The present invention provides a fixed type constant velocity universal joint suitable for applications where vibration is harmful. A fixed-type constant velocity universal joint (1) includes an inner member (20) fitted in an outer member (10) with a retainer (40) therebetween, and balls (30) provided between track grooves (14, 24) of the outer member (10) and the inner member (20) as well as retained by the retainer (40). The outer member (10) is constructed as a multilayer structure of three or more layers formed of an outside member (15), one or a plurality of intermediate members (16), and an inside member (17), and at least one of the intermediate members (16) is constructed of an elastic material. Cushioning action of the intermediate members (16) can reliably absorb vibration transmitted from either of the outer member (10) and the inner members (20) with the members (10, 20) set to a predetermined operation angle.