On Friday, Griveaux said those still protesting were "agitators who want insurrection and, basically, to overthrow the government".
The poll was carried out on January 3-4.
The demonstration began peacefully but turned aggressive as police fired tear gas to prevent protesters, who torched cars and burned barricades, from reaching parliament.
But numerous protesters say the measures are not enough and that rural France is paying the price for Macron's policies, which they see as mainly profiting a wealthy Parisian elite. The new law would ban troublemakers-who Philippe called "casseurs", or thugs-from protests and crack down on people at demonstrations who hide their faces with masks.
Unrest in Paris this past weekend saw rioters starting fires on the prestigious Boulevard Saint Germain, engaging in running battles with the police, and running a forklift into a government building to smash down its gates.More news: Alvaro Morata Edging Closer To LaLiga Return
Macron made multiple concessions that failed to extinguish the anger of the yellow vest movement, which is named after the fluorescent protective garments the protesters wear.
He also announced plans to ban known "troublemakers" from taking part in protests, in the same way known football hooligans have been banned from stadiums before.
"We cannot accept that some people take advantage of these demonstrations to break, to burn".
Numerous "yellow vest" demonstrators are demanding that centrist President Emmanuel Macron resign, a demand dismissed as undemocratic by the government.
He added his party proposed over a month ago that a state of emergency be imposed, lamenting that the call remained unheeded as "the situation degenerates".
"Yellow vests, do not give up!"More news: Bayern Munich to sign Benjamin Pavard from Stuttgart this summer
He added that some yellow vest protesters believed that RT was the only "free media".
Rising prices has emerged as one of the chief grievances likely to be discussed during the debate which will gather up comments from scores of suggestions books at town halls throughout the country. According to analysts, the broad mobilization reflects the deep crisis in France, as well as citizen discontent with government policy.
Members of what has been called a "leaderless movement" have mainly organized via social media, online petitions, videos, and calls to action.
De Maio implored the Yellow Vest movement to ignore the French elite speaking down to them.
About 50,000 people took to the streets again on Saturday in cities around France - more than the previous week's protest, but fewer than the 280,000 who turned out in November.More news: Kevin Hart Won't Host The Oscars And Says He Won't Apologize Again