French radio station RTL reported the arrests on Thursday, following an interview with Laure Beccuau.
The Paris prosecutor’s department shared the interview on social media with the caption: “Louvre Burglary: Five New Suspects Apprehended.”
In the interview, Ms Beccuau said one of the five suspects was identified through DNA traces left at the crime scene, but she added that it was “too early” to comment further on the suspects’ identities.
All five were arrested in coordinated raids in the Paris area late Wednesday, but searches overnight “did not allow us to find the goods”, Ms Beccuau said.
It comes after the prosecutor said two suspects arrested over the jewellery heist had “partially” confessed to their involvement in the robbery.
Four thieves stole nine items – one of which was dropped and recovered at the scene – in a heist pulled off while the world-famous Paris museum was open to visitors on 19 October.
It took the thieves less than eight minutes to steal the jewels. They forced open a window and cut into cases with power tools after gaining access via a vehicle-mounted mechanical lift.
Ms Beccuau urged the thieves on Wednesday to return the French crown jewels.
“These jewels are now, of course, unsellable,” she said. “Anyone who buys them would be guilty of concealment of stolen goods. It’s still time to give them back.”
Regarding the two suspects in custody since Saturday, Ms Beccuau previously revealed that one is a 34-year-old Algerian national who has been living in France since 2010.
He was arrested Saturday night at Charles de Gaulle airport as he was about to fly to Algeria with no return ticket.
Ms Beccuau said that he was living in the Paris suburb of Aubervilliers, and was known to police mostly for road traffic offences. His DNA was found on one of the scooters used by the thieves to leave the scene, according to the prosecutor.
The other suspect, 39, was arrested Saturday night at his home in Aubervilliers.
“There is no evidence to suggest that he was about to leave the country,” said Ms Beccuau.
The man was known to police for several thefts, and his DNA was found on one of the glass cases where the jewels were displayed, and on items the thieves left behind, she added.
The heist exposed major gaps in the Louvre’s defences.
Paris police chief Patrice Faure told politicians that ageing security systems had left weak spots.
“A technological step has not been taken,” he said.
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