In the Canadian Football League’s Amateur Scouting Bureau final rankings, he was ranked as the best player for players eligible in the 2011 CFL Draft, and last by players in the CIS. On May 6, 2011, a Winnipeg Blue Bombers source leaked the Blue Bombers' intentions to select Muamba with the first overall pick in the 2011 CFL Draft. To no surprise, Muamba was indeed selected first overall by Winnipeg in the draft and was signed to his first professional contract on May 30, 2011. After playing mostly special teams in his first year in the league, Muamba became a very significant part of the Bombers defense in 2012. He recorded 65 tackles and 3 sacks, adding another 20 tackles on special teams. Muamba built upon the strong 2012 season he had with an even better 2013 season. He set a new career high with 106 tackles, while also adding 1 quarterback sack, 1 interception, 1 fumble recovery and 1 defensive touchdown. His outstanding 2013 campaign was recognized by the Blue Bombers as he was unanimously voted as the team's Most Outstanding Player, Most Outstanding Defensive Player and Most Outstanding Canadian. On February 5, 2014, Muamba was released by the Winnipeg Blue Bombers to pursue an NFL contract.
On September 30, 2015, Muamba signed with the Montreal Alouettes nearing the end of the 2015 CFL season. Muamba played in 4 games for the Alouettes, contributing 14 tackles and 1 interception. On February 16, 2016, Muamba was released by the Alouettes to once again pursue his NFL interest.
On October 5, 2016, Muamba and the Saskatchewan Roughriders agreed to terms on a contract bringing him back to the CFL for the third time. In a partial season with the Riders Muamba contributed 18 tackles on defense, 9 on specials teams, with 2 sacks and 2 forced fumbles. In his second season in Saskatchewan Muamba played in 17 regular season games, amassing 82 defensive tackles, 11 tackles on special teams, three forced fumbles and two interceptions. Muamba was released by the Riders at the start of free agency, to avoid paying him an offseason bonus of $35,000 Canadian.
Montreal Alouettes (II)
On April 12, 2018 Muamba agreed to terms with the Montreal Alouettes with whom he had played during the 2015 CFL season. Muamba earned a career high in tackles with 108, a career high in sacks with 5, as well as one interception and one forced fumble. This standout season earned Muamba award nominations by the Alouettes for the CFL's Most Outstanding Player, Defensive Player, and Canadian Player. Muamba was also named to the CFL-East All-Star team.