Abstract: A self-propelled concrete screed machine is provided having a winch and cable propulsion system comprised of a pair of cable spools and two cables, one wound upon each spool, and a pair of level wind mechanisms providing a reciprocal guiding motion of the cables across the length of the spools, so that each cable will be received on its respective spool in a series of concentric layers comprised of multiple side by side wraps of the cable. A portable, easily disassembled, framework including: a main frame carrying the winch and cable system and its prime mover; a pair of outer frame members each carrying a cable guide pulley; and two pairs of screed board guide handles, one of which carries a remote prime mover control, are also provided. The concrete screed machine is guided across the concrete surface being screeded by an elongated guide shoe which slidingly engages a plurality of guide supports affixed to the surface upon which the concrete is being poured.