A vehicle can include: an engine; an engine-off timer configured to detect an engine-off time for which the engine is turned off; an air temperature sensor configured to detect a temperature of air sucked into the engine; a water temperature sensor configured to detect a temperature of water in the engine; and a controller configured to determine whether the engine-off timer is operating normally based on the engine-off time detected by the engine-off timer, the temperature of air sucked into the engine detected by the air temperature sensor, and the temperature of water in the engine detected by the water temperature sensor.