The Defence Security Cooperation Agency said in a statement that it has notified Congress of the possible sale to the Government of Qatar.
It said the Gulf state has also requested a possible sale of 56 engines and associated equipment including night vision sensors and missile launchers.
The Hellfire tactical missiles request also comes with associated equipment, parts, training and logistical support for an estimated cost of $137m, it added.
"This proposed sale will contribute to the foreign policy and national security of the United States by helping to improve the security of a friendly country that has been, and continues to be, an important force for political and economic progress in the Middle East," the statement said.
"Qatar is host to the US Central Command forces and serves as a critical forward-deployed location in the region," it added.
The Agency said the acquisition of the helicopters will allow for integration with US forces for training exercises and will allow the Qatari Armed Forces to replace its aging aircraft.
"The helicopters will provide a long-term defensive and offensive capability to the Qatari peninsula as well as enhance the protection of key oil and gas infrastructure and platforms," it added.
The prime contractors would be The Boeing Company in Arizona, Lockheed Martin Corporation in Florida, General Electric in Ohio, Lockheed Martin Mission Systems and Sensors in New York, Longbow Limited Liability Corporation in Florida, and Raytheon Corporation in Arizona.
The potential military sale comes hot on the heels of Qatar showing interest in a $2.5bn deal to buy 22 Seahawk helicopters from the US.
The Agency said last month that the Government Qatar was keen on a deal to include 22 Seahawk multi-mission helicopters, 12 fitted with the armed helicopter modification kit.
