Trump announced the extension on Truth Social on Tuesday, preserving a truce that had been set to expire at 2 a.m. on Wednesday.
The ceasefire, originally brokered through Pakistan, was extended with no fixed end date, conditional on Iran presenting terms for ending the war.
Trump said a US naval blockade of Iranian ports would remain in place.
Iran had not officially responded to the extension by Tuesday evening. Earlier, the Islamic Revolutionary Guard Corps threatened strikes against Gulf states if the United States or Israel resumed hostilities.
The status of planned US-Iran talks in Pakistan remained opaque. Conflicting reports circulated about whether an American delegation had departed, and Iran had neither confirmed nor signaled preparations for a new round of negotiations.
Shipping restrictions compounded tensions on both sides: Iran continued to block vessels from exiting the Persian Gulf through the Strait of Hormuz, cutting off regional energy exports, while US forces intercepted ships bound for Iranian ports, halting Iranian oil and gas exports.
Both sides have repeatedly accused each other of violating the April 7 ceasefire. Trump accused Iran of breaching the agreement by keeping Hormuz closed. Tehran countered that the US blockade itself violated the truce terms.
Israel presses ahead in Lebanon, reports say
Meanwhile, the Israeli military continued destroying civilian infrastructure across southern Lebanon, razing roads, homes, shops and other structures in 39 communities, according to reports.
Destruction has been concentrated in a buffer zone along the border—dubbed the "yellow line"—where Lebanese civilians face lethal warnings against return.
Lebanon's finance minister said on Tuesday that Israel had caused approximately USD 3 billion in damage since early March. Data from the Lebanese Scientific Council indicated more than 1,000 homes per day had been destroyed since the start of the war.
A Lebanese parliamentary committee was formed on Monday to document the destruction and seek to prevent further damage, with experts warning the actions may constitute war crimes under international law.
Fighting persisted in parts of southern Lebanon and the Bekaa Valley despite the ceasefire. One person was killed and two wounded in a drone strike on the village of Jbour overnight. Artillery and small-arms fire were reported near Houla and Sharqa. Hezbollah launched its first attack on Israel since Friday, citing repeated Israeli ceasefire violations.
Peace talks involving Israel are scheduled for Thursday in Washington.
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Source: Polish Radio, PAP