(FILES) Iran's Minister of Intelligence Esmail Khatib (C) sits with Iran's President Masoud Pezeshkian (C-R) before a speech at the parliament in the capital Tehran. AFP
The announcement came a day after Iranian security chief Ali Larijani was confirmed killed in an Israeli strike.
"Prime Minister Benjamin Netanyahu and I have authorised the Israeli forces to eliminate any senior Iranian official for whom the intelligence and operational circle has been closed, without the need for additional approval," he added.
There was no immediate comment or confirmation from Iran, which had responded with fury and vows of revenge to the death of Larijani.
According to Iran's Fars and Tasnim news agencies, funerals for Larijani and Soleimani were due to be held on Wednesday alongside those of more than 80 Iranian sailors killed in a US strike on their frigate off Sri Lanka earlier this month.
It was not certain the funerals would go ahead -- the slain ayatollah Ayatollah Ali Khamenei's funeral was due to be held days after he was killed, but that was later postponed indefinitely.
However, the Mehr news agency published a photo of Larijani's coffin bearing his photo and draped with the Iranian flag, alongside that of his son, whose death was also announced.
In contrast to Mojtaba Khamenei, Larijani, 68, had walked openly with crowds at a pro-government rally last week in Tehran.
Despite losing its ayatollah of nearly four decades as well as Larijani, a key pillar of the Islamic republic, the powerful Revolutionary Guards and the leadership as a whole have remained defiant.
The Guards, the ideological arm of the military, said they had launched missiles at central Israel as retaliation for Larijani's death and warned of more to come.
The "pure blood of this great martyr... will be a source of honour, power and national awakening against the front of global arrogance," they said.
Iranian media, meanwhile, said Israel and the United States had launched fresh strikes across several areas of the country, including Tehran.
Tasnim news agency said "seven people were killed and 56 were injured in an American-Zionist attack on residential areas in Dorud town" in Lorestan province.
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