A bicycle transmission includes a hub axle, a drive member rotatably mounted around the hub axle, a hub body rotatably mounted around the hub axle, and a gear mechanism coupled between the drive member and the hub body for communicating rotational force from the drive member to the hub body through multiple transmission paths. A clutch is rotatably mounted around the hub axle, wherein the clutch is movable in the direction of a longitudinal axis of the hub axle for selecting a rotational force transmission path through the gear mechanism. A clutch operator for operating the clutch includes a first guide surface formed along the hub axle and a first shift key that operates the clutch when the first shift key is moved along the first guide surface. The clutch includes a first cam face that is inclined relative to the axis of the hub axle for contacting the first shift key and for converting rotational force of the clutch into axial displacement of the clutch to ensure operation of the clutch.