A storable exercise apparatus for home use. The apparatus includes an upright tower, a base structure, a bench frame, and a bench attached to the bench frame. A set of flexible pull lines coupled to a resilient spring system are carried within the tower structure. The user exercises by pulling the pull lines against the bias of the spring system. The grips for the pull lines are mounted at the top of the tower and generate significant tipping force on the tower when the apparatus is in use. To prevent tipping, the bench frame has pivotal and load-transmitting connections with the tower structure; the tower is stabilized by the weight of the user on the bench. The bench may be placed in either a raised or lowered position, and can be stored by collapsing and pivoting it so that it abuts the tower vertically.