Abstract: The present invention is directed to a gripping device suitable for attachment to a cable pulley exercise machine. In one embodiment, the gripping device of the invention can provide for exercise of upper body muscles with reduced stress on the carpus, radio-ulnar articulation or acromio-clavicular girdle.The gripping device includes an elongate grip member with a pivot member pivotally mounted in a slot at one end thereof and stop at an opposite end thereof for preventing a hand from slipping off the grip member during exertion of an axial load. The free end of the pivot member has an aperture for attaching to the exercise machine.