A reversible ladder-mounted support and tray has a bracket designed to be removably affixed to the combination of a rail of a ladder and over a rung just adjacent to the rail. A first fitting is provided that overlies the rail and a second fitting overlies the rung. Concerning the second fitting overlying the rung, in fact, two such fittings are also provided that are essentially back-to-back. In this way, the support may be removably installed on either of the opposed rails of the ladder so that the support can extend laterally to either side of the ladder. Attached to the first fitting designed to overlie the rail is an elongated rod to which is mounted an elongated tube or sleeve having a split and a locking mechanism. The split allows the tube to slide freely over the rod and the locking mechanism may be engaged to narrow the split to lock the position and orientation of the tube thereon. A limit stop mechanism may be employed between the rod and tube or sleeve to limit the degree of rotation of the tube with respect to the rod.