Trump told reporters that he is talking to countries about policing the Strait.
President Donald Trump announced "major combat operations" against Iran on Feb. 28, with massive joint U.S.-Israel strikes attack targeting military and government sites, officials said.
Iranian state television confirmed that Ayatollah Ali Khamenei was among those killed in Tehran on the first day of strikes. His son Mojtaba Khamenei was chosen on Sunday to succeed him.
Iran is responding to the operation with missile and drone attacks targeting Israel, regional U.S. bases and multiple Gulf nations. Israel is also intensifying its long-running strike campaign against the Iran-backed Hezbollah militia in Lebanon.
(Read previous Iran live updates here.)
Watch special coverage on Nightline, "War with Iran," each night on ABC and streaming on Disney+ and Hulu.
The Bahrain Interior Ministry released a statement overnight Tuesday saying a 29-year-old Bahraini woman died and eight people were injured in an Iranian strike against a residential building in Manama.
Vice President JD Vance will participate in the dignified transfer of Sgt. Benjamin Pennington, the seventh U.S. service member killed in Iran, Monday evening at Dover Air Force Base in Delaware, according to the pool traveling with him.
Pennington, 26, died Sunday from injuries he sustained during a March 1 retaliation strike on U.S. troops at Prince Sultan Air Base in Saudi Arabia from Iran.
-ABC News' Fritz Farrow and Michelle Stoddart
President Donald Trump said Monday he'd like to help the Iranian people "if they can behave, but they've been very menacing."
"I'd love to help them, but they have to be in a system that allows them to be helped, and right now they're in a system that only allows failure. And I don't want that," he said when asked during a press briefing Monday about his intentions for helping Iranians once his military objectives are over.
"I want a system that's not going to be attacking us," he continued. "We want a system that can lead to many years of peace, and if we can't have that, we might as well get it over with right now."
President Donald Trump said he doesn't "know enough" about a deadly strike on an Iranian girls school when pressed on the incident during Monday's briefing.
The U.S. military was striking targets in Iran in an area where an elementary school was hit and dozens of children were killed on Feb. 28, sources told ABC News.
A newly surfaced video appears to show a U.S.-made missile hitting a building in Iran adjacent to the girls’ school where local officials say 168 people were killed, experts told ABC News.
Asked Monday if the U.S. will accept any responsibility for the strike, Trump said the missile is "very generic."
"I will say that the Tomahawk, which is one of the most powerful weapons around, is used by, you know, is sold and used by other countries," he said, adding that Iran "also has some Tomahawks."
Trump said the incident is being investigated.
"I just don't know enough about it," he said.
"Whatever the report shows, I'm willing to live with that report," he added.
