Thieves have broken into Paris' Louvre museum through a window and have stolen pieces of jewellery with "inestimable heritage" before escaping on motorbikes, the French interior ministry said on Sunday, Reuters reported.

"The investigation has begun, and a detailed list of the stolen items is being compiled. Beyond their market value, these items have inestimable heritage and historical value," the ministry said in a statement.

No injuries were reported, either among the public or among Louvre staff or law enforcement officers, it said, according to Reuters.