In a late night Twitter message directed at Rouhani, Trump wrote: "NEVER, EVER THREATEN THE UNITED STATES AGAIN OR YOU WILL SUFFER CONSEQUENCES THE LIKES OF WHICH FEW THROUGHOUT HISTORY HAVE EVER SUFFERED BEFORE".
The US pressure is being done primarily to try to force Iran to end its civilian nuclear program.
The top general added other than economic sanctions it is not possible to predict what other actions the US would take against Iran in the future.
"You are declaring war against Iran and at the same time claim support for them?"
The Trump administration is regularly suspected of favoring regime change in Iran, and Pompeo said "our hope is that ultimately the regime will make meaningful changes in its behavior both inside Iran and globally".
Earlier, Iran's president warned Mr Trump against provoking his country, while indicating peace between the two nations might still be possible.
On Sunday, Pompeo will give a speech titled "Supporting Iranian Voices" in California and meet Iranian Americans, many of whom fled the Islamic Revolution that toppled Shah Mohammad Reza Pahlavi. 'Iranian people are the master and they will never bow to anyone'. Iranian leaders reject U.S. claims about developing nuclear weapons and supporting terrorism.
WIKIPEDIA SPEAKER Ali Larijani said the peace deal will'foment chaos in the Middle East
But some U.S. officials and other experts cautioned that by fueling turmoil in Iran, the U.S. administration could foster greater authoritarian rule and a more aggressive foreign policy, raising the threat of a U.S. -Iran confrontation.
The already tense relations between Washington and Tehran have been strained further by the US State Department's campaign to subvert the Iranian government through propaganda.
Rouhani repeated his warning that Iran could shut down the strategic Strait of Hormuz, a vital shipping lane for global oil supplies.
New US sanctions could lead to Iran's oil exports falling by two-thirds by the end of the year, putting oil markets under huge strain. Iranian officials have said United States measures equal an "economic war" on Iran.
On Saturday, Iran's supreme leader Ayatollah Ali Khamenei said the U.S. does not abide by agreements.
"Data shows that the sanctions regime this administration plans to impose following the president's decision to violate the [Iran deal] will hurt the Iranian people", the statement added.
It is unclear whether the European Union can salvage the nuclear deal without the support of the United State, which is taking a hardline approach on the Gulf nation.
Iran insists its nuclear programme is entirely peaceful, and its compliance with the deal has been verified by the International Atomic Energy Agency (IAEA), which has said Iran is honouring its commitments.
Asian stocks choppy, sentiment shaken by sliding yuan
Trading partners including China, Canada, the European Union, and Mexico have hit the United States with retaliatory tariffs. USA stocks inched lower Friday as bond yields jumped, a shift that helped banks but hurt companies that pay big dividends.
Modi government passes no-trust test comfortably
Modi in his speech accused Gandhi of "trampling upon the truth to mislead the nation on security-related issues". He compared the status of employment with China which gives jobs to 50,000 people in 24 hours.
Bust Out Your Best Denim Overalls Because Today Is "Mamma Mia" Day
With so many projects, we wouldn't be surprised if that $305 million swells even larger in the near future. But as Cher told Entertainment Tonight , "I just thought it was cool".