French police have arrested 16 people over the robbery of Kim Kardashian West, in which more than $10 million worth of jewellery was stolen from a Paris apartment.

On October 3, attackers wearing ski masks and clothes with police markings forced their way into the private residence where Kardashian West was staying, tied her up, locked her in a bathroom and held her at gunpoint before taking off with her jewellery.

Monday’s arrests took place at around 6:00am in different locations in the Paris region, as well as the French Riviera and the Normandy region, police officials said. The suspects can be held for up to 96 hours before police must either charge them or let them go.

Media reports said police tracked down the suspects through DNA evidence found at the residence.

An official who spoke on condition of anonymity because he was not allowed to speak publicly about the investigation said many were already well known for robbery and other crimes.

Earlier this month, the starlet broke her silence on the robbery in a new teaser for the family’s reality show Keeping Up With The Kardashians, telling two of her sisters her thoughts at the time: “They’re going to shoot me in the back. There’s no way out.”

You don't want to miss an all-new season of #KUWTK coming this March only on E! pic.twitter.com/XzKovcgb9a

— Kards Katch Up (@kardskatchup) January 7, 2017

Police said the thieves stole a jewellery box containing valuables worth 6 million euros ($8 million) as well as a ring worth 4 million euros ($5 million).

The reality TV star was in Paris attending fashion week shows.

At the time, a spokeswoman for Kardashian West said she was badly shaken but physically unharmed during the incident.

Kardashian West is mega-popular on social media. Photo: Instagram