During the two-month truce, the Saudi-led coalition will allow 18 vessels carrying fuel into the port of Hodeida, and two commercial flights a week from the Yemeni capital to Jordan.
The Houthi rebels said the peace initiative could be a lasting commitment if the Saudi-led coalition fighting in Yemen stopped air strikes and lifted port restrictions.
A new report by Greenpeace has cautioned that a possible oil spill from an abandoned vessel would prevent access to crucial ports and affect food aid supply to 8.4 million people.
Web monitor NetBlocks said connectivity collapsed after a series of deadly airstrikes severely limiting independent media and human rights monitoring efforts.
The government and Houthi rebel forces blamed each other for the Friday night bombing of the hall near Hudaida's airport.
UN humanitarian chief Mark Lowcock told the Security Council that aid agencies are only reaching 9 million people a month, down from more than 13 million at the beginning of the year.
The United Nations announced a deal on the two-stage pullback from Hudaida city and its ports in February, but the redeployment failed to materialise on the ground and the peace effort has since stalled.
Yemen's government and Houthi rebels agree on first phase of pullback of forces from Hudaida port city, a deal UN describes as "important progress."
Fierce clashes continue in flashpoint city, despite both Saudi Arabia-backed government and Houthi rebels expressing support for UN envoy Martin Griffiths' effort to gather at the negotiating table by year's end.
UN Secretary-General Antonio Guterres said in Paris that there is an international consensus including major regional players to end three-year-old conflict in Yemen.
Although Saudi Arabia had said they were committed to de-escalating hostilities with rebels, battles raged on near the strategic port city of Hudaida in Yemen, a crucial point for humanitarian aid to enter the country.
In addition, three more people were killed and six injured when strikes hit three vehicles in Al Hali District in Hudaida province, the UN's Office for the Coordination of Humanitarian Affairs said in a statement Thursday.
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