President Donald Trump on Wednesday called on Saudi Arabia to end its Yemen blockade immediately, citing humanitarian concerns.
Mr Trump said in a statement that he has directed U.S. officials to call Saudi Arabian leaders and request they "completely allow food, fuel, water and medicine to reach the Yemeni people". He says they "desperately need it".
Saleh was killed Monday by his former Houthi allies after moving to switch allegiances in the bloody conflict.
A Saudi-led military coalition has been fighting on behalf of a government based in the south against the Houthis, a Shiite movement backed by Iran that had teamed up with Mr Saleh and controlled much of the country including the capital. Photos and Videos of the brutal assassination went viral on social media, shortly after announcing his death by the rebel militia.
Armed militiamen unfurled a blanket containing the body and shouted, "praised God!".
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Clashes in the Yemeni capital have killed at least 234 people and wounded 400 since December 1, the International Committee of the Red Cross said on Tuesday. The coalition has been striking Houthi positions, hoping that Saleh's loyalists might allow forces loyal to President Abed Rabbo Mansour Hadi to return to the capital. The group doesn't look likely to recover.either, with reports his presumed successor, nephew Tariq Saleh, has also died.
Under global pressure, Saudi Arabia partially lifted the blockade, and the first aid shipments since the blockade arrived last week.
The coalition bombed Saleh's residence and other houses of his family members, Yemen's pro-Houthi al-Masirah television station said.
The United Nations said a food shortage caused by warring parties blocking supplies has created the world's worst humanitarian crisis. It will not be like the starvation which cost 250,000 people their lives in Somalia in 2011.