However, Saudi Arabia demanded more rigorous checks at the Red Sea port of Hodeida, which is being controlled by the rebels.
Al-Mouallimi said the Saudi-led coalition wants tougher inspections at the port of Hodeida, which is controlled by Houthi Shiite rebels, because current United Nations -monitored inspections only check large ships, and "in the case of small and medium-size ships there is hardly any inspection that takes place in the port or anywhere else".
Saudi Arabia's United Nations ambassador is denying that there has been an embargo on Yemen, saying "a temporary procedure" was taken for a few days to ensure the safety and security of Yemenis and Saudis and supplies were available. The Saudi strikes underscore their increased willingness to use aid restriction as a weapon of war, just the latest in a litany of war crimes they've committed since the 2015 invasion.
Since Saudi Arabia has closed the Hodeideh Port in western Yemen, civilians have been at a high risk of starving to death or dying from an illness due to the lack of medicine.
The Saudi-led military coalition fighting Yemen's Houthi rebels last week announced it had closed all air, land and seaports in Yemen to stem what it said was the flow of arms to the Houthis from Iran.
Abdallah Al-Mouallimi said the reopening of the ports was for the "safe transfer of humanitarian actors and humanitarian and commercial shipments" into Yemen.
The Saudi-led coalition hopes that will prevent "the smuggling of weapons, ammunitions, missile parts and cash that are regularly being supplied by Iran and Iranian accomplices to the Houthi rebels", the statement said.
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Millions of lives were at risk because of the blockade, United Nations humanitarian coordinator for Yemen, Jamie McGoldrick, said to reporters in Geneva by telephone from Amman. he said.
Houthi rebels in Yemen have launched fresh accusations on the Saudi-led military coalition over the bombing of Sanaa Airport which is Yemen's main global airport.
The United Nations has warned a total blockade could cause starvation in Yemen, where war has killed at least 10,000 people in the last two and a half years.
He also said that the more the blockade tightens, the more the Houthis will develop their abilities to "respond to the assault of the enemy".
Saudi Arabia's ambassador to the UN Abdallah al-Mouallimi told reporters in NY on Monday that ports in government-controlled areas such as Aden, Mukalla and Mocha will be reopened.
Initially, the ports Aden, Mocha, and Makulla will be opened as they are in areas under Yemen's internationally recognized government.