"It will allow the US forces to take advantage from the facilities offered at some of the Sultanate's ports and airports during visits of the US military vessels and aircrafts, particularly in the port of Duqm," it said.
At the mouth of the Gulf, the strait is crucial to global energy supplies, with about a third of the world's seaborne oil passing through it every day.
Shiite Iran has repeatedly threatened to block the strait due to tensions with Sunni-ruled Gulf nations, including its main regional rival Saudi Arabia.
The narrow waterway is also an international transit route where American forces routinely pass and which has seen tense encounters between them and Iranian forces in the past.
The US-Omani deal was signed by the defence ministries of both countries.
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