A lane merging determination apparatus is provided which includes a first generation section that generates a first path, which is a prospective traveling path of an own vehicle, a second generation section that generates a second path corresponding to a traveling path of an adjacent vehicle, which is one of vehicles present ahead of the own vehicle and runs in a lane adjacent to a driving lane of the own vehicle, based on a history of positions of the vehicles, an intersection determination section that determines whether or not the first path and the second path intersect with each other; and a merging determination section that determines that the lanes merge with each other in front of the own vehicle, if the intersection determination section determines that the first path and the second path intersect with each other.