The officials, who are loyal to anti-government Shiite rebels known as the Houthis, said some 30 more people are believed to be still trapped under the debris of the badly damaged building in central Sanaa. Police vehicles parked in the facility's courtyard were destroyed and nearby homes suffered some damage, they said.
The dead and wounded were policemen and Houthi rebels, they said.
Security forces sealed off the area as earth-moving equipment arrived to help with the search for bodies and survivors under the debris.
The airstrike happened shortly before midnight on Sunday, according to the officials, who had no further details.
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Reporters were barred from approaching the facility, they said, speaking today on condition of anonymity because they were not authorized to speak to the media.
The Saudi-led coalition began airstrikes against the Houthis and their allies in March 2015, siding with the internationally recognized government.
Meanwhile, the Integrated Regional Information Networks (IRIN), a Nairobi-based humanitarian news agency, has announced the death of one of its contributors in Yemen. In a statement, it said 35-year-old Almigdad Mohammed Ali Mojalli was killed yesterday just outside Sanaa in an "apparent" airstrike.
The fighting in Yemen has, since last March, killed more than 5,800 people.