Iran's supreme leader on Wednesday challenged US President Donald Trump over Washington's withdrawal from the nuclear deal with Tehran, saying: "You cannot do a damn thing!"

Ayatollah Ali Khamenei's comments came as he met with a group of school teachers in Tehran - a day after Trump announced he was renewing sanctions on Iran.

Khamenei described Trump's speech on Tuesday night as containing "over 10 lies," without elaborating.

He also said Trump's remarks threatened Iran's people and its theocratic government.

Under Iran's Islamic Republic, Khamenei has final say on all state matters.