A coupling arrangement for a drive train of a motor vehicle includes at least one clutch arranged on a rotating shaft in order to couple the rotating shaft selectively with a drive element of the drive train, and at least one activation device to activate the clutch. The activation device is adapted to bring an engagement segment selectively into engagement with a threaded segment rotating with the shaft in order to cause a relative movement of the engagement segment and the threaded segment along the axis of the rotating shaft and thus activate the clutch in the axial direction.