Dozens of military personnel received injuries, including army chief of staff during the attack on the airbase in southern town of al-Anad.
In November, the rebels said they were halting drone and missile attacks, but tensions have risen recently over how to implement a UN-sponsored peace deal.
Abdul Malik Al-Houthi, leader of the Houthi group, announced the strategy of using ballistic missiles and drones in 2017. The group is at war with a Saudi-UAE-led coalition which began its military campaign in Yemen in March 2015, after the Houthis overran the capital, Sanaa, in 2014.
The Houthis claim to possess five different drone models according to an infographic on their official Telegram channel.
The attack on the airbase in southern town of al-Anad on Thursday reportedly wounded dozens of military personnel, including the Yemeni army chief of staff.