A liftable puller device includes a holder, a puller assembly located on the holder, a first frame coupled with the holder and a second frame coupled with the puller assembly. The puller assembly is installed on the holder via the first frame and second frame, and includes a plurality of grippers to grip a wheel. The first frame has a first main retaining zone located on the top end thereof, two first sub retaining zones relative to the first main retaining zone and a first auxiliary retaining zone between the first main retaining zone and one first sub retaining zone. By providing the first auxiliary retaining zone, only a small range of movement is needed to complete switch between a two-gripper and a multi-gripper puller device.