Leader of the eurosceptic party, Marine Le Pen, put the petition on Twitter urging her followers to sign it and she used the hashtag #JesoutiensLaPolice, which means ‘I back the police’.
The petition aims to support the police in France and has slammed the government for not doing enough about the riots, which have created chaos across the city.
Anti-police riots were sparked following the alleged rape of a young man, Theo, with a baton.
Protesters against police brutality have taken to the streets of the city with videos emerging showing cars set alight, buildings attacks and police cars reversing away from angry crowds.
The anti-immigrant party, FN, said: “In a context marked by the fight against Islamist terrorism, a state of emergency, riots in certain suburbs, we are staggered by the government’s silence and inaction.”
MP for the same party as her aunt, Marion Le Pen, said: “Support for Theo is an excuse to attack the cops.
“It is a pretext to throw opprobrium on an entire profession.”
On Sunday, Ms Le Pen said that the violent clashes were the result of the government’s laxity.
Ms Le Pen’s reaction to the Paris riots was “adding fuel to the fire”, according to Socialist presidential candidate Benoit Hamon.
He said: “Once more she is creating disorder, she is encouraging violence with her hate speech.”
The government has made an appeal for calm as the riots show no signs of silencing.
The Republican presidential candidate Francois Fillon has also blamed the Socialist government for allowing the demonstrations.
Paris holidaymakers have been warned to stay away from the capital after a group of tourists were attacked on their coach.
The FN candidate has 27 per cent of support for the first round of the upcoming presidential elections.