A running control apparatus calculates a target driving or braking torque in a calculating block to control the vehicle driven or braked by this torque at a target speed against a running resistance changed with running circumstances of the vehicle. In a control block, when a driver-required braking torque based on the braking operation of the driver is smaller than the target braking torque, the running control for the vehicle is performed to brake the vehicle by the target braking torque. When the driver-required braking torque becomes higher than the target braking torque, the running control is stopped, and the driver manually brakes the vehicle by the driver-required braking torque. When the driver-required braking torque is decreased to be lower than the target braking torque or a predetermined braking torque corresponding to the release of the braking operation, the running control is restarted.