was a after Kennin and before Ken'ei. This period spanned the years from February 1204 through April 1206. The reigning emperor was .
Change of era
- 1204 : The new era name was created to mark an event or a number of events. The previous era ended and a new one commenced in Kennin 4, on the 20th day of the 2nd month of 1204.
Events of the Genkyū era
- 1204 (Genkyū 1, 10th month): Minamoto no Sanetomo ordered Hōjō Masanori, Hōjō Tomomichi and Hatakeyama Shigeyasu to travel to Heian-kyō. These three were charged with escorting the daughter of dainagon Fujiwara-no Noboukiyo to Kamakura where she would marry Sanetomo.
- 1204 (Genkyū 1, 12th month): Two of Sanetomo's emissaries returned to Kanto with his bride-to-be; but Shigeyasu remained in Heian-kyo where he died.