The fire broke out at a property that was once a College of the Sequoias campus on 13th Avenue, south of Highway 198.
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Hanford Fire officials say the building has been abandoned for years.
Crews have responded to at least three fires at this location, which previously housed a gym, racquetball courts and classrooms.
The roof collapsed, and damage from the previous fires made the building unsafe for firefighters to enter.
It appears no one is injured, officials say.
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Crews are working to protect a nearby building and a tent used by a church from the flames.
The fire is not impacting traffic in the area. Firefighters are expected to be on scene mopping up the flames for the next several hours.