"The United States will hold the regime in Tehran accountable for any attack that results in injury to our personnel or damage to our facilities," Pompeo said. "America will respond swiftly and decisively in American lives and we will respond against the source of the attack on American interest."
Pompeo also said that the United States would not tolerate Iranian dominance of the Strait of Hormuz.
According to Pompeo, the international community must do everything it can to stop the funding of Iran's Islamic Revolutionary Guard Corps and the Iranian Ministry of Intelligence so that their agents cannot sustain terrorism.
Pompeo said US sanctions against Iran were designed to target the government of Tehran and its proxies over their terrorist activities, not the citizens of the country.
"Unfortunately, just last night, I was disturbed and indeed deeply disappointment to hear remaining parties on the deal setting up a special payment system to bypass US sanctions," Pompeo said at an event in New York on the sidelines of the United Nations General Assembly.
Pompeo called the EU plan the most counterproductive measure in dealing with Iran, a country he characterized as a state sponsor of terrorism.
The top US diplomat said that by providing financial support to Iran, European countries are enabling Tehran's "violent export of revolution" and making the sitting Iranian government wealthier and more powerful, while ordinary Iranians continue to struggle.
He called on all countries to follow the example of those states which have taken concrete steps to counter Iran's illicit activities and urged the international community to hold Tehran accountable for its actions.
The first set of US sanctions, concerning Iran's purchase of dollars, trade in gold and precious metals, as well as sales of commercial passenger aircraft and auto parts and related services, came into effect on August 7.