Three people are believed to have been seriously injured, with ESPN FC claiming that some Lille supporters fell five feet after the barrier in the stand collapsed.
They later added: "The match has definitely been stopped".
Amiens hospital said that 29 people were injured in the collapse.
The collapse occurred as visiting fans celebrated Fode Ballo-Toure scoring the game's first goal in the 15th minute.
A Lille fan who was at the match said: "It was really carnage".
Amiens public prosecutor Alexandre de Bosschere said an investigation had been opened into accidental injury, focusing on why the barrier gave way.
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"We are thinking strongly and primarily of our supporters", Lille CEO Marc Ingla wrote in a series of tweets.
"Police warned us that 200 very angry ultras were in the section reserved for Lille fans", Joannin said (via Sportskeeda.com).
Their 12,000-capacity Stade de la Licorne is the smallest of the 20 Ligue 1 clubs.
"We are quite disturbed, we are counting on the LFP (the French league's governing body) so that the responsibilities are identified for the victims of this accident and so that this can't happen again".
Both clubs took to social media site Twitter to offer solidarity and support in the need of the hour.