A pair of handles are provided for attachment to an exercising apparatus having at least one that cable that provides resistance to a force exerted on the cable. Each handle is formed of a handgrip of a size suitable for grasping in the hand of a user. Each handle also includes a single, solid, rigid rod bent to define a straight, cylindrical grip attachment portion that fits within the hand grip, a straight proximal portion that is inclined relative to the grip attachment portion at two angles, considered in two orthogonal planes of reference, both of which contain the axis of the grip attachment portion, an arcuately curved intermediate portion, and a straight, distal portion. An omnidirectional cable coupling is provided at the distal portion of the rod. The rods are formed in mirror image to each other, considered in the second reference plane. When utilized as a matched pair, the grips may be oriented in four basic different positions relative to each other for attachment to one or more cables of an exercise machine.