A Saudi-led coalition — which includes the United Arab Emirates and Qatar —intervened in Yemen's civil war in March to try to restore the government after it was toppled by Iran-allied Houthi forces. But a mounting civilian death toll and dire humanitarian situation has alarmed human rights groups.
Western nations have been quietly increasing pressure on Saudi Arabia to seek a political deal to end the conflict, U.N. diplomats have said. Diplomats said Tuesday's session was convened to shine a spotlight on the conflict and pressure all sides to seek a negotiated end to the bloodshed.
"I further call on the council to do everything within its power to help restrain the use of force by all parties and to urge all sides to abide by the basic principles of international humanitarian law," Hussein said.
Warring parties in Yemen agreed to a renewable seven-day cease-fire under U.N. auspices that started Dec. 15, but it has been repeatedly violated.
The U.N. says the conflict has killed nearly 6,000 people, almost half of them civilians. Hussein said more than 600 children had been killed and some 900 injured — a five-fold increase compared to 2014.
A first round of peace talks adjourned on Sunday and the U.N.'s envoy to Yemen, Ismail Ould Cheikh Ahmed, said the two sides would meet again on Jan. 14.
Ahmed told the council there were still deep divisions and "trust between the parties remains weak."
The U.N. has designated Yemen as one of its highest-level humanitarian crises, alongside emergencies in South Sudan, Syria and Iraq. It says more than 21 million people in Yemen need help, or about 80 percent of the population.
"The potential ramifications of a failed state in Yemen would almost inevitably create safe havens for radical and confessional groups such as the so-called (Islamic State in Iraq and the Levant)," Zeid told the 15-member council.
"This, in turn, could expand the conflict beyond Yemen's borders, potentially shattering regional stability," he said.
Rights groups have criticized the United States, Britain and other Western countries for supplying arms to the Saudis that have been used in the war.