Fighting raged in Jawf province north of Sanaa as rebels sought to seize routes to the capital where their supporters have staged weeks of escalating protests against the central government.
Tribal sources said fighting in the Ghayl and Majzar regions straddling Jawf and Marib, east of Sanaa, killed 12 people, raising the death toll from clashes since Thursday to 34.
Twenty soldiers and tribesmen and 14 rebels were killed, the sources said.
AFP was unable to verify the death toll with independent sources or to obtain rebel confirmation of their deaths.
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Analysts say the rebels, also known as Zaidis or Ansarullah, are trying to establish themselves as the dominant political force in the northern highlands, where Shiites are the majority community in the mainly Sunni Arabian Peninsula nation.
The Shiite Huthis held protests throughout much of August to push for the government's resignation.
They have rejected overtures from President Abdrabuh Mansur Hadi to name a new prime minister, replace the government and reduce a disputed fuel price hike.