The invention discloses a clamping claw wheel device for climbing stairs and an assistance luggage car applying the same. The clamping claw wheel device for climbing the stairs comprises clamping claw wheels and a wheel plate rotating driving device. Each clamping claw wheel comprises a wheel plate and clamping claws. The wheel plates are mounted on a wheel shaft; clamping claw grooves which are in one-to-one correspondence with the clamping claws and can contain the corresponding clamping claws under the external acting force are formed in the wheel plates; the clamping claws are hinged in the corresponding clamping claw grooves; opening and maintaining structures which act on the clamping claws and enable the clamping claws to swing to the protruding wheel plates of the outer ends of the clamping claws are arranged between the clamping claws and the wheel plates; and limiting structures are further arranged between the clamping claws and the wheel plates, wherein the limiting structures are used for limiting the clamping claws to continue swinging when the clamping claws swing to the protruding wheel plates of the outer ends of the clamping claws and located in the maximum upper limiting positions. The wheel plate rotating driving device is connected with the wheel shaft to drive the wheel shaft to rotate to drive the wheel plates to rotate. The clamping claw wheel device enables the luggage car to climb the stairs up and down, so that manpower consumption is relieved.