SANAA: Yemen's ex-president Ali Abdullah Saleh said the country's Huthi rebels feared a "coup" but that there were no longer any tensions with them, despite strains in the past fortnight.

"There is no crisis and conflict at the moment," the 75-year-old strongman said late Monday in an interview on Al-Yemen Al-Yom television, which his party controls.

On August 24, hundreds of thousands put on a show of force for Saleh at a rally marking the 35th anniversary of his Arab nationalist General People's Congress (GPC) party.

"There were fears and suspicions that the rally would be a coup" against the Iran-backed Huthis, and "this is what their leaders told us," said the former president.

Saleh said Huthi leaders told him there had been "an operation" against them and a GPC plot to "take control of state institutions."

In response, Saleh said he had sent two letters to Abdel Malek al-Huthi, head of the rebel group, to reassure him.

"I asked him not to believe the suspicions, and he reacted positively," he added.

Cracks emerged in the alliance between Saleh and Huthi after the two publicly accused each other of treason and back-stabbing.

In an unprecedented outbreak of violence between the allies on August 26, a colonel loyal to Saleh and two rebels were killed.

Saleh ruled Yemen with an iron fist for more than three decades before stepping down in 2012 after a bloody, year-long uprising.

But the strongman retained the loyalty of some of the best-equipped units in the military and later joined forces with the Huthis, after they overran the capital in 2014.

The ensuing civil war between the Saudi-backed government and the Huthi-Saleh alliance has killed thousands and brought the Arabian Peninsula country to the brink of famine.