A rolling bearing which has a braking device, particularly a rotational connection, with an outer hearing race and an inner bearing race between which rolling bodies are in rolling motion on associated tracks. In order to produce a braking effect using frictional engagement, a displaceable braking element connected to one of the bearing races is pressed against a counter surface connected to the associated other bearing race and the frictional engagement may be removed with the aid of an electromagnet. The braking element is disposed as an integral bearing component inside one of the bearing races and is pressed against the counter surface by spring force, and the electromagnet encompasses one of the bearing races as the soft iron core and a coil surrounding the soft iron core.