Hollande said these types of violent tragedies did not only hurt the families and that "it's the best of France that finds itself hurt, broken."
He said the assault showed that "evil sweeps through our societies" and denounced "a form of violence all the more unbearable because it aims to divide."
Both the country's prime minister and interior minister have already blasted the brutal assault, which happened on Monday in the Paris suburb of Creteil, as "anti-Semitic".
Earlier Interior Minister Bernard Cazeneuve said in a statement that the "anti-Semitic nature (of the attack) seems proven," adding that the assailants "started with the idea that being Jewish means having money."
The attack happened around lunchtime on Monday, when a 21-year-old man and his 19-year-old girlfriend were in an apartment in Creteil just outside Paris.
According to the family's lawyer, the attackers said "you Jews, you have money" when entering while wearing masks and gloves. The father of the family wears the Jewish yarmulke cap and those in the neighbourhood would have known they were Jewish, said lawyer Severine Benayoun.
The suspects were armed with an automatic pistol and a sawed-off shotgun.
They tied up the victims, raped the young woman and fled an hour later after stealing jewelry, bank cards and mobile phones, a source familiar with the case said.
Two suspects accused of participating in the violence were charged on Wednesday with gang rape, armed robbery, kidnapping and extortion followed by violence due to religious affiliation, prosecutors said.
The third suspect in the attack remains at large. A fourth suspect has been arrested as an alleged accomplice in the robbery.
The accused are also suspected of having beaten a Jewish man in his 70s in November.
A lawyer for one of the suspects said the interior ministry had reacted prematurely and condemned the "media frenzy" surrounding the case.
(A synagogue in Sarcelles that was attacked during a pro-Palestine demon earlier this year)
Anti-Semitic attacks nearly doubled in France in the first seven months of the year, the country's main Jewish group said in September.
A total of 529 anti-Semitic actions or threats were registered up to the end of July, against 276 for the same period last year, the Council of Jewish Institutions in France (CRIF) said, citing figures from the interior ministry.
In September the country's Chief Rabbi Haim Korsia said that the spike in anti-Semitic attacks threatens "French society".
In addition to the largest Jewish diaspora in Europe, France is also home to the continent's biggest Muslim community, which is estimated at around five million.
Tensions over the recent Gaza conflict spilled out into the streets of France in July with looters destroying Jewish businesses and shouting anti-Israel obscenities in the Paris suburb of Sarcelles — sometimes known as "Little Jerusalem" for its large community of Sephardic Jews.
And in 2006, the kidnapping, torture and murder of a young Jewish man by a gang called the "Barbarians" shocked the country.
Speaking to The Local earlier this year Marc Knobel, head of studies at France's Jewish umbrella organization CRIF insisted that France was not an anti-Semitic country.
"I don't doubt that anti-Semitism exists in certain categories of the French population, and there is anti-Semitic violence in France, but France is not an anti-Semitic country," he said.