A system is configured to control a clutch that connects a first rotating body and a second rotating body. The system includes a biasing portion, an actuator, an energization device, and a control unit. The biasing portion permanently biases the clutch in a connecting direction. The actuator drives the clutch in a disconnecting direction. The energization device energizes the actuator. The control unit controls the energization device. The energization device outputs a first current value to the actuator when a connection of the clutch is detected even if a condition for permitting a disconnection is satisfied. The energization device outputs a second current value lower than the first current value when the condition for permitting the disconnection is satisfied and a disconnection of the clutch is detected.