The club was originally formed in 1969, with the name being inspired by Scottish club
Glasgow Celtic. Prior to joining the PLSQ, the club played in the
Ligue de Soccer Elite Quebec, which is the top amateur division in Quebec. They were accepted into the PLSQ in 2016 for the 2017 season, but did not end up joining the league at that time because of administrative reasons. In 2020, the club joined the
Première Ligue de soccer du Québec, a Division III league, fielding a team in the men's division. although the season did eventually return August 1. The club had planned an exchange program with three amateur clubs in France in the Burgundy and Paris regions, who would each send a player to Celtix on loan for the season, however, this idea was postponed due to the pandemic. They played their first match on August 1 against defending champions
A.S. Blainville, losing 2–0. They finished in 3rd place in their debut season, which was ended prior to its conclusion due to new regulations from the
Government of Quebec as a result of the second wave of the pandemic. They will be entering a women's team in the female division of the PLSQ for the 2021 season. == Seasons ==