Spoon the grape chunks into six 3-ounce popsicle molds, dividing evenly. Gently tap the molds on the countertop or use the spoon to press the grapes down.
Pour any grape juice that remains in the blender/processor evenly over all the pops. This little bit of liquid will help to "glue" the bits of frozen grapes together as the popsicles freeze.
Any seedless table grape will work for this recipe, but the quality, sweetness and flavor of the grapes you start with will have a big impact on how your grape popsicles taste once frozen.