Addressing the 34th session of the United Nations Human Rights Council, Abbas condemned the Regularization Law describing it as "a very risky precedent" and urged the global community to "vehemently reject" it.
He called on the High Commissioner for Human Rights to compile a list of companies that support Israeli violations of human rights in the occupied Palestinian territories. The recognition of Palestine would present the two-state solution as an established fact, and thus present the United States and Israel with an "established fact", in case they opt for a "one-state" or other solution, said Abbas.
In his speech, Abbas also warned from moving the embassy from Tel Aviv to Jerusalem, in response to a promise made by US President Donald Trump to move the American from its current location in Tel Aviv.
Abbas was the first of more than 100 leaders to address the council, on the first day of its month-long session.
During this year's session, the council is expected to receive at least three reports detailing allegations of Israeli human-rights abuses against Palestinians in East Jerusalem, the West Bank and the Gaza Strip.
Abbas highlighted the pressing need for the UN and its agency, particularly the UN Security Council, to "take on their full responsibilities" in light of the grave and systematic escalations and widespread human rights violations of Palestinians' rights. The two-state solution would create a Palestinian nation alongside Israel.
Israel captured the Syrian Golan Heights during the 1967 Middle East war, and officially annexed it in 1981.
Abbas' speech at the UNHCR comes just weeks after President Donald Trump appeared to walk away from a long-standing U.S. commitment to the two-state-solution. Most still back the idea that the Palestinian Authority must engage in direct talks with Israel, in order to reach a final status agreement as required by the Oslo Accords.
"You said it yourself, Mr. President: 'Only bilateral negotiations can succeed.' It is therefore time for these negotiations to proceed on an equal footing, state to state", write the signatories. Its latest attempt to revive their dialogue on a two-state solution in January ended in an impasse.
The Trump administration has reportedly mulled quitting the UNHRC over its believed bias against Israel, Politico reported Saturday.