The deal was reached during a visit to Tehran yesterday by a senior official of Russia's state atomic energy agency Rosatom, IRNA said.
"Iran and Russia reached a preliminary agreement to build at least two new nuclear power plants," Iranian Atomic Energy Organisation spokesman Behrouz Kamalvandi told the news agency.
The two new 1,000 megawatt plants will be built alongside the existing power station in Bushehr, which was also built by Russia, Kamalvandi said.
Iran, which still faces tight Western sanctions on its oil and banking sectors despite a landmark agreement reached with major powers in November on its controversial nuclear programme, is expected to fund the project on a barter basis.
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But the White House has raised "serious concern" about the potential of the mooted deal to undermine EU and US sanctions which it credits with bringing Iran to the nuclear negotiating table.
Iran and the powers are still in talks on a long-term agreement to allay Western concerns about its nuclear ambitions.