The present disclosure provides a driving assist apparatus including a host vehicle stop determiner for determining the stop state of a host vehicle, a preceding vehicle stop determiner for determining the stop state of the preceding vehicle, a preceding vehicle start determiner for determining the start of the preceding vehicle after the stop of the preceding vehicle based on a speed change information of the preceding vehicle and a distance change information between the host vehicle and the preceding vehicle, and a start notifier for notifying the start of the preceding vehicle after the stop to a driver of the host vehicle.