During a visit to Russia, parliament speaker Ali Larijani said Donald Trump’s threats to decertify the 2005 deal would mean the end of their agreement.
Iran hopes that Russia will play a role in resolving the situation around the nuclear deal, said Larijani, who is in St Petersburg for an international parliamentary forum.
Donald Trump will outline a tougher US strategy for countering Tehran today.
It will seek to strengthen the enforcement of what he called an “embarrassing” nuclear deal and deny funding for Iran’s Islamic Revolutionary Guard Corps.
He said: “It is time for the entire world to join us in demanding that Iran’s government end its pursuit of death and destruction.

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Mr Trump is to deliver a speech this afternoon to announce a confrontational new approach to Iran.
In a big shift, he is expected to say he will not certify Iran’s compliance with a 2015 nuclear accord negotiated by world powers including his predecessor, Barack Obama.
Mr Trump believes the nuclear deal as it is now structured will eventually allow Iran to develop a weapon and wants to toughen US policy to prohibit that eventuality.
Iran says its nuclear program is peaceful and denies it is developing nuclear weapons.
As the administration announced its plan for Iran, Republican Senators Bob Corker and Tom Cotton said they had developed legislation intended to address what they see as deficiencies in the Iran nuclear deal.
In a proposed legislative framework, they offered a plan to automatically reimpose sanctions if Iran’s nuclear program were to get to a point where Tehran could develop a nuclear weapon in less than one year, known as a “breakout” period.
This story is being updated.