An anchor device for elastically resistive exercise apparatus is disclosed. The cactus-tree anchor device has a rigid elongated vertical backbone. Protruding from the elongated backbone is a plurality of curved, upward-pointing arms resembling the trunk and arms of a Saguaro cactus. Pairs of these curved arms protrude from opposite sides of the elongated backbone. These arms facilitate the easy connection of elastic members, such as coil springs, to the anchor device while helping to prevent elastic members from becoming inadvertently dislodged during expansion and contraction of the elastic member. Mounting members located at upper and lower ends of the vertical backbone allow the anchor device to be mounted on or within the exercise apparatus. The anchor device is particularly adapted for use in a Pilates combination chair exercise apparatus.