In a small saucepan, combine water, sugar, lime zest and ginger. Whisk over high heat until the sugar completely dissolves and the mixture comes to a boil. Set aside and allow to cool to room temperature.
Strain the syrup into a bowl through a fine sieve. Whisk in the lime juice and combine well.
Line 8 frozen treat molds (if you're in a pinch, you can use small 2 oz paper cups, or even an ice cube tray for teeny-tiny treats) with the slices of kiwi. Ideally they will touch, but not overlap.
Fill each mold with the lime-syrup mixture.
Freeze until they begin to set. If you're using a frozen treat mold that may be an hour, for an ice cube tray, closer to 20-30 minutes. Insert a stick (or toothpick), then freeze until completely frozen.
When you're ready to remove the ice pops, run the mold briefly under hot water to ease the separation. Enjoy!