Presented by Algeria and Turkey on behalf of Arab and Muslim countries, the measure won a decisive 120 votes, with eight votes against and 45 abstentions.
The document largely followed the Kuwait-drafted resolution that was vetoed by the United States at the UN Security Council earlier this month.
"The Hamas terror organization does not hesitate to take extreme measures, including exploiting humanitarian means to carry out terrorist acts, despite Israel's efforts to prevent a civil deterioration in the Gaza Strip and the provision of humanitarian needs", the coordinator said in his statement, as quoted by The Times of Israel.
An Israeli drone on Friday fired two missiles near the Gaza-Israel fence in ostensible retaliation for the use of "fire kites" - flaming kites flown into Israeli territory - by Palestinian demonstrators and activists.
Palestinians launched the "Lifting the Sanctions" campaign on June 10 in solidarity with their fellow Palestinians in Gaza, who have been attacked by Israeli occupation forces since March 30 when the Great March of Return began.
US Ambassador the the UN Nikki Haley spoke at the General Assembly and criticized the clear bias against Israel reflected in the "one-sided" resolution. "That's why we are here today", Haley told the Assembly.More news: Kevin Durant Essentially Confirms This LeBron James Scenario Won’t Happen
The UN General Assembly votes on and adopts resolution on the Protection of the Palestinian civilian population.
Palestinian President Mahmoud Abbas welcomed the passing of a U.N. General Assembly resolution on protecting the Palestinian people which was adopted Wednesday with a majority of votes.
"The nature of this resolution clearly demonstrates that politics is driving the day". She elaborated that with "more countries voting on the right side than the wrong side", it showed that "those countries recognized that peace will only be achieved when realities are recognized, including Israel's legitimate security interests, and the need to end Hamas' terrorism". The assembly voted on the amendment, accepting it by a vote of 62 in favor, 58 opposed and 42 abstentions, but the General Assembly president refused to add the amendment to the resolution arguing that it required the approval of a two-thirds majority.
He claimed that by supporting the resolution "you [ambassadors of member states] are empowering Hamas".
Israel and Hamas have fought three wars in Gaza and the United Nations has warned that a fourth conflict could be easily ignited.
"The U.N. Human Rights Council inquiry should identify and call for sanctions against officials implicated in ongoing serious human rights violations", Sarah Leah Whitson said.