However, Mr Kushner indicated that his plan would not follow the long proposed two-state solution sought by the Palestinians.
Kushner said his team had spoken to Palestinian businesspeople and ordinary residents and believed the peace plan will be "very acceptable to them".
President Trump's senior adviser and son-in-law vowed Thursday to take a fresh approach that looks to address the key issues of the Israeli-Palestinian conflict, while providing an economic vision. In recent weeks, Kushner also has made appearances at the Milken Institute Global Conference in Beverly Hills, California, a secretive Republican gathering in Sea Island, Georgia, and at the Times 100 Summit in New York City.
"We want the Palestinian people's lives to be better and Israel's security to be stronger", Kushner said.
Kushner, who has been developing the plan with Middle East envoy Jason Greenblatt, has said the proposal is not an effort to impose USA will on the region. The U.S. hopes that Arab countries will help bankroll economic incentives, such as infrastructure and industrial projects, to get Palestinians to buy into the plan.
Mr Kushner said the issue would be discussed with Israel once Mr Netanyahu formed a governing coalition.
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Palestinian leaders have already said they would not accept mediation by Trump, whose evangelical Christian base is strongly pro-Israel and whose actions in support of the Jewish state includes moving the US Embassy to Jerusalem. Israel captured the West Bank, Gaza Strip and east Jerusalem in the 1967 Mideast war.
"Demolitions in East Jerusalem have increased at a staggering pace over the last month, leaving tens of Palestinians displaced and others who have lost their livelihoods overnight", said OCHA's Jamie McGoldrick.
Kushner said that Trump wants the group to "really try to solve this" in a lasting way.
"But long term, I think it helps because what we need to start doing is just recognising truths, and I think when we recognised Jerusalem, that is a truth - Jerusalem is the capital of Israel, and that would be part of any final agreement anyway".
Since then, USA administration has taken several steps against Palestinians, including shutting down the PLO office in Washington, cutting aid to the only United Nations agency providing support to the Palestinian refugees (UNRWA) and cutting aid to the Palestinians.
Kushner acknowledged that he may not be the one who finally makes peace in the Middle East, but said he at the very least wanted to "change the discussion". When you work for your father-in-law, you can't disappoint.