Fraser James Macgregor Brown (born 20 June 1989) is a Scotland international rugby union player.

Dropped by Edinburgh in 2011, Brown worked on the family farm in Carstairs and played for Heriot's Rugby Club.

Glasgow Warriors head coach Gregor Townsend recruited Brown in 2013 following injuries in the squad.

He was announced as captain for the 2009 season, and led the Scots to an 18–17 victory over Wales in the opening round of the 2009 under-20s Six Nations.

During Scotland's participation in the South African Quadrangular Series in 2013, Brown earned a late call up to the senior squad following an injury to fellow club player Pat MacArthur.