The Turkish operation, dubbed Peace Spring, will be completely suspended once the YPG completes its withdrawal, Pence said.
President Mike Pence said on Thursday he had reached a deal with Turkish President Tayyip Erdogan for a ceasefire in northern Syria to end an eight-day-old Turkish offensive against Kurdish-led forces.
His decision prompted a raft of criticism at home and overseas, with some accusing him of giving Turkish President Recep Tayyip Erdogan a "green light" for the operation. "You don't want to be responsible for slaughtering thousands of people, and I don't want to be responsible for destroying the Turkish economy - and I will", he wrote.
In a press conference in the Turkish capital Ankara, Mr Pence said the two countries had agreed to a five-day ceasefire in northeastern Syria to allow for the withdrawal of the Kurdish YPG forces from the area.
"Let's work out a good deal", Trump had urged in the letter.
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"I'm not going to get involved in a war between Turkey and Syria, especially when, if you look at the Kurds, and again I say this with great respect, they're no angels", he added. "It will look upon you forever as the devil if good things don't happen", the president concluded.
Mr. Trump declared on Wednesday that the USA has no stake in defending Kurdish fighters who died by the thousands as America's partners against Islamic State extremists.
People flee from the Syrian Kurdish town of Ras al-Ayn along the border with Turkey. He said that President Donald Trump made it clear that had Turkey not agreed, the USA would impose more economic sanctions.
While others made fun of the president's approach. Soon after it was released, though, the White House confirmed that the letter was genuine. He also welcomed the rise of Russian influence in northern Syria, and said that Turkey and Syria "Syria may have some help with Russia, and that's fine", Mr. Trump said, arguing that the conflict is a regional dispute.
In a rare bipartisan rebuke, 129 members of the president's Republican Party in the House of Representatives joined Democrats to formally denounce the move in a vote on Wednesday.