The F-35 Lightning II aircraft crashed at 12:49 p.m. Alaskan time into the fence line of the base.
Initially, reports attributed the attack to Israel but then shifted to the US.
The B-52 Stratofortress is a long-range heavy bomber that has the ability to perform various missions, according to the US Air Force.
Al Masirah TV reported that US and British forces carried out the strikes, but a British government source said Britain was not involved.
IS is acquiring forces in the North Arabian Desert, and is training recruits to become suicide bombers, to attack allied troops.
At least five US personnel were injured in an attack against a military base in Iraq on Monday, US officials told Reuters.
Officials have told Reuters that a wide range of options are under consideration, including aircraft and naval assets.
Gen. Brown asked Israel to think of how a war would affect the region, as well as the impact it would have on US forces.
The F-16 Fighting Falcon assigned to the 8th Fighter Wing experienced "an in-flight emergency" over the sea and crashed.
Strikes garnered responses from other Iranian proxy groups.
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