(CNN) The Trump administration put the Palestine Liberation Organization on notice Friday that it will close the group's office in Washington if the Palestinians don't get serious about peace talks with Israel, State Department officials said.

Secretary of State Rex Tillerson has determined the Palestinians have violated a rarely invoked provision in US law that calls for the closure of the Palestine Liberation Organization's mission if they act against Israel in the International Criminal Court, the officials said.

The department asserts that Palestinian President Mahmoud Abbas ran afoul of the law in September when he called on the ICC to investigate and prosecute Israel for war crimes against the Palestinians.

"The secretary concluded that the factual record, certain statements made by Palestinian leaders about the ICC, did not permit (Tillerson) to make the factual certification required by the statute" to keep the PLO mission open, a State Department official said.

In a speech to the UN General Assembly, Abbas said the Palestinians have asked the the ICC "to open an investigation and to prosecute Israeli officials for their involvement in settlement activities and aggressions against our people."

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