"The failure of the American venture at the United Nations represents a slap to the U.S. administration and confirmation of the legitimacy of the resistance", Hamas spokesman Sami Abu Zahri wrote on Twitter, using a phrase commonly used to refer to armed groups that oppose Israel.
Despite Riyadh's close ties to Washington, Saudi Arabia's ambassador to the UN Abdullah Al-Mouallimi urged member states to reject the U.S. measure.
"I want to take a personal moment and ask my Arab brothers and sisters: is the hatred that strong?" she asked from the Assembly rostrum before the vote. One that is directly causing harm to the Palestinian people? "Isn't it time to let that go?"
It also reaffirmed "unwavering support" for a two-state solution to the Israeli-Palestinian conflict - issues that were not included in the USA draft. This was echoed by his counterpart with the Democratic Front for the Liberation of Palestine, Tala Abu Zarifa, who suggested that the failure to get the resolution adopted, "is a victory for global justice and the legitimacy of the Palestinian resistance".
A USA bid at the United Nations to condemn the Palestinian Hamas movement for firing rockets at Israel failed to secure enough votes for adoption on Thursday, despite European backing.
The vote ultimately failed to cross the higher threshold, with 87 nations voting in favor and 57 voting against.
Ireland's ambassador to the U.N. Geraldine Byrne Nason said that "settlement activity, violence, and terrorism" are all barriers to achieving such peace.
Prime Minister Narendra Modi with the US Ambassador to United Nations Nikki Haley, in New Delhi.
The Palestinian Liberation Organization, meanwhile, celebrated the failure of the resolution, saying it proves that the world stands with Palestinians.
He said Washington has emboldened Israel to continue its "inhuman practices" against Palestinians in clear violation of global law. "The victory will be in addition to the Palestinian right, no matter how long".
The adoption of the resolution came after UN Secretary-General Antonio Guterres last week urged Israel and Palestine to peacefully resolve their conflict by supporting the two-state solution plan that envisages an independent State of Palestine alongside the State of Israel, west of the Jordan River. Haley, who will step down at the end of the year, has been a staunch defender of Israel.
Israeli Ambassador Danny Danon lamented after the vote that a decision to condemn Hamas had been "hijacked" by procedural votes and hailed the "broad support from the world" for condemning Hamas.
The two-thirds majority that prevented passage of the resolution was advanced by Kuwait on behalf of the Palestinian Authority, and approved by a 75-72 vote with 26 abstentions. She charged the Assembly with a double standard for using a simple majority for other resolutions.