In medium bowl, mix together blackberry fruit pulp, honey and ½ cup water, stirring until honey dissolves.
Evenly divide blackberry mixture among eight 3-oz. ice pop molds. Transfer molds to freezer; freeze until slushy, about 1 hour. Insert Popsicle stick into each mold. Freeze until ice pops are solid, about 3 hours more.
To serve, quickly run bottom of molds under hot water before unmolding.