The drills, dubbed Steadfast Noon, are held annually and usually run for about one week.
They involve fighter jets capable of carrying nuclear warheads, but do not involve any live bombs.
Conventional jets along with surveillance and refueling aircraft also routinely take part.
Fourteen of the thirty NATO member countries join in the exercise, which was planned before Russia invaded Ukraine in February.
Report says the main part of the manoeuvres would be held more than one thousand kilometers from Russia.