Mr. Yamaguchi Gogen was the first President of Goju-Kai (Kai means school / organisation ; Ryu means more style / vaguely school sometimes). One year later he left and Mr. Uehara was nominated. As ‘Acting president’ for few years and then Mr. Shozo Ujita.
Mr. Gogen Yamaguchi named his organization as ‘Zennihon (all Japan) Karate-Do Goju-Kai’. We named our Goju-Kai as Japan Karate-Do Federation Goju-Kai (Renmei Goju-Kai).
So now there are two Goju-Kai in the world but our Goju-Kai is affiliated with J.K.F. directly to represent Goju-Kai in Japan.
Jitsuei-Kai was started as an Osaka YMCA Karate-Do club and affiliated with Seigo-Kan. When J.K.F. Goju-Kai Osaka branch was formed, it separated from Seigo-Kan as our Mr. Tanaka was member of J.K.F. Goju-Kai establishment.

Timeline
1935 Chojun Miyagi Sensei gave instruction for a short period in Kyoto, Japan.
1942 Chojun Miyagi Sensei again gave instruction for a short period in Kyoto, Japan.
1950 All Nippon Karatedo Goju Kai was founded.
President: Gogen Yamaguchi Sensei
1972 In accordance with the inauguration of the Federation of All Japan Karatedo Organisation (FAJKO), All Nippon Karatedo Goju Kai was reorganised as Japan Karatedo Federation Goju Kai (JKF Goju Kai).
President: Gogen Yamaguchi Sensei
Vice President: Jitsuei Yogi Sensei
Soh Nei Choo Sensei
Kyo Mouri Sensei
Haruyoshi Kagawa Sensei
Seigo Tada Sensei
General Secretary: Kuranosuke Kimura Sensei
NB: Japan Karatedo Federation (JFK) is recognised as the representative of Japan by the governmental organisation.
1973 Gogen Yamaguchi Sensei resigned his position and left JKF Goju Kai. Uehara Sensei was nominated as Acting President. JKF Goju Kai Championship was held in Okinawa to commemorate Chojun Miyagi Sensei for the 20th anniversary of his death.
1975 The first JKF Goju Kai Annual Tournament was held in Kyoto, Japan. The standard forms of Kata Sanchin, Tensho, Saifa, and Seiyunchin were established.
1977 Shozo Ujita Sensei was nominated as the second President of JKF Goju Kai.
1983 JKF Goju Kai Championship was held in Okinawa to commemorate Chojun Miyagi Sensei for the 30th anniversary of his death.
1987 The first JKF Goju Kai International Championship was held in Singapore.
1988 The second JKF Goju Kai International Championship was held in Hong Kong.
1990 The third JKF Goju Kai International Championship was held in Australia.
1995 The fourth JKF Goju Kai International Championship was held in New Zealand.