The official IRNA news agency, quoting the ministry, said the discussions with US officials would be held in Geneva and that similar talks with Russia would follow on Wednesday and Thursday in Rome.
"The Iranian vice foreign ministers will hold negotiations with their American counterparts," as well as lead talks with Russian diplomats, it said today.
The unprecedented set of direct bilateral talks come immediately before Iran's next round of political discussions with the P5+1 group - Britain, China, France, Russia, the United States plus Germany - in Vienna, between June 16-20.
The negotiations with the major powers are aimed at securing a comprehensive agreement on the Islamic republic's disputed nuclear programme ahead of a July 20 deadline.
Several rounds of talks have already been held in Vienna but the latest in mid-May ended with no apparent progress on a deal.
Iran has consistently denied it is seeking nuclear weapons but wants an independent atomic energy programme.
Following the last round in Vienna, Iran urged western powers to resist pressure from third parties not directly involved in negotiations over its nuclear activities, in a clear reference to Israel.
Major issues between Iran and the P5+1 remain outstanding.
These reportedly include the scope of Iran's enrichment of uranium, which if further purified could be used to trigger a nuclear explosion, and its unfinished Arak research reactor, whose by-product waste could provide an alternative route to an atomic bomb.
Negotiators aim to nail down an exceedingly complex and lasting deal limiting Iran's atomic activities in exchange for a lifting of sanctions.
Failure could have calamitous consequences, potentially sparking conflict - neither Israel nor the United States rules out military action - and creating a nuclear arms race in the Middle East.
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