An exercise apparatus is disclosed having a pair of pulley support units mounted on a door by straps which vertically encircle the door. The support units are interconnected by a series of elastic bands, such as bungee cords that run vertical paths between the support units. The ends of the bands or cords are wrapped around pulleys and terminated such that a handle may be attached to each of the cords at either the top unit or the bottom unit. Various exercises are possible with one or two arms or legs by pulling on the cords with the handle. The apparatus is easily mounted or dismounted from any door or other vertically oriented and fixed-in-place partition and is small enough to fold and store in a small carrying case.