Israel also vigorously opposes Biden's position, which it views as hostile to Israeli sovereignty in Jerusalem.
"If this is not achieved, why maintain recognition of Israel based on the 1967 borders?" President Mahmoud Abbas said.
Abbas has criticized Israelis' presence at the Al-Aqsa mosque, and his office stresses a cease-fire has to include an end to the "invasions."
Israel said it has avoided civilians and given warnings ahead of some airstrikes, and that it is attacking only militant groups.
Biden called both the Palestinian and Israeli leaders Saturday to discuss the latest spate of violence in the West Bank.
The Left will not let facts or rudimentary morality get in the way of its preferred woke narrative.
Palestinians are now certain they will be rewarded, not punished, for their aggression.
Leaked audio, reportedly of Abbas speaking, was posted on social media
All the talk of elections and power struggles also shows the primary flaw in the Palestinian national project itself.
A heavy smoker, Abbas is now 85 and has no clear successor and few, if any, limits on his power.
"We think that there's momentum for some additional parties to join and to normalize relations with Israel," said National Security Adviser Robert O'Brien.
"The Palestinian leadership rejects and denounces the UAE, Israeli and U.S. trilateral, surprising announcement," a spokesperson for Palestinian President Mahmoud Abbas said.
Many in the international community are deeply alarmed by the Trump/Kushner plan.
Trump is expected to unveil his peace plan alongside Israeli Prime Minister Benjamin Netanyahu in Washington, D.C.
"A Palestinian state must be established with security, borders and a capital before talking about any kind of confederation since it is needed to be able to achieve such a thing," said Ziad Abu Zayyad, an international spokesman for the Fatah party.
The leader has been president of the Palestinian National Authority since 2005.
Abbas had been condemned for saying the persecution of Jews was due to their conduct and not their religion.
The Palestinian Authority president gave a conspiracy theory-laden speech.
"We are ready to begin negotiations immediately in order to achieve the freedom and independence of our people."
In just two days, dozens of Saudi officials were arrested and two princes killed, and talks of war with Iran ignited.
Fatah says it is ready for reconciliation with its Palestinian rival.
Trump and Jared Kushner's efforts to get Israel and the Palestinians to the table have stalled.
Netanyahu criticized Abbas after a public square in Jenin was named after Palestinian militant Khaled Nazzal.
Just the fact that Trump committed his administration to an Israeli-Palestinian peace process sends a message of defiance to the Israeli leadership.
Abbas said he agreed with Trump's call for Israel to refrain from settlement building in the occupied West Bank and East Jerusalem.