Britain's Conservatives have lost their parliamentary majority in the snap general election that held on Thursday, leading to calls for May's resignation.
The number one suspect in the failed coup attempt - the Muslim cleric Fethullah Gulen - remains in the United States and has consistently denied involvement.
Iran's Interior Minister, Mostafa Mohammad-Najjar announced on state television that Rouhani secured just over 50% of the ballot based on a 72% turnout of 50 million eligible voters.
The announcement apparently took the White House by surprise, with Trump only being informed of it after Deputy Attorney General Rod Rosenstein had signed the order.