A bicycle derailleur includes a base element, a movable element having a receptacle and movably coupled to the base element, a rotary shaft mounted in the movable element in the receptacle to be rotatable about an axis of rotation, and a chain guide assembly rotatable relative to the movable element about the axis of rotation and which is coupled rotationally conjointly to the rotary shaft. An elastic force store device exerts on the chain guide assembly a preload force which preloads said chain guide assembly in a direction of rotation relative to the movable element. A damping device acts directly or indirectly between the movable element and the chain guide assembly and has a coupling device arranged radially within the first elastic force store device by which the damping device is coupled to a support, which is static in relation to the movable element, and the rotary shaft.