An exercise resistance cable apparatus for engagement with a pulley assembly of a support structure and with a cable locking pin of an anchor assembly of the support structure. The exercise resistance cable apparatus includes an elastic exercise resistance cable. A cable anchor ring is securely connected to a first end of the elastic exercise resistance cable. A handgrip is connected to a second end of the elastic exercise resistance cable. During use the elastic exercise resistance cable is directed through an activity bay of the pulley assembly and ultimately attached, via the cable anchor ring, to the cable locking pin of the anchor assembly of the support structure. The exercise resistance cable apparatus is particularly adapted to be used with an exercise chair having a frame with pulley assemblies defining a plurality of activity bays positioned at desired locations thereon.