Twice Kenny has been a gold medalist in the team sprint, riding in a group that contained British star Chris Hoy.
This, however, was an individual gold and it came after he had led qualifying. It was the fifth British gold medal in seven track cycling events.
Kenny defeated riders from South Africa in the round of 16 and Malaysia in the quarterfinals before downing Nijsane Nicholas Philipp of Trinidad and Tobago in the semifinals.
He then defeated Bauge twice in the best-of-three showdown for the gold medal.
Australia's Shane Perkins won over Phillip in the bronze medal race.