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 Israel Defense Forces on Tuesday morning issued another "urgent warning" to residents south of the Litani River in Lebanon -- virtually all of the country's south -- again ordering them to evacuate "immediately" and head north of the river.
It's the fourth such notice the IDF has issued amid the ongoing war with Iran. The third forced evacuation for southern Lebanon came Sunday.
-ABC News' Ghazi Balkiz
A second person has now died from their wounds succumbed in Monday's Iranian cluster bomb strike in central Israel, a spokesperson for Sheba Medical Center -- Israel's largest hospital -- told ABC News on Tuesday morning.
That brings the Israeli death toll from Iranian attacks since the ongoing war began on Feb. 28 to at least 12, according to local hospitals and the national emergency service. This number does not include a person who died from cardiac arrest during one attack.
-ABC News' Jordana Miller
The Israel Defense Forces targeted sites in Southern Lebanon where it said the Qard al-Hassan Association had assets and storage facilities.
That group is said to finance weapons purchases and handle other financial transactions for Hezbollah. The airstrikes were "part of ongoing efforts to further degrade Hezbollah’s military capabilities," the IDF said on social media.
The Israeli military also on Tuesday issued a warning for all people in Lebanon south of the Litani River, saying there are ongoing strikes against Hezbollah and its infrastructure in the area.
"The airstrikes are ongoing as the Defense Army is operating with great force in the area," Avichay Adraee, a spokesperson for the Israel Defense Forces, said in Arabic on social media.
He added, "Therefore, and out of concern for your safety, we reiterate our urgent appeal for you to evacuate your homes immediately and head immediately north of the Litani River."
Those who remain are endangering "your lives and the lives of your families," Adraee said.
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.
