Iranian state television reported the attack on Wednesday.
Israel has said Iran has repeatedly used cluster warheads, which disperse into multiple smaller explosives mid-air and spread over a wide area, making them difficult to intercept.
The attack on densely populated Tel Aviv overnight on Tuesday killed two people, bringing the death toll in Israel from the war to at least 14.
In Iran, a projectile hit an area near the Bushehr nuclear power plant on Tuesday evening, however it caused no damage or injuries, Iran told the International Atomic Energy Agency.
IAEA chief Rafael Grossi reiterated his call for maximum restraint during the conflict to avoid the risk of a nuclear accident.
Israel and the US have said preventing Iran from developing a nuclear weapons program was one of the goals of the attacks they launched more than two weeks ago, which killed the country's supreme leader and many other top officials.
The Iranian government on Tuesday confirmed the killing of Larijani, the most senior figure targeted since the US-Israeli war's first day, when an Israeli strike killed Iran's Supreme Leader Ayatollah Ali Khamenei.
Iran's Supreme National Security Council, which Larijani led as secretary, said Larijani's son and his deputy, Alireza Bayat, were also killed in an Israeli attack on Monday night.
The targeted killings took place as the US-Israeli war on Iran shows no signs of de-escalation.
Iran's new supreme leader, Mojtaba Khamenei, has rejected proposals conveyed to Iran's Foreign Ministry for "reducing tensions or ceasefire with the United States", according to a senior Iranian official who asked not to be identified.
Khamenei, attending his first foreign-policy meeting since his appointment, said it was not "the right time for peace until the United States and Israel are brought to their knees, accept defeat, and pay compensation".
The official did not clarify whether the younger Khamenei, who has not yet appeared in photos or on TV since being named last week to replace his slain father, had attended the meeting in person or remotely.
Iran said it had executed a man convicted of spying for Israel, media outlet Mizan reported on Wednesday.
The man, identified as Kurosh Keyvani, had been convicted of providing Israel's spy agency Mossad with pictures and information about sensitive locations in Iran, it said.
US-based Iran human rights group HRANA said on Monday that an estimated 3000-plus people have been killed in Iran since the US-Israeli attacks began at the end of February.
In Lebanon, Israeli air strikes in Beirut killed at least six people on Wednesday, the Lebanese health ministry said.
Israeli air strikes also pounded the Hezbollah-controlled southern suburbs of Beirut.
Iranian attacks have killed people in Iraq and across the Gulf states, as well as Israel. More than 900 people have died since Israel began attacks on Lebanon on March 2.
The Strait of Hormuz, a transit point for a fifth of the global oil trade, remains largely closed as Iran threatens to attack tankers linked to the US and Israel. Oil prices have soared.
US President Donald Trump has repeatedly castigated allied countries in recent days for their cool response to his requests for military help to restore the passage of oil tankers through the strait.
Most US allies in the North Atlantic Treaty Organization have told Trump they don't want to get involved in the conflict, he said, describing their position as "a very foolish mistake".
"Because of the fact that we have had such Military Success, we no longer 'need,' or desire, the NATO Countries' assistance — WE NEVER DID!" Trump wrote on social media, also singling out Japan, Australia and South Korea.
The US has given shifting rationales for joining Israel to attack Iran and struggled to explain the legal basis for starting a new war, underscored by the resignation of the head of the US National Counterterrorism Center, Joseph Kent.
Kent wrote in his resignation letter to Trump that Iran "posed no imminent threat to our nation".
Iran has responded to the Israeli-US attacks with wide-ranging strikes on its Gulf neighbours, some of which host US bases.
Australian Prime Minister Anthony Albanese said an Iranian strike had landed near an Australian military base at Al Minhad in the United Arab Emirates just after 9am on Wednesday (AEDT).
No Australian troops were wounded and that "everyone is absolutely safe at this point in time", he said.
Saudi Arabia will host a consultative meeting of foreign ministers from a number of Arab and Islamic countries in Riyadh on Wednesday evening to discuss ways to support regional security and stability, the kingdom's foreign ministry said.
with AP and DPA
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