The man, identified by French media as Christophe Dettinger, was filmed beating up police officers Saturday in Paris. The videos went viral on social media and created an outpouring of comments either praising or lambasting the man's actions.
Interior Minister Christophe Castaner said on Twitter the suspect has turned himself to investigators "and will have to answer for his actions in court."
According to media reports, the 37-year-old suspect is a former French champion in the light heavyweight category.
"I think he lost it. People can be impulsive; I can be, too," his former coach, Laurent Boucher, told France Inter radio.
The suspect was involved in at least two fights in downtown Paris on Saturday. On one video, he can be seen launching several punches at an officer trying to protect himself with his shield on a Paris bridge close to the National Assembly, the lower house of parliament.
On another video , wearing a black hat and gloves, he kicks a police officer lying on the ground.
"What shocked me the most and I think for you it's the same thing, it's to see him hitting the poor policeman when he's on the ground," Boucher said. "And especially when you know he's a boxer. In boxing, you learn not to hit a man on the ground. Never. And he did it."
The suspect was quickly identified but remained on the loose until he turned himself in on Monday.
Dettinger, known when he was boxing professionally as "the Gypsy of Massy," after a town in the southern suburbs of Paris, was praised by many yellow vest protesters, lauding his courage while criticizing alleged police brutality during the protests.
"Even if Christophe Dettinger is not somebody very famous, we can say that a champion is standing by our side," wrote Yasin Aslan, a Facebook user.
The French boxing federation condemned the suspect's "shameful and unacceptable behavior" while Sports Minister Roxana Maracineanu said he had not been a member of the boxing federation since 2013.
"Alongside the French federation, we condemn his attitude which goes against the values of the noble art, and we support the attacked police officers," she said.
Castaner estimated that about 50,000 people participated in protests around France on Saturday. Police counted some 3,500 protesters in Paris.
The atmosphere was initially calm in the French capital, but turned when some protesters tried to cross the river on the pedestrian bridge not on the official route from City Hall to the National Assembly. The suspect attacked the riot police officer after jumping over a barrier to join other protesters trying to force their way past police ranks.
Police used clubs and tear gas, then held the bridge in a standoff while violence broke out.
Some confrontations took place in other cities around France, with tear gas fired in Bordeaux and in Rouen in Normandy. Protesters were looking to breathe new life into the yellow vest movement, named after the fluorescent protective gear French motorists must keep in their cars. The protests were launched in anger over fuel tax hikes, but have swelled with broader anger over president Emmanuel Macron's economic policies, considered by opponents to favor the rich.