A driving support apparatus for a vehicle is provided. The apparatus causes an alarm unit to issue an alarm based on a lane marking of an own lane in which an own vehicle runs. The apparatus includes a leading vehicle detection section that determines a leading vehicle running in the own lane, a crossing over determination section that determines whether or not the leading vehicle has crossed over the lane marking present at an opposite side of the target, when a target is present at a left side or a right side of the leading vehicle in the own lane, and an alarm inhibition section that inhibits the alarm based on a result of the determination whether or not the leading vehicle has crossed over the lane marking present at the opposite side of the target.