Meanwhile, the Saudi-led coalition warplanes have since launched over 30 airstrikes on positions of Houthis inside and outside Sanaa, with no reports of casualties. The killing of Yemen's ex-President Ali Abdullah Saleh by the country's Shiite rebels on Monday, as their alliance crumbled, has thrown the almost three-year civil war into unpredictable new chaos.
Saleh, who had made common cause with the Houthis after they captured the capital Sanaa in 2014, switched sides in an announcement last week that plunged the country deeper into turmoil.
"The United Nations stands ready to facilitate a negotiated political settlement that is inclusive, fair and sustainable", he said.
He also said the Humanitarian Coordinator for Yemen, Jamie McGoldrick, has called on parties to the conflict "to urgently enable a humanitarian pause (Tuesday), enable civilians to leave homes and seek assistance and protection and to facilitate the movement of aid workers to ensure the continuance of life-saving programs".
"We also have taken note of the reported killing earlier today of former President Ali Abdullah Saleh as well as several of his associates", he said.
Only two ships - one commercial and one carrying humanitarian supplies - arrived after the Saudi-led coalition said it was lifting the blockade, he said.
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He said over 22 million Yemenis need humanitarian assistance and over 8 million are on the brink of starvation.
The U.S. and United Kingdom -backed Saudi-led coalition has stepped up air strikes on Yemen since Saleh's death as Houthi forces have tightened their grip on the capital.
Heavy clashes erupted last week between the Houthis and Saleh's forces, and Saleh was killed by Houthis on Monday for what they called "treason".
The Houthis crushed a pro-Saleh uprising in the capital and shot him dead in an attack on his convoy on December 4. He later allied with the Houthi rebels hoping to exploit their strength to return to power.
Houthi forces control Sanaa and much of the rest of the impoverished country, where three years of war has killed more than 10,000 people and brought it to the verge of starvation.
Saleh's party said many of its members had been detained and some executed by the rebels, but there was no immediate independent confirmation.