A White House official said Kushner, the president's son-in-law, left Sunday along with Jason Greenblatt, envoy for international negotiations, and Dina Powell, deputy national security adviser.
They were in the Persian Gulf yesterday and expected to be in Israel today, the official said. They were planning to meet separately with Israeli Prime Minister Benjamin Netanyahu and Palestinian President Mahmoud Abbas tomorrow.
The official was not authorised to publicly discuss the private meetings and spoke on condition of anonymity.
Kushner, Greenblatt and Powell have been heavily involved in a behind-the-scenes process to help Trump broker peace between the Israelis and Palestinians, which the first-year president has called the "ultimate deal."
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The talks this week are aimed at helping forge a path to substantive peace negotiations, but no major breakthroughs are expected.
Trump has not outright endorsed the two-state solution, which has been at the heart of U.S. Policy for nearly two decades.
The president has urged Israel to show restraint in settlement construction but not demanded a freeze, disappointing the Palestinians.
In Saudi Arabia yesterday, Kushner and other US officials met Crown Prince Mohammed bin Salman, according to a report on the state-run Saudi Press Agency.
Their talks included "realising a genuine and lasting peace between the Palestinians and the Israelis and to bring about security, stability and Middle Eastern prosperity," as well as cutting off support for extremists, the report said.
The trip to Saudi Arabia comes as no surprise as the kingdom hosted the first overseas trip of Trump's presidency. Saudi Arabia is now engulfed in a diplomatic dispute with Qatar, another US ally nation in the Gulf that hosts a major American military base.