“We know exactly where the so-called ‘Supreme Leader’ is hiding,” Trump said in a Truth Social post.

“He is an easy target, but is safe there – We are not going to take him out (kill!), at least not for now.

“But we don’t want missiles shot at civilians, or American soldiers. Our patience is wearing thin. Thank you for your attention to this matter!”

In other posts in recent hours, Trump claimed “we” had total control of Iranian airspace – a claim previously made by the Israeli military, while the US had previously disavowed any involvement with Tel Aviv’s attacks.

And a two-word Truth Social post simply read “UNCONDITIONAL SURRENDER”.

Iran offered no immediate response to the president’s posts, but the country’s military leaders vowed that Israel would soon see more attacks.

“The operations carried out so far have been solely for the purpose of warning and deterrence,” General Abdul Rahim Mousavi, the commander in chief of Iran’s army, said in a video.

“The punishment operation will be carried out soon.”

‘Looking for better than a ceasefire’

Trump said early on Tuesday (Tuesday night AEST) he’s seeking “a real end” to the conflict between Israel and Iran, arguing that outcome would be preferable to a ceasefire while also suggesting his patience for negotiations is wearing thin.

Trump was due to meet later on Tuesday with members of his national security team in the White House Situation Room.

Israel has been pressing Trump to become more involved in its campaign to dismantle Iran’s nuclear facilities, which top officials from the country have said would require American weapons and planes.

The president offered little clarity on whether he would accede to that pressure, which has been countered by loud voices within his own party encouraging him to avoid getting dragged into another foreign conflict.

Trump has offered somewhat mixed messages as the back-and-forth between Iran and Israel enters its fifth day. While he has encouraged Tehran to return to diplomatic talks meant to curb its nuclear ambitions, he is also warning Iranians to urgently evacuate their capital city and dismissing reports that he is reaching out to Iran for talks.

“I didn’t say I was looking for a ceasefire,” he said aboard Air Force One. “We’re looking for better than a ceasefire.”

He said his objective in Iran was “an end, a real end, not a ceasefire,” or “giving up entirely.”

Trump has said previously that Iran must abandon its nuclear program, and alleged Tuesday that Iran was “very close” to developing a nuclear weapon, despite assessments from his own intelligence chiefs that such an outcome was not imminent.

Asked if there’s any guarantee that US bombs could actually reach underground Iranian nuclear bunkers and destroy them, Trump said, “There’s no guarantee in anything.”

While officials told CNN on Monday that Trump had directed his team, including special envoy Steve Witkoff, to attempt meeting with Iranian negotiators as soon as this week, the president sounded non-committal on renewing talks.

While Trump said he was considering dispatching Witkoff and Vice President JD Vance for negotiations, he said it would “depend on what happens when I get back.”

“I’m not too much in the mood to negotiate,” he said later, adding he expects the next 48 hours will reveal more about whether Israel plans to slow down or accelerate its attacks on Iran.

“Nobody’s slowed up so far,” Trump said.

Asked about his Monday night social media post calling for everyone in the Iranian capital Tehran to evacuate, he said there was no specific threat to the city of roughly 10 million.

“I want people to be safe,” he said. “That’s always possible something could happen. I just want people to be safe.”

And he issued a warning to Iran that targeting American troops in the region would lead to a dramatic escalation in the conflict.

“We’ll come down so hard, it’d be gloves off,” he said in response.

Upon arriving back to the White House on Tuesday morning, Trump posted a message he’d received from his ambassador in Israel, Mike Huckabee, acknowledging the US president had “many voices speaking to you” but encouraging him to be open to divine intervention.

“I believe you will hear from heaven and that voice is far more important than mine or ANYONE else’s,” Huckabee wrote.