An exercise apparatus for performing press exercises is provided. The exercise apparatus includes a frame and a support assembly adjustably coupled to the frame. A first press arm is coupled to the support assembly and is pivotal about a first pivot axis between a rest position and an extended position. A mechanism for add-on weights is further provided. The mechanism for add-on weights includes at least one add-on weight having a first region of contact and a second region of contact. The first region of contact can be defined by a selector pin hole in the add-on weight adapted to receive a selector pin. The selector pin engages the add-on weight approximately in line with the center of gravity of the add-on weight. The second region of contact can be provided by a stabilization bracket defining an aperture into which a stabilization pin on the add-on weight extends.