Kushner and US Presidential senior envoy Jason Greenblatt are now visiting Israel as part of a regional tour to meet officials of Israel, Saudi Arabia, Qatar, Egypt and Jordan.
Kushner made the comments to a Palestinian newspaper after holding separate talks in the region with the leaders of Israel, Jordan, Egypt, and Saudi Arabia. Palestinians seek east Jerusalem as the capital of a future state.
Senior Palestinian negotiator Saeb Erekat criticized Kushner's effort on Saturday and accused him of trying to topple the Abbas-led government, which presides over the West Bank. "He has his talking points which have not changed in the last 25 years", he added.
Erekat said in response to the interview that Kushner's interview "represents a policy of dictation rather than negotiations".
The current proposal would probably expand some of the area controlled by the Palestinian Authority but without ensuring a contiguous territory, several experts said.
Israel captured east Jerusalem from Jordan in the 1967 Mideast war and annexed it in a move not internationally recognized.
While the Gaza health ministry originally said the baby had died after inhaling tear gas, she was not included a list ministry the ministry later published of Palestinians killed by the Israel army. The Palestinian leader, Kushner said, "says that he is committed to peace, and I don't have any reason to disbelieve him".
That evening, he will begin his history-making visit to the Jewish state and occupied West Bank during which he will meet both Israel's Prime Minister Benjamin Netanyahu and Palestinian president Mahmud Abbas.
Wasel Abu Yusef, a member of the PLO Executive Committee, claimed the U.S. has failed to win the backing of some Arab countries for its peace plan.
The agency is "weeks away from painful cuts to its emergency assistance for Gaza and elsewhere in the region", UN envoy Nickolay Mladenov said at a UN Security Council meeting this week.
At least 134 Palestinians have been killed in clashes since mass protests broke out along the Gaza border on March 30, approximately 50 claimed by Hamas as members.
Sources close to Abbas have apparently revealed that Saudi Arabia and Jordan are among those which have given the green light to talks with the United States administration about the deal, which it is said will end the Israeli-Palestinian conflict.
"After beginning as a popular phenomenon, it has become clear in recent weeks that the launching of arson and explosive device-laden kites and balloons is now a deliberate activity, planned and executed by the Hamas terror organization, targeting Israeli territory from the Gaza Strip", the IDF said.