In a record disc player, a pick-up arm is mounted for movement to and fro along a rectilinear path, a drive assembly is actuable for driving the arm along such path, first and second motors are alternatively operated, and a drive speed change-over mechanism selectively transmits driving torque from the operated one of the first and second motors to the drive assembly so that the pick-up arm can be stably driven at a relatively low speed by operation of one of the motors during the playing or reproducing of signals from a record disc, and high speed movement of the pick-up arm is effected upon operation of the other motor during lead-in and return operations of the player.