A driving control apparatus for a vehicle, comprising: an environmental condition estimating part including a surrounding recognition function for recognizing a vehicle's driving lane, neighboring lanes, other vehicles driving in the driving lanes, and surrounding environments and a function for obtaining the vehicle's moving state; a path generating part for generating a target path on the basis of information obtained by the environmental condition estimating part; and a vehicle control part configured to perform speed control and steering control for making the vehicle follow the target path, and having: a function for performing automated in-lane driving by maintaining a set vehicle speed when there is no preceding vehicle in the vehicle's driving lane, and maintaining a set inter-vehicle distance when there is a preceding vehicle; and an MRM function for performing risk minimization control including decelerating and stopping the vehicle in the lane when a system failure occurs during operation of the automated in-lane driving function or operation is not taken over by a driver when a system failure occurs, characterized in that when the MRM function is activated, a direction of corrective steering is determined on the basis of a lateral position of a vehicle in the rear in the vehicle's driving lane and the corrective steering is performed during deceleration. an environmental condition estimating part including a surrounding recognition function for recognizing a vehicle's driving lane, neighboring lanes, other vehicles driving in the driving lanes, and surrounding environments and a function for obtaining the vehicle's moving state; a path generating part for generating a target path on the basis of information obtained by the environmental condition estimating part; and a vehicle control part configured to perform speed control and steering control for making the vehicle follow the target path, and having: a function for performing automated in-lane driving by maintaining a set vehicle speed when there is no preceding vehicle in the vehicle's driving lane, and maintaining a set inter-vehicle distance when there is a preceding vehicle; and an MRM function for performing risk minimization control including decelerating and stopping the vehicle in the lane when a system failure occurs during operation of the automated in-lane driving function or operation is not taken over by a driver when a system failure occurs, characterized in that when the MRM function is activated, a direction of corrective steering is determined on the basis of a lateral position of a vehicle in the rear in the vehicle's driving lane and the corrective steering is performed during deceleration. a function for performing automated in-lane driving by maintaining a set vehicle speed when there is no preceding vehicle in the vehicle's driving lane, and maintaining a set inter-vehicle distance when there is a preceding vehicle; and an MRM function for performing risk minimization control including decelerating and stopping the vehicle in the lane when a system failure occurs during operation of the automated in-lane driving function or operation is not taken over by a driver when a system failure occurs, characterized in that when the MRM function is activated, a direction of corrective steering is determined on the basis of a lateral position of a vehicle in the rear in the vehicle's driving lane and the corrective steering is performed during deceleration.