The security sources said air strikes yesterday and today hit five towns controlled by the Huthis around 70 kilometres (45 miles) south of Hodeida.
Medical sources said 28 Huthis were killed and 17 wounded in the attacks.
Yemeni government forces retook Beihan district in Shabwa province from the Huthis, their last stronghold in the oil- rich southern province, a senior officer said today.
The capture of Beihan came during clashes that killed 14 rebels and nine pro-government troops, the officer said.
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The air strikes have intensified since the December 4 killing of ex-president Ali Abdullah Saleh at the hands of the Huthis after his alliance with the rebels collapsed.
At the same time, forces of the Saudi-backed Yemeni government have stepped up attacks on the rebels and last week retook the Red Sea town of Khokha from the Huthis.
The security sources said new clashes broke out today as government forces tried to push towards Hodeida.
The UN refugee agency UNHCR said it was "bracing for further displacement and a spike in humanitarian needs as hostilities intensify in frontline areas on Yemen's west coast".
"To date we have deployed emergency relief items for 2,000 families in Hodeida, and a further 2,000 aid kits are on their way along with 2,000 emergency shelter kits," the UNHCR said in a statement.
"As the port of Hodeida remains closed an additional 43 containers with emergency, shelter and household aid, including plastic tarpaulins and blankets for more than 20,000 families, had to be diverted to Aden," it added.