A clutch unit (1) including at least one wet clutch (28, 29) and a torsional vibration damper (12) which are accommodated in a housing (8) driven by the drive unit. In order to simplify assembly, pre-assembled modular units (3, 4, 5) are formed that are joined together during the final assembly process. Advantageously, a separation point is provided between two modular units in the torsional vibration damper, wherein one modular unit (3) includes the energy accumulators (11) captively accommodated in a housing part (6), while the other modular unit (4) includes the output part of the torsional vibration damper as an input part (13) of the at least one wet clutch.