Mr Trump hosted Israeli Prime Minister Benjamin Netanyahu in February.
What is the two-state solution?
It is shorthand for a final settlement that would see the creation of an independent state of Palestine within pre-1967 ceasefire lines in the West Bank, Gaza Strip and East Jerusalem, living peacefully alongside Israel.
The UN, the Arab League, the European Union, Russia and, until now, the US routinely restate their commitment to the concept.
There have been no substantive peace talks between the Israelis and Palestinians since US-mediated negotiations broke down in April 2014.
He said Mr Trump had stressed “his commitment to a peace process that will lead to a real peace between the Palestinians and the Israelis”.
The US Senate on Thursday approved Mr Trump’s controversial nominee for ambassador to Israel.
David Friedman favours relocating the US embassy to Jerusalem, a highly inflammatory proposal because both Israel and the Palestinians lay claim to the city as their capital.
The US Ambassador to the United Nations, Nikki Haley, met the Palestinian envoy to the UN, Riyad Mansour, for the first time on Tuesday.
She tweeted afterwards that the Palestinians should “meet with Israel in direct negotiations rather than looking to the UN to deliver results”.