A clutch unit comprising: an input-side clutch part that controls transmission and blocking of a rotational torque to be input; and an output-side clutch part that transmits the rotational torque from the input-side clutch part to an output side and blocks the rotational torque reversely input from the output side, wherein the output-side clutch part includes an input member, an output member that is arranged coaxially with the input member, a stationary member (32, 33, 34, 35) that rotatably supports the input member and the output member, and a clutch member that is arranged between the input member and the output member so as to be axially movable, and wherein a torque transmission part that transmits the rotational torque from the input member to the output member via the clutch member is provided between the input member and the clutch member, and wherein a recess-projection fitting part that can be meshed in a rotation direction is provided between the stationary member (32, 33, 34, 35) and the clutch member, and includes a teeth part that is formed on an axial end surface of the stationary member, and a teeth part that is formed on an axial end surface of the clutch member opposing to the axial end surface of the stationary member, characterized in that a meshing between the teeth part of the clutch member and the teeth part of the stationary member causes the clutch member to be in locked state, wherein the teeth part of the clutch member is unmeshed from the teeth part of the stationary member by the axial movement of the clutch member, thereby releasing the locked state of the clutch member and the output member. an input-side clutch part that controls transmission and blocking of a rotational torque to be input; and an output-side clutch part that transmits the rotational torque from the input-side clutch part to an output side and blocks the rotational torque reversely input from the output side, wherein the output-side clutch part includes an input member, an output member that is arranged coaxially with the input member, a stationary member (32, 33, 34, 35) that rotatably supports the input member and the output member, and a clutch member that is arranged between the input member and the output member so as to be axially movable, and wherein a torque transmission part that transmits the rotational torque from the input member to the output member via the clutch member is provided between the input member and the clutch member, and wherein a recess-projection fitting part that can be meshed in a rotation direction is provided between the stationary member (32, 33, 34, 35) and the clutch member, and includes a teeth part that is formed on an axial end surface of the stationary member, and a teeth part that is formed on an axial end surface of the clutch member opposing to the axial end surface of the stationary member, characterized in that a meshing between the teeth part of the clutch member and the teeth part of the stationary member causes the clutch member to be in locked state, wherein the teeth part of the clutch member is unmeshed from the teeth part of the stationary member by the axial movement of the clutch member, thereby releasing the locked state of the clutch member and the output member.