Lee was a student at Chung Do Kwan. Lee was advised by the then Chung Do Kwan president to choose a similar name to Chung Do Kwan, so he chose Jung Do Kwan:
- Lee Yong Woo discusses the naming of his school: "I wanted to open a dojang, but just couldn't think of any good names. At that time, my training buddy, Uhm Woon Kyu in the Chung Do Kwan suggested to take out the dot from Chung character and name my school the Jung Do Kwan. This was a very good idea I thought. The meaning of Jung Do, 'Stepping the right way', was the identical meaning of a martial artist's spirit, so I've decided to name my school the Jung Do Kwan."