In a control device for a limited slip differential that limits a differential operation of front and rear wheels of a four-wheel-drive vehicle having mounted thereon a vehicle behavior control device that controls a braking force, an ECU that controls a torque coupling as the limited slip differential includes: a differential limiting force calculating device that calculates target torque of the torque coupling based on a vehicle traveling state; a differential limiting force correcting device that makes a correction to reduce the target torque based on a command from the vehicle behavior control device; and a thermal load calculating device that calculates a thermal load of the torque coupling. The differential limiting force correcting device limits the correction of the target torque based on the command from the vehicle behavior control device, when the thermal load of the torque coupling is equal to or larger than a predetermined value.