A linear-tracking pick-up arm drive assembly for an audio or video disc player, comprising a linear motor including a magnet-carrying movable unit movable on and along a pair of spaced, parallel horizontal guide bars, and a pair of horizontally elongated, stationary armatures positioned below the guide bars, characterized in that the magnet-carrying movable unit has a pick-up arm supported above the movable unit and a permanent magnet projecting downwardly into the opening between the two stationary armatures and further in that the movable unit is supported in weight transmitting relationship on the guide bars by a three-point support mechanism which may include three rollers one of which is rollable on one of the guide bars and the others of which are rollable on the other guide bar.