Former Yemeni president Ali Abdullah Saleh has paid his life for supporting an Arab positions and standing up against the Iran-styled state in Yemen, analysts said.
The Saudi-led coalition battling the rebels had thrown its support behind Saleh just hours before his death, as the longtime strongman's alliance with the rebels unraveled.
Air raids also struck northern provinces including Taiz, Haja, Midi and Saada, the rebel-owned channel said, although there was no immediate word on casualties.
A Saudi-led coalition has been fighting to defeat the Iran-backed Houthis - at one point allied with ex-President Ali Abdullah Saleh's forces in Yemen - since March 2015.
It was not immediately clear if the rebels would allow Saleh's family to hold a funeral later in the day.
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There was no independent confirmation, but pictures circulated on social media appeared to show Mr Saleh's body.
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Saleh was forced to step down in 2012 after his forces waged a bloody crackdown on peaceful Arab Spring-inspired protests calling for his ouster.
Saleh was killed on Monday after he tried to break off the alliance with the Houthis and negotiate with the Saudi coalition.
He said the fate of Abull Aziz Bin Habtoor, senior GPC member and prime minister of the Saleh-Houthi alliance's self-declared government, was unknown but that reports suggested the rebels had arrested him.
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Saleh's former Houthi Shiite allies claim he was killed for "treason" for reportedly seeking to switch alliance to the Saudi-led coalition that has been fighting the Houthis for almost three years.
Without mentioning Saleh by name, he said that he knew about Saleh's communication with the coalition and his efforts to turn against the Houthis.
The proxy war between regional arch-rivals Saudi Arabia and Iran has already killed more than 10,000 people, with more than 2 million displaced.
The bloody conflict has left impoverished Yemen as the world's leading humanitarian disasters with millions of people facing starvation.
Houthi officials said their fighters killed Saleh as he tried to flee the capital for his nearby hometown of Sanhan.
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Saleh's slaying likely gives the rebels the upper hand in the dayslong fighting for the country's capital, Sanaa.
From the Saudi capital, Riyadh, where he has been in self-imposed exile for most of the war, Hadi tried on Monday to rally Saleh's allies to keep up the fight against the Houthis.
Global aid groups warned today they were losing the ability to reach civilians in Sanaa.
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