Air-suspended hybrid linear motor vehicle is driven by linear motor (LM) and levitated by air-suspension. The vehicle is driven by single-sided linear induction motor (SLIM) in flat and gentle slope sections of the guideway, and driven by linear synchronous motor (LSM) in steep slope section. To realize a contactless motion control of air-suspended hybrid LM vehicle, lateral motion must be controlled without mechanical guidance. Air-suspended hybrid LM vehicle has special LM's for lateral guidance motion control. The special LM's enables continuously lateral running along the reaction plate constructed in the lateral direction. This paper presents the lateral running control on the lateral reaction plate for air-suspended hybrid LM vehicle. Experimental results show that the vehicle can be propelled in lateral direction stably.