In a blender, combine the watermelon, sugar, and vodka. Blend until the mixture is smooth. Add the mint and pulse once to combine. Pour the mixture into the pop molds. Insert the wooden sticks all the way down the inside the molds. Freeze for at least 10 hours or preferably overnight. To unfreeze the ice pops, insert the molds in hot water for 5 to 10 seconds. Serve immediately.
*Cook's Note: For nonalcoholic Watermelon Pops, substitute 3/4 cup orange juice for the vodka.