Donald Trump has fought Iran's "ignorant and abusive statement" after the US president announced new sanctions on the nation of the Middle East.
The tweets came after Iranian President Hassan Rouhani said the White House's move had been "mentally retarded".
Mr. Trump said it has shown that Iranian leaders "do not understand reality".
He revealed the sanctions on Monday and said they were a response to Iran's recent "aggressive behavior".
The sanctions target a number of people, including Iranian Supreme Leader Ayatollah Ali Khamenei, who, according to Trump, "is ultimately responsible for the regime's hostile behavior."
The US allegedly has Ayatollah Khamenei access to vast amounts of wealth that will help fund the Islamic Revolution Guard Corps (IRCG). In a statement issued in 201
8, US Secretary of State Mike Pompeo suggested that it was $ 95 billion (£ 75 billion) and was "used as cover for the IRGC".
But Mr. Rouhani asked why the US would become single from a man of whom he said he had only "a Hoseyniyyeh [prayer venue] and a simple house" and called the sanctions "outrageous and idiotic".
He also said that the US lies because they want a dialogue.
But Mr. Trump said Iran only understands "strength and power, and the US is by far the most powerful military force in the world".
"Any attack by Iran on anything American will be taken with great and overwhelming force," he added in a tweet.
"In some areas overwhelming will my extinction."
Who are the new sanctions?
Some analysts said the sanctions are largely s ymbolic, although the US Treasury said the measures would save billions of dollars in assets.
Mr. Trump said the measures would deny Ayatollah Khamenei, his office and closely associated persons access to important financial resources and support.