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The conversion of its stock of 20%-enriched uranium was part of a deal to curb Iran's nuclear programme, BBC reports.
The US said last week it would unblock $2.8bn in frozen Iranian funds in return for Iran's compliance.
A four-month extension to talks on Iran's nuclear ambitions was agreed on Friday between Iran and world powers.
The talks are aimed at persuading Iran to limit its nuclear programme in exchange for the lifting of sanctions.
The six world powers involved in the talks - the US, France, China, Russia, Germany and the UK - suspect Iran seeks atomic weapons, which Iran denies.
The country insists that it is enriching uranium for use in nuclear power stations and for medical purposes.
Correspondents say Iran's completion of eliminating its most worrying uranium stockpile is a promising sign that its leaders do not want to derail the diplomatic process.
A new report from the International Atomic Energy Agency (IAEA) says Iran is observing all of its other commitments as well.
Iran had more than 200kg of 20%-enriched uranium when the preliminary agreement to convert it was reached last November.
At 20%, enriched uranium can be converted quickly to arm a nuclear weapon and experts said 200kg was enough to make one nuclear warhead.