Gibson follows in the footsteps of former Stampeders' defensive co-ordinator Rick Campbell, who was named the Redblacks head coach on Friday.
Gibson, who has prior offensive co-ordinator experience with the Hamilton Tiger-Cats and Winnipeg Blue Bombers, was in charge of the Stampeders' running backs in 2011 and in charge of the Stampeders' offensive line in 2012 and 2013.
Last season, with Gibson in charge of the Stampeders offensive line, the Stampeders led the Canadian Football League with 549 points. Stampeders' offensive lineman Brett Jones won the CFL's most outstanding rookie award, while running back Jon Cornish led the CFL with 1813 rushing yards. Cornish was also named the CFL's top Canadian for the second straight year and was named the CFL's most outstanding player.
In 2014 professional football is returning to Ottawa for the first time since 2005.