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The police said there was unacceptable violence occurring near the Gare de Lyon on the margins of a concert.
French labour unions were divided about the future of the social movement after the government offered to temporarily scrap a controversial part of its pension reform. plans.
Americans are increasingly striking and protesting for economic improvements, with support for unions reaching its highest level in decades.
French farmers are protesting against low incomes and government policies they say negatively affect France's agriculture.
"Exhausted caregivers = endangered patients", "Public hospitals in life-threatening emergency" were some of the protesters' mottos.
French police fired tear gas at masked demonstrators in Lyon and Nantes on Saturday as heavy rain kept the number of yellow vest demonstrators down in Paris.
France's "yellow vest" anti-government demonstrations recorded their lowest turnout yet on Saturday, days after a wider May Day rally was marked by violent clashes in Paris.
Paris' prosecutor has begun a probe after May Day protesters allegedly entered a famed Paris hospital and tried to force the door to its intensive care unit.
Anti-government protesters hit the streets in France again on Saturday in a key test of President Emmanuel Macron's authority.