In a control apparatus of a vehicle according to an embodiment of the present invention, there is a failsafe control that blocks power transmission from a drive source to drive wheels by releasing clutches of an automatic transmission when there is a shift switching failure. In consideration of the fact that when a working oil temperature of the automatic transmission is low (below the freezing point, for example), the viscosity of the working oil is high and response for power blocking is poor, in a case where an oil temperature at the time of a shift switching request is low (steps ST2 and ST3), the power transmission is blocked by releasing the clutches of the automatic transmission at the same time as the shift switching request (step ST11). Thus, a clutch release delay occurring when there is a shift switching failure at a low oil temperature is prevented.