French President Emmanuel Macron is chairing an urgent security meeting, following a day of riots by hundreds of anti-government protesters.
A government spokesperson said a state of emergency could be imposed to tackle the unrest.
Protests over fuel tax have grown into general anger at higher living costs.
Police said another person died in the protests bringing to three the number of fatalities since the demonstrations started more than two weeks ago.
Saturday’s protests centred on Paris, where some demonstrators have remained peaceful, but others clashed with police and scaled the Arc de Triomphe.
More than 100 people were injured in the capital, including 23 members of the security forces.
Police say more than 400 people were arrested.