Rychel was the second of Columbus' three first-round picks in the 2013 NHL Draft, taken at No. 19.
"Kerby is a hard-nosed player who is very competitive and possesses a mixture of skill, the ability to score goals and grit," Blue Jackets general manager Jarmo Kekalainen said in a statement. "We believe he will be an important part of our organization for years to come as he continues to grow and develop as a player."
Rychel, 19, has 17 goals, 28 assists and is a plus-16 with Windsor and Guelph of the Ontario Hockey League. He has one goal and five assists since joining the Storm. He currently is playing for Canada at the 2014 IIHF World Junior Championship.