Houthis took over Wednesday Al Hasha District west the province of Al Dhalea days after they made mass advances in South Yemen.
Al Hasha District is a strategic area that links three provinces: Ibb, Taiz and Al Dhalea.
The officials say the Houthi rebels recaptured the district of Damt and the surrounding area from forces allied with the internationally recognized government after more than a week of fighting.
The officials spoke Saturday on condition of anonymity because they were not authorized to brief media.
They said the reason they lost large areas to Houthis is due to lack of ammunition and reinforcement, confirming that dozens have been killed and wounded in both sides.
According to rebel-run news agency Saba, the Houthis fired Friday a Badr F ballistic missile at fortifications of forces allied with the internationally recognized government in Al Dhalea province.
The province of Al Dhalea has 9 districts, with the rebels controlling 4 and the government keeps hold on the other 5 southern districts of the Governorate.
In Al Bayda, a province adjacent to Al Dalea, Houthis tightened control of Thee Naem district after days of fighting against government forces.
Following the fall of the district, Brigadier Ahmed al-Hmeikani, director general of the police in the province of Al Bayda, has resigned in protest against the Yemeni government, saying it turned its back on the forces that were fighting the militia.
Yemen has been embroiled in a war pitting the Iran-backed Houthis against the government of President Abed Rabbo Mansour Hadi, backed by a Saudi-led coalition since March 2015.
The war has devastated impoverished Yemen, turning its nation into the world’s worst humanitarian crisis.