Combine 1/2 cup water, sugar, honey and lavender in a small saucepan.
Bring to a boil, stirring until sugar dissolves.
Simmer for 1 minute.
Remove from heat and let steep, about 25 minutes.
Pour through a strainer to remove lavender
Add 2 cups cold water to strained syrup, mix well, and pour into popsicle molds
Insert sticks and freeze for 6-8 hours (preferably overnight).