Things escalated when two female police officers approached the man to question him in connection with a car theft.
The Cherbourg press office told CNN: “He was neutralized with bullets, however they could not say what condition the man was in.
French Interior Minister Gérard Darmanin expressed support for the police force in a tweet.
“While intervening in a car theft in Cherbourg, two police officers were injured,” Darmanin said, adding, “(I) assist the national police.”
The mayor of Cherbourg Arrivé Benoît also expressed gratitude for the work of the police, saying: “All my support to the force of order.”
The two police officers involved are in good condition, authorities said.
Last month, a police officer in the French city of Cannes survived a knife attack after an attacker approached four officers outside a police station preparing to take control.
The minister said the attacker approached the officers for information before opening the door of the vehicle they were in and stabbing one of the officers in the chest with a knife. The attacker then attempted to stab a second officer before he was neutralized.