Lee, 33, had signed up for Ukraine's territorial defence force in the first days of the war.
A resident of Irpin, he appeared in several films and his voice featured in the Ukrainian versions of The Lion King and The Hobbit.
He is one of a number of public figures killed in the Russian invasion.
Investigative journalist Viktor Dudar was killed on the front line during a battle with Russian troops near the southern city of Mykolaiv, Ukrainian reports said.
