Riveting tool chuck and riveting tool

The invention belongs to the field of mechanical techniques, relates to a riveting tool chuck and a riveting tool, and solves the technical problem that in the prior art, the design is not reasonable. The riveting tool chuck comprises a cylinder handgrip, wherein a rotating part and a transmission part are arranged in the cylinder handgrip in a penetrating manner; the rotating part is axially positioned and circumferentially and rotatably connected with the cylinder handgrip; the transmission part is circumferentially positioned and axially and movably connected with the cylinder handgrip; and a safety valve mechanism which can enable a thread structure to have screw pair pretightening force is arranged between claw body top columns and the transmission part; and in the process of forward rotation of the rotating part, the safety valve mechanism can enable the rotating part to realize screw pair transformation of a screw structure before the axial reaction force between the front end of each claw body and the