Bring 2/3 cup water and sugar to boil in small saucepan over medium-high heat stirring until sugar dissolves Move simple syrup to small bowl and chill until cold about 1 hour
Place blackberries in processor; puree until smooth Pour blackberry puree into strainer set over medium bowl Using rubber spatula press on solids to extract as much puree as possible Discard seeds in strainer
Measure 2 cups blackberry puree and place in another medium bowl for pops reserve any remaining puree for another use Add chilled simple syrup yogurt honey and lemon juice to puree; whisk to blend
Divide mixture among 10 molds each about 1/3 - 1/2 cup capacity Top with mold cover if available and insert stick into each If cover is not available cover top of mold with plastic wrap pulling taut; freeze until partially frozen then insert stick into center of plastic wrap and into pop mixture in each
Freeze pops until firm at least 8 hours or overnight
Dip bottom of mold into hot water 10 to 15 seconds to loosen pops Remove pops from molds and serve
