Another contract will involve the training of 36 Qatari pilots and around one hundred mechanics.
Hollande met Qatar's Emir Sheikh Tamim bin Hamad al-Thani to discuss the crises rocking the region, including Saudi-led coalition airstrikes on anti-government rebels in Yemen.
From Doha he will be heading to Saudi Arabia to meet King Salman and attend a key Gulf Cooperation Council summit opening there on Tuesday.
After years of trying to sell its Rafale jets abroad, Dassault has recently clinched several lucrative contracts with Egypt and India.
France is about to ink another fighter jet deal soon as negotiations with the UAE appear to be headed in the "right direction", according Foreign Minister Laurent Fabius.
Experts believe that aside from the Rafale jets' proven successes in combat zones like Afghanistan, Libya and Iraq, French policy in the Middle East has played a significant role in securing the sales, the AFP report said.