The fire began shortly before noon at the museum in the 900 block of Exposition Park Boulevard, according to the Los Angeles Fire Department.
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About 40 firefighters arrived at the scene and knocked down the flames, with moderate interior smoke, in less than 30 minutes, the LAFD said in a statement.
The fire was "associated with an active roofing operation" at the museum, the news release said, adding that all occupants of the building were safely evacuated.
No injuries were reported.
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The cause of the incident is under investigation.