Supreme Leader Ayatollah Ali Khamenei's daughter, son-in-law, and granddaughter have been killed in strikes by the US and Israel, Iranian media reported on Sunday.

"After establishing contact with informed sources in the Supreme Leader's household, the news of the martyrdom of the daughter, son-in-law and granddaughter of the Revolutionary Leader has unfortunately been confirmed," Fars news agency and other Iranian media reported.

Khamenei reportedly has six children, including three daughters, and it was not immediately clear which one was killed.

The news came shortly after US President Donald Trump announced that 86-year-old Khamenei had been killed in the operation launched on Saturday.

"Khamenei, one of the most evil people in History, is dead. This is not only Justice for the people of Iran, but for all Great Americans, and those people from many Countries throughout the World, that have been killed or mutilated by Khamenei and his gang of bloodthirsty THUGS," he posted on Truth Social.

"There was not a thing he, or the other leaders that have been killed along with him, could do," he added.

Trump also said this is the "single greatest chance" for the Iranian people to "take back" their country.

He said the "heavy and pinpoint bombing" will continue "uninterrupted" throughout the week.

"Or as long as necessary to achieve our objective of PEACE THROUGHOUT THE MIDDLE EAST AND, INDEED, THE WORLD," he said.