The paper, which is owned by Dassault Systemes, said "Boeing has signed a 30-year contract worth a billion dollars, renewable every 10 years".
Contacted by AFP, Dassault Systemes declined to confirm the value of the deal, but said it is "the biggest in its history."
Dassault Systemes also said today its second quarter net profit was up 21.4 per cent at 123 million euros (USD 143 million), and lowered some of its objectives to take into account the rise in the value of euro.
It will hasten the digital switchover of Boeing's production system and to give it "a competitive advantage in the commercial field, by reducing excessive delivery times", Le Figaro said.
Boeing and its European rival Airbus have years of backlogs of orders for the most popular models of their commercial aircraft, and they get paid only when they deliver planes to their clients.