"You, French people of the Jewish faith, your place is here, in your home. France is your country," Hollande said in a speech to mark 70 years of the liberation of the Auschwitz death camp.
After a gunman killed four people in a Jewish supermarket in Paris this month, Netanyahu said he wanted to increase Jewish immigration from France and other European countries where he said there was "terrible anti-Semitism".
Speaking at the Paris Shoah memorial to French Jews who died at Auschwitz and elsewhere during World War Two, Hollande said France would remain a welcoming home for its Jewish population.
"I want to say that France will protect all its children and will tolerate no insult, no outrage, no desecration," he said.
France has the biggest Jewish community in Europe - around 550,000-- a population that has grown by about half since World War Two.
But figures published by the Representative Council of French Jewish Institutions (CRIF) on Tuesday showed the number of anti-Semitic acts in France had doubled last year to 851, 241.
Some 7,000 Jews left France for Israel last year, more than twice as many as in 2013 and the largest number since Israel's birth in 1948, CRIF said. The 2013 figure of 3,300 was a 73 percent increase on 2012.
In 2004, then-Israeli Prime Minister Ariel Sharon angered Paris by urging French Jews to flee "the wildest anti-Semitism" and come to Israel.
When Netanyahu flew to France earlier this month to join a march against the attacks on satirical newspaper Chalie Hebdo and the Jewish supermarket, he said: "Any Jew who wants to immigrate to Israel will be received here with open arms".
According to CFCM, the council of Muslim organisations, anti-Muslim acts and threats in France, home to Europe's biggest Muslim population of some 5 million, fell in 2014 to 133 from 226, but a total of 128 acts and threats were made in the 12 days after the Charlie Hebdo attack of January 7, 2015.
Later on Tuesday Hollande was due to attend a ceremony at Auschwitz, where the Nazis killed about 1.5 million people, mainly European Jews, between 1940 and its liberation by soldiers of the Soviet Union in 1945.