Add strawberries, 1/2 tablespoon honey, and half of the lemon juice to a blender (or food processor).
Puree and set aside.
Clean blender (or food processor).
Add mango, 1/2 tablespoon honey, and the remaining lemon juice to the blender (or food processor).
Puree and set aside.
Fill popsicle molds or 5 ounces plastic cup with puree, alternating between strawberry and mango. If using cups, insert Popsicle stick into the center of the cup.
Freeze for at least 6 hours or overnight.