He was inducted—as a member of the Tragically Hip—to the Canadian Music Hall of Fame in April 2005 at the Juno Awards in Winnipeg, Manitoba. He was also one of the winners of a 1999 Juno Award for Best Album Design, for The Tragically Hip release "Phantom Power". On June 15, 2017, it was announced that Baker, along with the other members of The Tragically Hip, would be appointed to the Order of Canada for "their contribution to Canadian music and for their support of various social and environmental causes."