A driving support apparatus for an own vehicle includes a lane keeping assist control unit. When an interrupting vehicle enters ahead of the own vehicle in (i) a situation in which no preceding vehicle is present ahead of the own vehicle, or (ii) a situation in which a preceding vehicle is present ahead of the own vehicle, while a deviation angle formed between a direction of a traveling trajectory of the interrupting vehicle and a traveling direction of the own vehicle is larger than a threshold, the lane keeping assist control unit is configured not to perform a lane keeping assist control based on the traveling trajectory of the interrupting vehicle, and is configured to discard the traveling trajectory of the interrupting vehicle. On and after the deviation angle becomes equal to or smaller than the threshold, the lane keeping assist control unit is configured to perform the lane keeping assist control based on the traveling trajectory of the interrupting vehicle.