They say today's airstrikes will hinder the airport's operation but that repair crews are at work. It was unclear to what extent flights will now be reduced.
The US-backed coalition has been at war with the Shiite rebels, known as Houthis, since March 2015. The coalition closed all air, land and sea ports in Yemen last week in response to a rebel ballistic missile attack on Riyadh.
The coalition said yesterday it would reopen ports in areas held by allied forces. The Houthis control most of northern Yemen.