A clamping device for toolless clamping of saw blades equipped with the clamping shank for a hand machine tool has two clamping parts that are pressable against each other. Each of the clamping parts is provided with a support surface for the clamping shank of a saw blade insertable between the clamping parts. At least one of the clamping parts is movable in relation to the other of the clamping parts in order to clamp and release the clamping shank. An independent actuating element is movable by hand and provides a sliding movement or a rotating movement.