In a small saucepan, mix the sugar and water together. Heat on medium-high until the sugar dissolves and the mixture thickens to a syrupy consistency. Allow to cool.
Mix together the simple syrup, key lime juice, and rum together.
Pour the key lime mojito into popsicle molds. Evenly divide the kiwi slices among the popsicle molds. Insert popsicle sticks and freeze until solid – at least 3 -4 hours.
To remove the popsicles, run warm water on the outside of the molds and gently pull on the popsicle stick.
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