The bracket comprises a support arm that can be mounted to either a vertical surface such as a wall or a horizontal surface such as a ceiling. A rod supporting member such as a ring or hook is removably attached to the arm and is adapted to receive and support a drapery rod. The rod supporting member can be removed from the support arm and attached directly to a surface to provide an inside mount for the rod. A separate mounting clip may be used to mount the rod supporting member to the surface. the mounting clip may be provided with a rod engaging element for centering the rod and a surface engaging element for fixing the position of the rod supporting member on the surface.