Graeme George Burns (born 29 October 1971) is a Scottish rugby union coach and former player. He gained four international caps for the Scotland national rugby union team and captained the Scotland A team and Scotland 7s team. He began playing rugby in the amateur era, then went on to captain Edinburgh Rugby as a professional.
Burns was born on 29 October 1971 in Edinburgh, Scotland. He was educated at Daniel Stewart's and Melville College. In 1990 he played for under-18 side while at Stewart's Melville RFC.
Burns captain Scotland at the 1997 Rugby World Cup Sevens.
His first cap for the Scotland XV came against Italy in a Five Nations at Murrayfield on 6 March 1999. His final appearance for Scotland was on tour against the United States of America at San Francisco on 22 June 2002. He was a replacement in all four of his international caps.
In 2001 he captained the Scotland A side.
He played his last match for Edinburgh in May 2004 before he was released by the side.
He was a coach at Haddington RFC, leaving the post in 2009.