"The ICC condemns the US's issuance of an executive order aimed at imposing sanctions on its officials and damaging its independence and impartial judicial work," said the court in a statement.
"The court stands firm with its staff and promises to continue to deliver justice and hope to millions of innocent victims of atrocities around the world," the court added.
In a joint statement, 79 of the ICC's 125 member states, led by Slovenia, Luxembourg, Mexico, Sierra Leone, and Vanuatu, condemn the sanctions.
"Such measures increase the risk of impunity for the most serious crimes and threaten to undermine the international rule of law principle, which is crucial for promoting global order and security."
Sweden is among the countries that have backed the statement, according to the Swedish Ministry for Foreign Affairs.
On Thursday, US President Donald Trump signed a presidential order to impose sanctions on the ICC. He accused the court of unfairly targeting the US and Israel.
"Threatens independence"
The European Council's chief Antonio Costa warns that sanctions against the International Criminal Court (ICC) pose a threat to the broader justice system.
"Sanctions against the ICC threaten the court's independence and undermine the entire international criminal justice system," Antonio Costa writes on X.
Israel, on the other hand, welcomes Donald Trump's decision. The country's foreign minister calls the court's actions against Israel "immoral" and illegitimate.
"I strongly commend President Trump's executive order to impose sanctions on the so-called 'International Criminal Court'," writes Foreign Minister Gideon Saar on X.
Issued arrest warrants
In November, the ICC issued an arrest warrant against Israel's Prime Minister Benjamin Netanyahu and former Defense Minister Yoav Gallant, as well as Hamas military chief Mohammed Dayf, who has been labeled a terrorist.
Trump's signature comes after Israel's Prime Minister Benjamin Netanyahu met with Trump in Washington on Tuesday.
The US has not ratified the ICC's founding document, the Rome Statute.