The ministry said Redoine Faid's escape only took "a few minutes" on Sunday and no-one was injured or taken hostage.
On the morning of 1 July, on the territory of the prison raided, three men armed with guns and masked men who demanded the release of 45-year-old Faida (at this point he was in the room for visits, where he talked with his brother).
Belloubet told broadcaster Europe1 that she had ordered an investigation into the getaway of Faid, who was serving a 25-year sentence for a 2010 robbery in which a policewoman was killed. At that time he used four guards as human shields and explosives that were hidden in a tissue box to blow out prison gates.
He was on the run for six weeks before police captured him in a hotel with an accomplice.
"It was an extremely well-prepared commando unit that may have used drones to survey the area beforehand", Justice Minister Nicole Belloubet said.
Faid grew up in the French capital's tough immigrant suburbs.
Faid, 46, is an avid fan of caper films, the author of a confessional book about his life of crime - and a serial robber of banks and armored trucks.
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"Redoine Faid is someone who has freedom in his DNA".
Faid's accomplices took hostage a flying instructor from a small flying school in Fontenay-Trésigny commune, and ordered him to fly to the prison.
He had been released on parole in 2009, after spending 10 years behind bars for a series of robberies.
Delabroye, the prison union representative, said that the yard the helicopter landed on is the only area which is not equipped with anti-aircraft netting.
The French government pointed to possible security failings on Monday after a notorious gangster used a helicopter to stage his second brazen jailbreak of a crime career inspired by films such as "Scarface". The helicopter was found burned out.
Around 3,000 French police are now participating in the manhunt, according to a police source.
He has co-authored several books about his delinquent youth and his life as a criminal in Paris.
He wrote that he had watched the film dozens of times to ideal his bank-robbing prowess. "Behind all his manners - he is very polite - he always hid his game".