In the vehicle of the invention, when the driver releases a depressed accelerator pedal, the drive control sets a vehicle speed V at the moment to a target vehicle speed V* (step S440). An engine and a motor for outputting driving power are controlled to drive the vehicle at the target vehicle speed V*. When the driver steps on a released brake pedal, the drive control stores the target vehicle speed V* set before the driver's depression of the brake pedal as a previous target vehicle speed Vpre and cancels the setting of the target vehicle speed V* (steps S470 and S480). In response to the driver's subsequent release of the brake pedal, the drive control sets the vehicle speed V at the moment to the target vehicle speed V* (step S510) and restarts constant-speed drive (cruise drive). When the driver turns a steering wheel to or over a preset degree for a left turn or a right turn, the drive control sets the previous target vehicle speed V* to the target vehicle speed V* (step S520) and restarts the constant-speed drive. This arrangement ensures easy and quick start of the constant-speed drive (cruise drive) and enables the constant-speed drive (cruise drive) according to the variation of the driving state.