Place the watermelon chunks into the blender and blend on high speed until completely smooth and no chunks remain, about 30 seconds. Transfer the blended watermelon to a mixing bowl.
Add the finely chopped mint leaves and honey into the watermelon puree. Stir thoroughly to evenly distribute the mint and sweetener.
Pour the mixture into popsicle molds, filling each cavity almost to the top. Insert sticks if using removable molds.
Place the molds into the freezer and freeze for at least 4 hours, or until solid and semi-juicy when touched.
Once frozen, remove the popsicles from the molds by running warm water briefly over the sides to loosen, then carefully extract them. Serve immediately for a soft, icy texture.
