A control apparatus for a vehicle, wherein the vehicle includes an engine having a turbocharger and an automatic transmission. The control apparatus includes at least one electronic control unit configured to: control an air-fuel ratio of the engine and an operating state of the turbocharger based on a parameter indicating a load of the engine; control the turbocharger to execute turbocharging and operate the engine in a turbocharging lean combustion mode when the parameter is within a predetermined range, an air-fuel ratio set in the turbocharging lean combustion mode being a predetermined lean air-fuel ratio; and operate the engine in a predetermined operation mode instead of the turbocharging lean combustion mode in at least a part of the predetermined range when a downshift is performed in the automatic transmission, an air-fuel ratio set in the predetermined operation mode being a richer air-fuel ratio than the predetermined lean air-fuel ratio.