The clashes came after up to 8,000 demonstrators gathered in the city centre. More than 500 people have been taken into custody.
At least 30 people have been injured in the capital, including three police officers.
The "yellow vest" movement opposed fuel tax rises but ministers say it has been hijacked by "ultra-violent" protesters.
Some 8,000 police and 12 armoured vehicles have been deployed in Paris, and nearly 90,000 countrywide.
Last week, hundreds of people were arrested and scores injured in violence in Paris - some of the worst street clashes in the French capital for decades.
What is happening this weekend?
There have been a number of confrontations. Bins were set alight on the Champs-Elysées and cars were torched on Boulevard de Courcelles, about 2km (1.2 miles) north.
Water cannon were deployed on a street east of the city centre.
TV pictures have shown what appear to be far-right groups setting up barricades. Armoured vehicles are being sent to deal with them, and French media say this is the first time they have been deployed in metropolitan Paris.