"We received very late amendments from a member-state, but we have to consider them," said Kuwait's Ambassador Mansour al-Otaibi, who presented the draft resolution. He specified that the amendments were from the United States.
The vote had initially been scheduled for 6:00 pm . Kuwait represents Arab countries within the security council.
Diplomats expected the measure to be vetoed by the United States had it gone to a vote.
Kuwait presented the draft resolution two weeks ago, initially calling for an international protection mission for Palestinians as protests turned violent on the Israeli-Gaza border.
The final version urges "the consideration of measures to guarantee the safety and protection" of Palestinian civilians and requests that UN Secretary-General Antonio Guterres present a report on a possible "international protection mechanism."
At a Security Council meeting on Wednesday, U.S. Ambassador Nikki Haley claimed that Washington would oppose the proposals for Palestinian protection.
Diplomats have said the Palestinian Authority may turn to the UN General Assembly if the draft resolution on protection is vetoed by the United States.
At least 122 Palestinians have been killed by Israeli forces since the end of March.
