Around a dozen more people were injured - some of them seriously - and a Strasbourg mosque posted on Facebook to say one of its members was in a coma after being hit in the head.
Meanwhile, authorities revised the death toll to three on Thursday after a person who had been kept alive while brain dead succumbed to his injuries.
It has been two days since the attack on a Christmas market in Strasbourg, but police have still not caught the attacker.
Reasons for the attack are still unknown. however, the prosecutor began an investigation to see if this is a possible terrorist attack.
Cherif C, 29 years old, has been identified as the Strasbourg Christmas Market gunman that left ten people injured.
Cherif Chekatt was killed in the Neudorf/Meinau area of the city after a police operation was launched around 2100 hrs (2000 GMT) on Thursday about 2 kilometers from where he launched his attack on Tuesday.
Five people have been arrested as part of the manhunt, including Chekatt's parents and two of his brothers.
Reflecting Strasbourg's global nature, the dead included a Thai tourist, and an Italian was reportedly among the wounded.
The suspect is a 29-year-old man who was born in Strasbourg, the French network reported.
The suspected gunman then jumped into a taxi and fled the scene, Heitz said.
A large-scale manhunt is under way for a suspected extremist gunman who killed three near a Christmas market in Strasbourg.
The Telegraph notes, "Christmas markets have been considered a terror target ever since the foiled terror attack in December 2000".
Two people were killed and a third victim who was hospitalized has now died, the Paris Prosecutor's office said.
He noted that the suspect had 27 criminal convictions in France, Germany and Switzerland.
Neighbours living on the housing estate where Chekatt family's lived described the suspect as a typical young man who dressed in jogging trousers and trainers rather that traditional Islamic robes.
People captured video of the area where the attack happened and the sounds of the shooting on their phones while others rushed to find somewhere safe to hide.
Hundreds of police are hunting for him in France and Germany.
A restaurant waiter told how staff and customers tried to save a diner who stepped outside and was shot. The European Parliament was also in session in Strasbourg, adding to the crowds in the city. It came amid a month of protests against President Emmanuel Macron that have blocked roads around the country, led to rioting in the capital and put heavy strain on police.
Major League Baseball hot stove: Nationals sign free-agent starter Patrick Corbin, report says
Both are on that next tier of starting pitchers, and Keuchel has been linked to Cincinnati on a few occasions over the past week. The fallout from this Corbin saga could see the Phillies make aggressive plays in the free agency market in the coming weeks.