A control device for a dual clutch transmission includes a transmission control unit that determines immobility in an engaging-side clutch in a next stage as sticking and, when the engaging-side clutch in the next stage malfunctions and when a gear in a previous stage is out of engagement, engages the gear in the previous stage and thereafter controls a clutch torque capacity in the previous stage to a predetermined value, and a back torque limiter operates according to a predetermined condition to engage a release-side clutch in the previous stage.