US president Barack Obama said the west had “cut off every single path” that Iran could have used to build a nuclear weapon through a landmark deal.
The UN yesterday confirmed that Iran had dramatically cut back its nuclear programme and dumped tonnes of uranium in return for a lifting of crippling sanctions.
Mr Obama said the world was more secure under the diplomatic leap, which will see Iran subject to intensive ongoing inspections.
"If Iran tries to cheat, if they try to build a bomb covertly we will catch them," he said.
The bottom line is this: whereas Iran was steadily expanding its nuclear programme, we have now cut off every single path that Iran could have used to build a bomb.
He also hailed the talks as opening a "unique opportunity" for diplomatic negotiations, resulting in the release of four of its citizens held by Iran under a prisoner swap.
A Swiss plane carrying US prisoners freed by Iran on Saturday as part of a prisoner swap deal, and some family members has left Tehran, a US official has said.
"Yes, the plane has left," the official told Reuters news agency.
Jason Rezaian, the Washington Post's Tehran bureau chief, Saeed Abedini, and pastor from Idaho and Amir Hekmati, a former Marine from Michigan are believed to be heading to Switzerland.
Friends and colleagues at The Washington Post are elated by the wonderful news that Jason Rezaian has been released from Evin Prison and has safely left the country with his wife, Yeganeh Salehi
A fifth prisoner, American student Matthew Trevithick, was released separately on Saturday, the official said.
It comes as international sanctions against Iran were lifted after its government met all of its obligations under a deal agreed last July to curb its nuclear programme.
- Update: Nosratollah Khosravi-Roodsari was also initially reported to have been on board the plane but this was later clarified as not the case by a senior US official.
Iran's President Hassan Rouhani has hailed the lifting of international sanctions against his country as part of a nuclear deal as "a golden page in Iran's history".
Addressing parliament and presenting the draft budget for the next Iranian fiscal year, President Rouhani said the deal had "increased national confidence".
He added that the agreement would be "a turning point" in Iran's economy which has been struggling since international sanctions were introduced in response to Tehran's nuclear programme.
He called for economic reforms and less reliance on oil revenues in the post-sanctions era.
Iran is now expected to be able to access roughly $50 billion out of a reported $100 billion in holdings it has abroad.
Britain's Foreign Secretary Philip Hammond has welcomed the lifting of international sanctions on Iran and urged British firms to take advantage of the new opportunities that would open up as Iran was brought in from the cold.
The International Atomic Energy Agency (IAEA) in Vienna confirmed the government in Tehran had met all of its obligations under a deal last July to curb its nuclear programme in return for the lifting of sanctions.
Mr Hammond said the findings of the IAEA inspectors had confounded sceptics who said that Iran would never give up on its nuclear programme.
The deal paves the way for Iran to resume oil exports while recouping around 100 billion dollars in frozen assets.
The nuclear deal with Iran, in which Britain played a major role, makes the Middle East and the wider world a safer place.
Years of patient and persistent diplomacy, and difficult technical work, have borne fruit as we now implement the deal.
I hope British businesses seize the opportunities available to them through the phased lifting of sanctions on Iran. The future is as important as the landmark we've reached today.
A group of five US citizens including the Washington Post reporter Jason Rezaian have been released from jail by Iran, John Kerry has announced.
The US Secretary of State said the men were expected to return to American soil shortly after they were set free under a prisoner swap deal.
I am very happy to say, as we speak, we have received confirmation that five Americans that have been unjustly detained in Iran have been released ... and they should be on their way home to their families before long.
The swap was announced earlier today ahead of the much anticipated lifting of sanctions on Iran under a historic nuclear deal formalised tonight.
Former rogue state comes back in from the cold as UN nuclear watchdog said it has upheld promises to drastically cut its nuclear programme.Read the full story ›
Iran has cut back its nuclear activities in line with an international agreement, the head of the UN's nuclear watchdog IAEA has announced.
It paves the way for international sanctions to be lifted.
The announcement comes after the US and Iran announced a prisoner swap, a major diplomatic coup setting the stage for today's much anticipated announcement.
The prisoner swap by Iran marks a "new era in relations with the West", a former Iranian diplomat has told ITV News.
Mehrdad Khonsari said it is a "victory for common sense and diplomacy".
Seven prisoners - including US journalist Jason Rezaian - were freed by Iran in a prisoner swap.
The release comes as Iran's foreign minister met with John Kerry in Vienna, as international sanctions are expected to be lifted on Iran.
It is a victory for common sense and diplomacy that has persevered. It's a victory for not giving up when things don't look bright and trying to work things out peacefully...
What has taken place marks the beginning of a new era in Iran's relations with the West.
ITV News Correspondent Duncan Golestani reports:
Iran has released a fifth American, student Matthew Trevithick, a US official has announced.
He was said to have been freed separately from four dual nationals including the US reporter Jason Rezaian who are being released under a 'prisoner swap' deal.
A US official said the state has offered clemency to seven Iranians who were convicted or had pending trials. It also removed intentional red wanted notices against a further 14 people.
A US official has stressed the deal is a "one-time arrangement" that should not be viewed as a precedent.
It comes amid a historic thaw in relations between the US and Iran ahead of a widely anticipated nuclear deal.
American officials have confirmed that the Washing Post reporter Jason Rezaian is among four dual US citizens being released by Tehran under a 'prisoner swap' deal.
They announced the US is to release seven Iranians, six of who hold dual US citizenship, who were held for violations of international sanctions against Iran, officials in Washington said.
In a addition Rezaian, three other dual citizens being released by Iran are Amir Hekmat, a former US marine; Saeed Abedini, a Christian pastor; and Nosratollah Khosravi.
None of the US prisoners held by Iran have yet left Tehran, the US said.