The torsional vibration damper which is suited in particular for the clutch disk of a motor vehicle friction clutch has two damper parts (13, 17) rotatable relative to one another around a common rotational axis (7) over a defined rotational angle, which damper parts (13, 17) together enclose at least one, preferably, at least three, damper chambers (33, 35) sealed outwardly and at least partially filled with a hydraulic fluid. A roller body (37) is arranged in each damper chamber (33, 35) which roller body (37) divides the damper chamber (33, 35) in the circumferential direction into two spaces (39, 41) whose relation of volume changes during the relative rotation of the damper parts (13, 17). A throttle connection (47) between the two spaces (39, 41) makes possible the compensation of the hydraulic fluid as a by-pass connection to the roller body (37). The damper chamber is formed by means of two recesses (33, 35) located opposite one another and with volumes varying from one another in faces (29, 31 ) of the damper parts (13, 17), which faces complement one another, adjoin one another on opposite sides and move relative to one another during relative rotation. The circumference of the roller body (37) is in a friction-locking or form-locking drive rotational contact with mutually oppositely located faces (43, 45) of the two recesses (33, 35) and rolls without slipping in the recesses. The roller body is formed particularly resilient and is fixed in the recesses (33, 35) under its own spring pretensioning. The roller faces (43, 45) of the recesses (33, 35) are so formed that an increasing pretensioning force and thus a restoring moment acting contrary to the torsional torque results as the torsional angle increases. Such a torsional vibration damper acts hydraulically as well as a spring damper and permits relatively large torsional angles.