Shogun Japan By Reiss Period: 794 to 1185 Heian Period Period: 1180 to 1185 The Genpei War The Genpei War, 1180 - 1185, was a national civil war between the Taira and Minamoto clans during the late-Heian period of Japan. It resulted in the downfall of the Taira and the establishment of the Kamakura shogunate under Minamoto no Yoritomo. Period: 1185 to 1333 Kamakura Period Period: 1336 to 1573 Muromachi Period Period: 1574 to 1600 Azuchi-Momoyama Period Period: 1600 to 1868 Tokugawa (Edo) Period