A connector for coupling a veneer panel to a back-up comprises a support member comprising a mounting flange adapted for securing the support member to said back-up wall, and first and second support member side walls extending outwardly from the mounting flange. The first and second support member side walls define at least one generally horizontal slot when the support member is secured to the back-up wall. The connector further comprises a veneer connector configured for non-rotational sliding receipt in the generally horizontal slot and adapted to support a generally horizontal edge of said veneer panel when the veneer connector is received in the generally horizontal slot and when the support member is secured to the back-up wall.