Abstract: A gear finishing machine is provided which utilizes a driven rotary finishing gear and two idler finishing gears. In addition a reciprocating oscillatory mechanism that employs leaf springs as the coupling member, changes rotary into reciprocating motion, which serves to oscillate the workpiece gear across the finishing gears. The machine is capable of either burnishing or honing the workpiece gear according to the ratio of the rotary to sliding velocity of the workpiece gear relative to the finishing gears, duty cycle, and loading pressures. Sensors are utilized which detect undersize and oversize gears, the withdrawing of the driven burnishing gear to the correct location to eject the workpiece gear and the presence of gears in the input and output chute which serve as control signals for the machine.