In a flat-lapping machine with a plurality of workpiece holders (9) which are arranged around a central gearwheel (toothed wheel) (4) connected to a drive, are driven by said gearwheel and hold in each case one workpiece (15) to be lapped by an upper and a lower lapping wheel (3), gearwheel-holding devices (10; 40) are arranged at equal distances around the central gearwheel (4) and have in each case a plurality of small gearwheels (11 to 14) which rotatably hold the workpiece holders (9) in predetermined positions. <IMAGE>