An assembly has a liftable lid and a movable hinge module. The assembly includes an object having an opening, a lid rotatably arranged upon the opening, and a hinge module. The hinge module includes at least a shaft connected to the lid, a base, and at least a latch. The shaft is connected to the base and along with the base defines a rotating axis. The rotating axis is movably arranged between a close position and an open position. The latch fastens the lid over the opening. When the rotating axis is at close position, the lid closes upon the opening as a close state. When the rotating axis moves away from close position, the lid rotates and moves away from the opening to an open state. The rotating axis moves to open position.