Control device for motor vehicle

A motor vehicle to which a control device (10) is applied includes an idling stop control section (20) for stopping operation of an engine (11) when a predetermined stopping condition is fulfilled while the engine (11) is idling, and a neutral-at-idle control section (21) for shifting a transmission (12) of the vehicle into neutral when a predetermined shift-into-neutral condition is fulfilled. While a post-stoppage elapsed time (Ts) measured by a timer (22) is shorter than or equal to a predetermined time (Ts1) after the vehicle stops moving, operation of the engine (11) is stopped by the idling stop control section (20) if the predetermined stopping condition is fulfilled but shifting of the transmission into neutral by the neutral-at-idle control section (21) is prohibited even if the shift-into-neutral condition is fulfilled.