"France is your homeland," Hollande said at a Holocaust memorial in Paris, vowing that the government will present "a wide-ranging plan to counter racism and anti-Semitism by the end of February."
He spoke after the country's main Jewish group CRIF said that anti-Semitic acts registered in France had soared to 851 in 2014, from 423 the previous year. Acts of physical violence jumped to 241 from 105.
"These anti-Semitic acts represent 51 per cent of racist acts committed in France while Jews make up only one percent of the French population," said the group in a statement.
France is home to Europe's largest Jewish population, estimated to be between 500,000 and 600,000, as well as the continent's largest Muslim population, estimated at around five million.
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The CRIF group said there was a "very significant and very worrying increase in the violence of anti-Semitic acts" and warned that "anti-Semitic" prejudices were rife in the country.
"The big Internet providers must take responsibility. They can no longer close their eyes or they will be considered complicit," he said.