Pompeo went on to say, "this includes persons who take or have taken action to request or further section an investigation - these visa restrictions may also be used to deter ICC efforts to pursue ally personnel, including Israelis, without ally's consent".
The U.S. secretary of state said, "if you are requesting an ICC investigation of U.S. personnel in connection with a situation in Afghanistan, you can not assume you will get a visa to enter the U.S".
"If you're responsible for the proposed ICC investigation of U.S. personnel in connection with the situation in Afghanistan you should not assume that you still have, or will get, a visa or that you will permitted to enter the United States", Pompeo added. He said the policy had already taken effect, but declined to say who had been restricted or would face future restrictions.
The ICC was established in 2002 under the Rome Statute and joined by 123 countries.
Pompeo also warned about potential economic sanctions "if the ICC does not change its course".
This past September, Bolton said the ICC was a direct threat to USA national security interests and he threatened its personnel with both visa revocations and financial sanctions should it try to move against Americans.
"The ICC is attacking America's rule of law", Pompeo told reporters.
"The Trump administration is trying an end run around accountability", it said.
"When US service members fail to adhere to our strict code of military conduct they are reprimanded, courtmartialed and sentenced, if that's what's deserved", he said.
The ICC and human rights groups reacted swiftly to Pompeo's remarks.
The Hague-based court, the first global tribunal for war crimes, said it would continue to operate "undeterred" by the USA action.
James Goldston, executive director of the Open Society Justice Initiative, said Pompeo's remarks reflected the administration's view that global law matters "only when it is aligned with United States national interests".
Pompeo made good on a threat delivered last September by President Donald Trump's national security adviser, John Bolton.
"We will not cooperate with the ICC", Bolton said. "We will let the ICC die on its own".