Iran's Foreign Minister Mohammad Javad Zarif has said that economic terrorism and genocidal taunts won't 'end Iran'.
The comments by Iran's top diplomat follow an ominous warning by Trump, who on Sunday suggested Iran would be destroyed if it attacked US interests.
"If Iran wants to fight, that will be the official end of Iran. Never threaten the United States again," Trump tweeted.
Relations between Washington and Tehran plummeted a year ago when Trump pulled out of the nuclear deal with Iran and imposed tough sanctions.
Tensions have risen further this month with Washington announcing further economic measures against Tehran, before deploying a carrier group and B-52 bombers to the Gulf over unspecified Iranian threats.
Last week, the Trump administration ordered non-essential diplomatic staff out of Iraq, citing threats from Iranian-backed Iraqi armed groups.
On Sunday a rocket was fired into the Green Zone of the Iraqi capital Baghdad, which houses government offices and embassies including the US mission. It was not immediately clear who was behind the attack.