The invention discloses a workpiece clamping device and a machine tool. The workpiece clamping device comprises a box body, a workpiece shaft and a pneumatic band-type brake; the pneumatic band-type brake comprises a band-type brake cylinder body and a spring bellow, wherein the band-type brake cylinder body is annular and is connected to the workpiece shaft, an inner cavity is formed in the band-type brake cylinder body, the inner cavity is provided with an inner ring cavity wall for locking a workpiece, and the inner ring cavity wall has elastic deformation capacity; the spring bellow is formed in the inner cavity, the outer edge of the spring bellow is connected with the band-type brake cylinder body in a fastened mode, and the inner edge of the spring bellow abuts against the inner ring cavity wall; after the spring bellow is deflated, the spring bellow stretches in the radial direction and applies acting force to the inner ring cavity wall, and the inner ring cavity wall holds the workpiece; and after the spring bellow is inflated, the spring bellow expands in the axial direction, and the inner ring cavity wall rebounds and is separated from the workpiece. According to the scheme, the clamping and loosening effects are achieved by contracting and expanding the radial size. By the adoption of the clamping structure, large-torque and high-rigidity positioning clamping can be achieved; and meanwhile, due to the fact that the structure is compact and ingenious, compared with a traditional hydraulic piston type clamping mechanism, the device is smaller.