A roller load support, for mounting on a load carrying vehicle such as a lift truck, has an elongate frame with a forwardly tapering vertical thickness and an upper surface for insertion beneath the underside of a load. Different longitudinally spaced pluralities of transverse upper rollers are movable upwardly to protrude through the frame's upper surface to engage the underside of the load during the insertion process. During the insertion process, the upper rollers are pushed upward by corresponding different pluralities of transverse lower rollers which rotatably engage the floor or other surface beneath the frame and frictionally counter-rotate the upper rollers. The lower rollers are spaced nonuniformly relative to each other along the length of the frame, with such spacings increasing progressively in size, within each plurality of lower rollers, in a forward direction toward the front end of the frame. Conversely, each such plurality of lower rollers has sequentially corresponding nonuniform spacings