A medical source in Mokha, held by Yemen's internationally recognised, Aden-based government, said three civilians and eight military personnel had been killed in the Houthi attacks.
A further 32 individuals were wounded, six of them civilians, the source added, explaining that all the civilian casualties had been a result of strikes on Mokha's port.
Two military sources with the government forces earlier confirmed that at least eight troops had been killed in the strikes and more than 40 personnel were injured.
The Houthis' military spokesman Yahya Saree said the group had targeted "Saudi enemy" troops and equipment in the area with missiles and drones.
A years-long truce in Yemen's civil war between the Houthis and the Saudi-backed, internationally recognised government appeared to collapse last month as fighting between regional allies of the United States and Iran flared.
