“They will be meeting but we have no further details at this stage,” a Foreign Office spokeswoman told AFP, adding that the meeting would take place on the sidelines of the UN General Assembly.
The talks between Hague and Foreign Minister Mohammad Javad Zarif were requested by the British government following the election of new Iranian President Hassan Rowhani in June.
London suspended diplomatic relations with Iran after hardline demonstrators stormed its Tehran embassy in November 2011, in an attack Britain said appeared state-sponsored.
But both sides have indicated they are open to restoring ties.
Prime Minister David Cameron told lawmakers on Monday: “We have effectively reached out to the Iranian government after the recent elections.
“And I have written to President Rowhani, so we are prepared to start trying to have a relationship with them.”