The eighth Saber Strike manoeuvres, which will run until June 15, come after it was revealed Poland is considering a proposal to welcome a permanent deployment of US troops to the country.
A Polish defence ministry "information document" emerged this week showing that Warsaw could spend between $1.5 to $2 billion to help cover the cost of stationing a US tank unit in Poland.
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The proposal triggered immediate criticism from Moscow, with the Kremlin insisting that any such deployment "will not benefit in any way the security and stability on the continent".
The US has ramped up its presence on NATO's eastern flank and notably Poland since Russia's 2014 annexation of Crimea from Ukraine.
The US army set up a new European headquarters in Poland in May 2017 to command some 6,000 of its troops deployed in NATO and Pentagon operations in the region.
The move was one of the largest deployments of US forces in Europe since the Cold War and was meant to reassure NATO's easternmost allies spooked by Russia's frequent military exercises near their borders and the Crimea annexation.
The US also leads a multi-national NATO battle group in Poland. Germany, Britain and Canada command three others in nearby Baltic states Estonia, Latvia, Lithuania, where Saber Strike manoeuvres are planned.
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Speaking in Warsaw on Monday, NATO Secretary General Jens Stoltenberg said he expected leaders at a July NATO summit in Brussels to "make decisions on reinforcement, readiness and military mobility" of forces in Europe, particularly with regard to the four battle groups deployed in 2016.
Further cementing strong defence ties with Washington, Poland signed a $4.75-billion contract in March to purchase a US-made Patriot anti-missile system, in its largest-ever weapons deal.
Moscow complained about the prospect of the deployment of Patriot systems in Poland and Romania, which it says violates a 1987 arms treaty and could be tailored to shoot missiles at Russia.
In February, Lithuania accused Russia of permanently deploying nuclear-capable Iskander ballistic missiles to its Kaliningrad exclave.
This year's Saber Strike manoeuvres will be partly held in this sensitive region.
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