The MH-60S helicopter went down on Sunday morning during the overland training flight at Camp Buehring in Kuwait, it said in a statement.
"All six personnel aboard the helicopter survived the crash and were transported to nearby medical facilities for evaluation. Three of the six crew members sustained minor injuries and received treatment. All have been released," the navy said.
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The crash was not a result of hostile activity and will be investigated, it added.
Kuwait hosts about 15,000 military personnel from the United States, which is leading the international coalition fighting the Islamic State extremist group in Syria and Iraq.
There are roughly 35,000 United States troops in the Middle East outside Iraq, where some 3,100 military personnel are to be deployed in the fight against IS.