A vehicle driving control apparatus is provided with a lane detecting device, a future position estimating device and a vehicle control device. The lane detecting device detects a lane marker of a lane. The future position estimating device estimates a future transverse position of a host vehicle after a prescribed amount of time. The vehicle control device executes a vehicle control such that a yaw moment is imparted to the host vehicle toward a middle of the lane. The yaw moment is imparted upon determining that the future transverse position is positioned laterally farther toward an outside of the lane from the middle of the lane than a prescribed widthwise lane position that is determined in advance using the lane marker as a reference. The vehicle control device suppresses an impartation of the yaw moment device when a recognition degree of the lane marker is lower than a prescribed value.