minutes. Discard cinnamon and ginger. Pour into a 3-cup mold; cover and chill 8 hours or until set.