Place the watermelon chunks into the blender jar, ensuring it's not overfilled to allow smooth blending.
Add the lime juice and chopped mint leaves to the blender.
Blend on high speed until the mixture is completely smooth and uniform in color, about 30 seconds. Look for a vibrant red-pink liquid free of large fruit pieces.
Pour the blended mixture evenly into silicone molds or small plastic cups, filling each about 3/4 full. Insert sticks if using molds with handles or prepare for freezing in cups.
Place the molds or cups in the freezer and freeze for at least 4 hours, until solid and icy. The mixture should be firm and have a crystalline texture when fully frozen.
To serve, run the molds briefly under warm water to loosen the pops, then gently remove them. Serve immediately for a refreshing, icy treat with aromatic mint and bright watermelon flavor.