In addition to the closure of the Eiffel Tower, many shops and museums across France, including the Louvre, the Musée d'Orsay and the Grand Palais, will keep their doors shut on Saturday for safety reasons.
The national Federation of French markets said that Christmas markets have been "strongly impacted" and that its members registered "an average fall of their estimated figures between 30 and 40 percent since the beginning of the yellow vest movement".
Authorities are deploying barricade-busting armored vehicles and 8,000 police in the capital alone; nationwide, some 89,000 security forces fanned out to deter or confront troublemakers expected at multiple protests. "I hope he will speak to the people of France as a father, with love and respect and that he will take strong decisions", he said.
With protesters calling on social media for "Act IV" - a fourth weekend of protest - Prime Minister Edouard Philippe said 65,000 police would be drafted in to stop a repeat of last Saturday's mayhem in Paris, when rioters torched cars and looted shops off the Champs Elysees boulevard.
After the meeting a spokesman from the movement, Christophe Chalencon, said Philippe had "listened to us and promised to take our demands to the president".
The government is scrambling to stave off another Saturday of burned cars and running street battles with police by "yellow vest" protesters furious over rising costs of living they blame on high taxes.
"We need to protect culture sites in Paris but also everywhere in France", Culture Minister Franck Riester told RTL radio.
On Friday he met gendarmes in the eastern Paris suburb of Nogent-sur-Marne ahead of the Saturday demonstrations.
Foreign governments are watching developments closely in one of the world´s most visited cities.
As it did last weekend, the U.S. Embassy advised Americans to avoid the demonstrations.
In a warning of impending violence, an MP for Macron´s party, Benoit Potterie, received a bullet in the mail on Friday with the words: "Next time it will be between your eyes". A ring of steel surrounded the Elysee Palace itself as police stationed trucks and reinforced steel barriers in streets throughout the entire neighborhood.
The movement criticizes President Emmanuel Macron and has disparate grievances, including education reform, police brutality, and union workers' rights.
Macron this week gave in to some of the protesters´ demands for measures to help the poor and struggling middle classes, including scrapping a planned increase in fuel taxes and freezing electricity and gas prices in 2019.
But the "yellow vests", who have become increasingly radicalised, are holding out for more. He called on peaceful protesters not to get mixed up with "hooligans". Protesters threw flares and other projectiles, and were repeatedly pushed back by tear gas.
But his climbdown on fuel taxes - meant to help France transition to a greener economy - marks a major departure for a leader who had prided himself on not giving into street protests.
Macron himself, the target of the protesters' ire, has been largely invisible in recent days, leaving his prime minister and government to try to negotiate with protesters.
Parts of Paris looked as if they were bracing for a hurricane, with boards on windows covering up the Christmas decorations.
Police removed any materials from the streets that could be used as weapons, especially at construction sites in high-risk areas.
"It's with an vast sadness that we'll see our city partially brought to a halt, but your safety is our priority", said Mayor Anne Hidalgo.
Since the unrest began November 17 in response to a sharp increase in diesel taxes, four people have been killed in protest-related accidents.