Abstract: A road construction machine for paving road surfaces with road stones or the like is disclosed which moves over the paved surface which has already been laid, without the use of guide rails. The machine carries a supply of road stones supported on a lift table. Each uppermost road stone slab is removed from the supply stack and inserted into a semi-circularly shaped transfer chute positioned at the forward end of the paving machine. The road stones are conducted through the chute and deposited onto the subgrade surface so as to be pressed sequentially against a previously laid pavement stone. As the road construction machine moves forwardly along the paved surface in the direction of the paving operation, hydraulic ram means serve to firmly press and flatten the laid stones into paving condition on the subgrade surface, utilizing the weight of the slab stack carried in the machine.