Burke partnered with Jimmy Demaret to found Champions Golf Club in Houston in 1957. The 36-hole facility hosted a PGA Tour event from 1966 to 1971, today's Shell Houston Open. As well, the club hosted the 1967 Ryder Cup, the 1969 U.S. Open, the 1993 U.S. Amateur, and the PGA Tour Championship in 1990, 1997, 1999, 2001, and 2003. Burke was the fifth recipient of the PGA Tour Lifetime Achievement Award in 2003, and was inducted into the World Golf Hall of Fame in 2000.