In a blender, combine strawberries, yogurt, and honey. Blend until smooth.
Fill each popsicle mold one-third of the way with the strawberry mixture.
Add a few blueberries to each mold.
Fill the molds another third of the way with vanilla yogurt.
Add more blueberries.
Top off each mold with the remaining strawberry mixture.
Insert a popsicle stick into each mold and freeze for at least 4 hours.
To remove popsicles from molds, run under warm water for a few seconds.