He flies in from Saudi Arabia, a key US ally, where he gave a speech to Arab and Muslim leaders at a summit, Joinfo.com reports with reference to the BBC.
Mr Trump will hold talks with both Israeli and Palestinian leaders during the course of his two-day stop.
The president has called an Israeli-Palestinian peace agreement “the ultimate deal”, but has been vague about what form it should take.
He has said he prefers to leave it to both sides to decide between them in direct talks.
At a summit in Riyadh on Sunday, Mr Trump called on Arab and Muslim leaders to take the lead in combating Islamist militants, urging them to “drive them out of this earth”.
He singled out Iran – Saudi Arabia and Israel’s main foe – saying it had “fuelled the fires of sectarian conflict and terror” in the region for decades.
Iran’s Foreign Minister Mohammad Javad Zarif later hit back on Twitter, suggesting the US was milking Saudi Arabia for billions of dollars in newly-signed arms deals.
In his speech, Mr Trump also stated again that he believed peace between Israelis and Palestinians was possible.
The US president has been widely seen as considerably more supportive of Israel than his predecessor, Barack Obama. He has taken a softer position on the contentious issue of Israeli settlements, suggesting that their expansion rather than their presence might hamper the search for peace.
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