KLM Royal Dutch Airlines will buy 3 Boeing Co.'s single-aisle 737s and two extended-range widebody 777s.
KLM also took out options for one additional 737 and two extra 777s.
Financial terms were not disclosed.
Boeing said the planes are worth $716 million (483 million EUR) at list prices, though airlines typically negotiate discounts. The order was previously attributed to an unnamed customer.
With its most recent order, KLM has six 777-300ERs on order and is scheduled to take delivery of its first one in the first quarter of next year. KLM's current fleet includes 15 777-200ERs, some of them owned, others leased.
The airline said the 737-700s will be used to strengthen its short-haul fleet.
According to a source in the Russian Defence Ministry, Russia started deploying elite commando units in eastern Libya. Russian GRU officers, mercenaries and advisors have arrived in Libya