At the brand new complex, named the Nouveau Stade de Bordeaux and primed for Euro 2016, the incident took place in the 87th minute when Bordeaux fans were celebrating their team's second goal in a 2-0 victory.
"We counted five injuries, two of those to young boys of 12 and 14 who were picked up by their parents," said one of the club's security officials.
A similar incident took place on May 23 when the stadium was officially opened and led to another barrier collapsing when Bordeaux fans celebrated the first goal at the new venue. On that occasion there were no serious injuries.
In other news surrounding the club, Uruguayan international striker Diego Rolan extended his contract until 2018.
The 22-year-old, who joined Willy Sagnol's team in 2013, is now set to go away on international duty.
He has made five appearances this season in all competitions, without scoring a goal.