Lee was a student at the Chosun Yun Moo Kwan Kwon Bop Bu, learning from its founder, Sang Sup Chun. Later, after the Korean War Armistice Agreement was signed in 1953, Lee started teaching the returning Yunmoo Kwan Kwon Bop Bu members at the Hankuk Chaeyuk Kwan Dojang. He had conflicts with Chong Woo Lee and left to start his own annex Kwan by setting up a tent at a High School. Later, Chong Woo Lee changed the YunmooKwan Kwon Bop Bu’s name to Jidokwan. Kyo Yoon Lee states that Han Moo Kwan is from Choson Yunmoo Kwan Kwon Bop Bu, not Jidokwan.
Kyo Yoon Lee continues to be active in the Kukkiwon and serves on the High Dan/Poom Black Belt promotion committee of the Kukkiwon.
Taekwondo Han Moo Kwan still exists today, but only as a fraternal social friendship club. The official training curriculum endorsed by Taekwondo Han Moo Kwan is the Kukkiwon curriculum. The current President of Taekwondo Han Moo Kwan remains its founder, Kyo Yoon Lee. Han Moo Kwan supports the World Taekwondo Federation and Kukkiwon.