Fierce clashes raged in the areas of Al-Zaher and Thi al-Naem in Baida province between Huthi rebels and Popular Resistance fighters allied with forces loyal to President Abedrabbo Mansour Hadi, tribal sources said.
The clashes overnight left 19 rebels and 14 Popular Resistance fighters dead, according to tribal and medical sources.
Gun battles also flared up in Al-Madaribah in southwestern Yemen on the border between Lahj and Taez provinces, leaving an unknown number of fighters killed and wounded, military sources said.
The narrow waterway, which separates Yemen from Djibouti, funnels shipping to and from the Suez Canal in the northern Red Sea.
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Witnesses said that many residents fled the area due to heavy fighting.
Warplanes from a Saudi-led coalition raided positions of Huthis and allied renegade troops loyal to ousted president Ali Abdullah Saleh, military officials said.
The air strikes destroyed rebel vehicles in the central Ibb province, close to Daleh, which was seized by pro-government forces along with four other southern provinces earlier this year.
Around 5,000 people have been killed in the conflict since March, more than half of them civilians, according to UN estimates.