Mali has refused to bury Islamist terrorist Amedy Coulibaly. YouTube

Islamist killer Amedy Coulibaly was buried in an unmarked grave during a secret early morning funeral at a cemetery on the outskirts of Paris.

The 32-year-old, who murdered a policewoman and four Jewish shoppers in the French capital two weeks ago, was laid to rest in the Muslim section of the Thiais cemetery, near Orly airport.

A few family members attended the 6am ceremony that was held amid tight security, police sources told Le Parisien newspaper.

Coulibaly was shot dead by security forces at the end of a tense hostage standoff at the Hyper Cacher Kosher supermarket in northern Paris, earlier this month.

Authorities had since struggle to find a suitable location for his burial, amid fears that the grave could have become a place of pilgrimage for Islamist sympathisers.

According to France's laws, relatives can decide to have deceased buried where they used to live, where they died or where they had family ties.

Earlier this week, it was revealed that Coulibaly's family had opted to send his body to his ancestral home country, Mali.

Local authorities however made a last minute U-turn, refusing to fly the remains there.

It was finally decided to entomb him in Paris, the location of his death.

Coulibaly's fellow Islamist gunmen, Said and Chérif Kouachi, were similarly given night burials in unmarked graves respectively in Reims and in the Paris suburb of Gennevilliers earlier this month.

The brothers were also shot dead by police at the end of a separate hostage standoff, two days after killing 12 people at the offices of satirical magazine Charlie Hebdo.