Angry French people went out into the streets of Paris despite a government ban on demonstrations as they called for a tougher government policy on Muslim migrants, reports said.

The public show of anger came a day after the Islamic State (ISIS) admitted responsibility for the terrorist attack in the French capital that killed 129 people and injured 352 others, with 99 in critical condition.

The extreme right-wing protesters were armed with flares and with banners reading: "Throw out Islamists" as they pushed their way through a peaceful crowd, chanting "Out the Muslims!" according to the Daily Express.

The angry protesters who belong to the Front National joined a solidarity march of peaceful demonstrators in Paris who carried banners declaring "We are not afraid", "Pray for Paris" and "Je suis Paris" in homage to the terrorist attacks on Charlie Hebdo in January.

As the protests were going on, news broke out that at least one of the terrorists responsible for the attacks in Paris was a Syrian refugee, furthering angering the demonstrators.

Even as President Francois Hollande promised a "merciless" response a day after the wave of attacks by gunmen and bombers in Paris, Front National leader Marine Le Pen declared that the French people "are no longer safe" and called for "urgent action," saying, "Islamist fundamentalism must be annihilated, France must ban Islamist organisations, close radical mosques and expel foreigners who preach hatred in our country as well as illegal migrants who have nothing to do here."

"It is absolutely necessary that France regains control of its borders," she said amid growing French concern over the massive influx of Muslim migrants into the country recently, a WND report said.

Polls have indicated Le Pen's past strong speeches against immigration are helping her campaign in the 2017 presidential race, reported Reuters.

Before the attack, she was considered likely to win regional elections in northern France in December and to make it to the second round afterwards, although not winning the run-off. It remains to be seen if the Paris massacre will boost her support further.

Mourning Parisians have laid flowers and candles at the six locations where the terrorist attacks took place.

Londoners also gathered in Trafalgar Square on Saturday in solidarity with the French people.

Iconic landmarks worldwide have lit up in the colours of the French flag to show global solidarity with France as it grapples with its worst ever terrorist attack. Friday's coordinated Paris massacres were the worst such attacks in Europe since the Madrid train bombings of 2004, in which 191 died.