The deal demonstrates CMA CGM's intention to go after the long-haul air cargo business out of Asia, with the two freighters adding 220 tons of widebody capacity to the group's air freight division.
The two planes are CMA CGM Air Cargo's first direct order for new aircraft since being launched in February.
The additional planes will expand their access to space in the tightly constrained market.
The aircrafts have a maximum payload of 112 US tons and a range of 5,700 miles.
CMA CGM declared the B777Fs will make fewer stops and reduce landing fees on long-haul routes.
Meanwhile, Asia-North America air cargo volume growth was up 30 per cent in July, 29 per cent in June, and 30 per cent in May compared with pre-Covid crisis 2019.
Asia-Europe volume was up three per cent in July, five per cent in June, and 2.7 per cent in May compared with 2019.