The invention discloses a clamping device and an inflating device. The clamping device comprises a bracket, a clamping assembly and a first driving unit; and the inflating device comprises the clamping device and further comprises an inflating unit, the inflating unit comprises a guiding rail, a fixed frame, an inflating joint and a second driving unit. According to the clamping device, through inserting connection of claw teeth on a clamping claw, the claw teeth are arranged in a staggered mode, a cylindrical gas nozzle is clamped, the number of clamping contact points is increased, the firmness of clamping the gas nozzle is improved, upward friction force of a gas nozzle shaft is increased, inserting connection of the inflating joint can be resisted, it is ensured that the inflating joint and the gas nozzle can be connected tightly, and thus smooth inflating is ensured. The inflating joint is guided by the guiding rail to rise and fall, thus the inflating joint can be automatically connected to the clamped and fixed gas nozzle in an inserted mode, an inner tube can be automatically inflated in the tire assembling process, the labor intensity of workers is reduced, and the overallspeed of tire assembly operation is increased.