Israel "is, through its premeditated and deliberate policies, destroying the two-state solution," the Palestinian Authority (PA) president said in a speech to the General Assembly.
"The only way to prevent Iran from getting a nuclear weapon is to put a credible military threat on the table," Lapid said in a speech at the UN General Assembly.
The two leaders met on the sidelines of the United Nations General Assembly, a month after the countries announced the restoration of diplomatic ties following years of tensions.
The surprise step, under the US-brokered Abraham Accords, broke with decades of Arab consensus that ruled out formal ties while the Palestinian conflict was unresolved.
The ministry of foreign affairs strongly condemns the action of the US treasury department in repeatedly sanctioning the ministry of intelligence of the Islamic republic.