A hub for bicycles or the like including a hub shell which is rotatably supported relative to a hub axle, a rotor rotatably supported relative to the hub axle, and a freewheel device having two interacting freewheel components namely, a hub-side freewheel component and a rotor-side freewheel component. The two freewheel components each contain axial engagement components. The hub-side freewheel component is non-rotatably and axially fixedly connected with the hub shell. The rotor-side freewheel component is non-rotatably connected with the rotor and is movable in the axial direction relative to the rotor and the hub shell between a freewheel position and an engagement position. Rolling members are provided for defined accommodation in the hub-side freewheel component to support the hub shell relative to the hub axle. The hub-side freewheel component is connected with the hub shell through a multiple thread having at least two separate, axially spaced apart thread grooves.