Abstract: A resiliently compressible and stretchable sleeve has an opening at one end adapted to closely fit around a handle of a ball bat, and an interior adapted to closely fit around an enlarged end knob which terminates at the handle. The sleeve is positioned to cover the end knob to cushion the batter's hand from vibrations in the end knob and the sleeve can be readily removed from and replaced on the bat. One or more sleeves, each having a hole extending completely through it, can be positioned on the handle of the bat to provide a reference for gripping the handle away from the end knob.