Read more:
• Legally Blonde star coming to NZ
• Why this Game of Thrones actress doesn't 'flaunt it'
Fox declined to comment on the severity of O'Brien's injuries or how they occurred.
"Production on the film will be shut down while he recovers. Our thoughts go out to Dylan for a full and speedy recovery," Fox said.
TMZ said O'Brien, who plays Thomas in the franchise, suffered multiple broken bones in the accident.
James Dashner, the author of the Maze Runner book trilogy, posted on Twitter Friday that O'Brien had been hurt but he was going to be OK and his injuries were "not life-threatening in any way."
"Production is postponed but certainly not cancelled. All that matters now is that Dylan recovers," he wrote. "We love you, Dylan!!!"
O'Brien is also known for his co-starring role in the MTV series Teen Wolf.
- AP