A vehicle is equipped with a planetary gear mechanism including a sun gear, a carrier, and a ring gear that are respectively connected to a first motor, an engine, and a driveshaft. A second motor is further linked to the driveshaft. An air-fuel ratio sensor located in an exhaust system of the engine detects the air-fuel ratio while the engine is rotated in a fuel cut state. Normality or abnormality of the air-fuel ratio sensor is identified, based on a result of determination whether the detected air-fuel ratio is out of a specified normal range. When engine stop conditions for stopping the operation (rotation) of the engine are satisfied during execution of failure detection of the air-fuel ratio sensor (steps S300 and S310), the drive control of the invention maintains the rotation of the engine in the fuel cut state until completion of the failure detection of the air-fuel ratio sensor and controls the first motor to motor the engine (step S330). The operation of the engine is stopped on completion of the failure detection (step S320).