On Saturday, protesters clad in reflective yellow vests were filmed accosting Alain Finkielkraut, a prominent public intellectual, as he walked with his stepmother on the street in Paris, calling him a "dirty Zionist s-" and other insults.
Police intervened to protect philosopher and writer Alain Finkielkraut after he was targeted by a group of protesters on the fringe of a demonstration.
In a separate incident, a police vehicle stuck in a traffic jam in Lyon, southeastern France, was stoned by demonstrators.
He added: 'The anti-Semitic insults he has been subjected to are the absolute negation of who we are and what makes us a great nation.
More than half of those surveyed said they wanted the occasionally violent protests to end.
Protesters tried to block a depot operated by online retail giant Amazon and some threw stones at police in Toulouse in the south, BFM Television reported.
The president's was among a chorus of tweets, with Interior Minister Christophe Castaner denouncing "the surge of pure hate", while government spokesman Benjamin Griveau tweeted that "the ugly beast lurks in the anonymity of the crowd".
According to a study by the Ifop sociological service, published on Sunday by Le Journal du Dimanche newspaper, 52% of French think that it's high time the protesters stopped their protests.
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These included post boxes featuring a holocaust survivor's portrait being vandalised with swastikas.
Crime data from Germany released last week revealed that anti-Semitic offences had increased by 10% over the a year ago - including a 60% rise in physical attacks.
Fourteen political parties, including Macron's ruling La Republique en Marche, have called for symbolic gatherings next Tuesday to rally against anti-Semitism.
Yellow vest protester holds a French flag during a demonstration Saturday, Feb. 16, 2019, in Lille. "But suffice it to say that inside these protests, as a minority, there are elements from the extreme left or extreme right who are anti-Semitic".
Tens of thousands of "yellow vest" protesters marched across France on Saturday, 3 months since the movement began, and in a week that has seen growing global concern at police treatment of the protesters.
Macron was quick to condemn the verbal attacks on Finkielkraut, along with other government officials.
Demonstrating for the 14th consecutive weekend, 41,500 people turned out across the country, according to the interior ministry, well down on the 282,000 peak during the protests' early weeks.
There were clashes and arrests in several cities but the level of violence and number of demonstrators were down on the previous weekend.