A driving support apparatus is provided with: a recognizer configured to recognize a light of a traffic light that exists ahead of a host vehicle; and a controller configured to perform a deceleration support control if the host vehicle needs to be decelerated on the basis of the recognized light. The controller is configured to suppress a degree of the deceleration support control if the host vehicle needs to be decelerated on the basis of the recognized light and if the recognized light includes a light indicating permission to travel in a particular direction, in comparison with when the recognized light does not include the light indicating the permission to travel in the particular direction.