Hakodate, Hokkaido
is a national highway in the Japanese prefectures of Hokkaido and Aomori. Route 338 stretches from National Route 5 in Hakodate, Hokkaido south across the Tsugaru Strait by ferry to Ōma, Aomori, around the western, southern, and eastern edges of the Shimokita Peninsula and finally to Oirase.