"I want you to know how much we appreciate the change in American policy on Iran which you enunciated so clearly", Netanyahu, who had an acrimonious relationship with former U.S. President Barack Obama, told Trump at his official residence.
Last week, according to a New York Times report, two U.S. officials, one current and one former, said Trump shared the intelligence supplied by Israel in the fight against Islamic State with the Russian officials during an Oval Office meeting earlier this month, which the American press was barred from attending.
"Today we reaffirm the unbreakable bond of friendship between Israel and the United States", Trump said.
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The Washington Post reported last week that Trump disclosed details of an Islamic State threat related to using laptop computers on aircraft to the Russian diplomats during their May 10 meeting, held just one day after firing FBI Director James Comey.
Speaking on the tarmac at Ben Gurion Airport, Trump said he had come to "this sacred and ancient land to reaffirm the unbreakable bond between the U.S. and Israel".
The first was the Church of the Holy Sepulchre, built at the site where Christians believe Jesus was crucified, buried and resurrected.
The White House said Trump was being updated on the attacks in Manchester, England, by his national security team.
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He is slated to meet separately with Netanyahu in Jerusalem and Palestinian Authority President Mahmoud Abbas in Bethlehem.
His remark on Sunday came after a reporter from Bloomberg News asked Netanyahu about the issue during a photo-op before his meeting with Trump.
Speaking earlier, Netanyahu welcomed Trump on what he called a "truly historic" visit, which he viewed as a "powerful expression of your friendship".
USA first lady Melania Trump on Monday visited a leading Israeli hospital that is also known as a center of coexistence between Arabs and Jews.
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President Trump, Monday, denied reportage that he leaked highly confidential information to Russian Federation in Israel.