In order to efficiently operate FMS with the AGV's driving, it becomes important to control AGVs driving. This paper represents a method of autonomous driving for multiple AGVs equipped with FMS. It is assumed that an FMS model has a one-way driving lane for AGVs and neither passing nor encounter between AGVs is allowed. AGV is modeled by SLA (Stochastic Learning Automaton) to have a capability of making driving decision by itself. Such a capability is accomplished by the stochastic learning process of SLA. Numerical experiments show that AGV can learn proper driving actions and operate its run in the shortest possible distance.