A resilient cushion pressing member is provided on the movable pressing structure of a tool for removing tablets from blister packages for pressing engagement of the resilient cushion pressing member against the top, blister surface of a tablet-containing blister package supported on a package support base of the tool, the cushion pressing member formed of an elastomeric material selected to resiliently deform under pressing engagement to distribute pressing force substantially evenly over the engaged surface of a blister package and a tablet contained therein to prevent breakage of the tablet as it is pressed to tear through and exit the bottom, tear sheet of its packaging.