A clutch control system which operates in a number of modes including a start mode in which clutch torque of the clutch increases with increase of speed of an engine of the motor vehicle, a lock-up engagement mode in which the clutch torque is increased, and a drag mode in which the clutch torque is reduced to produce a drag torque and selection is in accordance with depression of the accelerator pedal and speed of the vehicle, has system in which when a vehicle speed detector (22) does not produce a vehicle speed signal for a predetermined period in the start mode at engine speed higher than a predetermined speed, a trouble signal is produced and if the trouble signal persists for a predetermined period, a failsafe signal is produced. In response to the fail-sate signal, the system operates to maintain clutch torque.
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