President Emmanuel Macron says footage of three police officers beating up a black music producer in Paris is "unacceptable" and "shameful", APA reports citing BBC.
He demanded quick proposals from the government aimed at rebuilding trust between police and citizens.
France should never "resign itself to violence" or "let hatred or racism prosper", he said.
The three officers identified in the video beating Michel Zecler have been suspended and are under investigation.
They were questioned in police custody on Friday.
Interior Minister Gérald Darmanin has told French television that he will press for the officers' dismissal, saying they had "soiled the uniform of the republic".
The incident has led to fresh scrutiny of the security forces.
Stars of the French World Cup football team are among a number of public figures who have spoken of their anger after the footage captured in the French capital was made public.
Earlier on Friday, French media reported that a presidential official had described Mr Macron as being visibly upset by the incident.
In a series of tweets Mr Macron said proposals were also needed to fight more effectively against all types of discrimination.
"Those who apply the law must respect the law. I will never accept that the gratuitous violence of some stains the professionalism of the men and women who work courageously to protect us in our daily lives," he said.