The shooting took place Thursday evening in the city of Miami Gardens, about 30 kilometers north of Miami, Florida, the local police department told AFP in a statement.
"We are being advised that multiple victims were struck," the department said, adding that victims were taken to local hospitals.
The Miami Herald newspaper reported that the incident took place following an altercation between two groups of people.
Rapper Ced Mogul told NBC 6 television that he heard multiple shots.
"At least 13, 14, 15 gunshots. It was very rapid, it sounded like an assault rifle," Mogul said.
Police have not yet confirmed the identity of the victims or released more details.
According to the Miami Herald, six victims were transported to the hospital and four went to a medical center on their own.
French Montana, whose official name is Karim Kharbouch, was born in Morocco and immigrated to New York with his parents as a teenager.
The 38-year-old rapper released his debut album "My French" in 2013.