The U.N. Security Council called on all sides to de-escalate the upsurge in violence and re-engage with U.N. political efforts to achieve a cease-fire without preconditions. On Wednesday, several dozen women gathered in a main Sanaa square holding Saleh's portrait and demanding his body be handed over for burial, but they were forcibly dispersed by Houthi security forces, eyewitnesses said.
In 2011, Yemen fell into chaos after an uprising deposed Saleh.
Saleh's son Salah said on Facebook Tuesday that he won't receive condolences for his father's death until "after avenging the blood" of the former leader. He was killed by the rebels on Monday, leaving his followers in disarray.
"All means should be tackled for the Yemeni people to get rid of this black nightmare", he said.
A statement from Saleh's party called for its loyal armed tribes and supporters to fight against Houthis. The coalition threw its support behind Saleh when he turned on the rebels, and may now back his son.
"We condemn the violent actions towards journalists by the Houthis, which constitute serious violations of the Geneva Conventions", said Alexandra El Khazen, the head of RSF's Middle East desk. But that alliance unravelled over the past week as the former leader reached out to the Saudi-led coalition that has waged an air campaign against the Houthis since March 2015. The UN secretary-general's special envoy for Yemen, Ismail Ould Cheikh Ahmed, called on all parties to show restraint. Much is likely to depend on the future allegiances of Saleh loyalists who previously helped the Houthi group, which hails from the Zaidi branch of Shi'ite Islam that ruled a thousand-year kingdom in northern Yemen until 1962. He later allied with the Houthi rebels hoping to exploit their strength to return to power.
Yemen's civil war has killed more than 10,000 people since 2015, displaced more than two million people, caused a cholera outbreak infecting nearly one million people and put the country on the brink of starvation.
Houthi officials said their fighters killed Saleh as he tried to flee the capital for his nearby hometown of Sanhan.
RSF said the Houthis broadcast their own content, including a speech by leader Abdulmalik al-Houthi, before the channel went off air.
There was fierce fighting between Saleh's forces and the Houthis in the city on Saturday night and Sunday.
Saleh and the Houthis used to be allies in the struggle against the government headed by President Abd-Rabbu Hadi.
Saleh had joined forces with the Houthis in 2014 when they took control of large parts of the country, including the capital.
But over the past year, the Houthis appear to have undermined Saleh, wooing away some of his commanders.
At least 234 people have been killed and 400 wounded in five days of heavy fighting in the Yemen capital, according to the International Committee of the Red Cross.
Jamie McGoldrick, of United Nations aid agency OCHA, said civilians in Sanaa are "emerging from their houses after five days being locked down, basically prisoners", to seek safety, medical care, fresh water and other survival needs.