The invention relates to novel two-layered hoisting and transverse movement stereoscopic parking equipment and a control method thereof. The novel two-layered hoisting and transverse movement stereoscopic parking equipment comprises a main body framework (1), an overhead travelling crane framework (2), a transverse power system (4) and a display screen control panel (6), wherein the main body framework (1) is of a two-layered straight-line structure; a plurality of parking places are arranged on an upper layer; each parking place on the upper layer is correspondingly provided with a movable car carrying plate (3); a plurality of parking places are also arranged on a lower layer; the overhead travelling crane framework (2) is used for lifting a car (7) on the lower layer to the upper layer or releasing the car (7) on the upper layer to the lower layer through a lifting power system (5) and the car carrying plates (3); the transverse power system (4) is mounted at one end of the main body framework (1) and is used for moving the car (7) and the car carrying plates (3) in the overhead travelling crane framework (2) to the appointed parking place or loading the car (7) and the car carrying plates (3) on the appointed parking place into the overhead travelling crane framework (2); the display screen control panel (6) is used for selecting the upper-layer parking places and controlling the starting or stopping of the lifting power system (5) and the transverse power system (4) through a control unit.