A lane keeping traveling support apparatus includes a driving support ECU. The driving support ECU is configured to to determine a lane departure prevention torque in such a manner that a magnitude of the lane departure prevention torque becomes smaller or to stop performing a lane departure prevention control, when the lane departure prevention control is performed in place of a lane keeping assist control and a specific operation of a steering wheel is performed by a driver so as to have a direction of an own vehicle head to a lane departure direction.