The fire, which started in the early hours of Tuesday, affected the library and security posts of the building.
No casualty recorded but it was understood that court records in the Library were completely destroyed.
A source told The Nation the attack was carried out by hoodlums using fire bombs.
However, fire fighters were later mobilised to the scene and helped put out the fire before it could cause further damage.
Spokesman of Ebonyi Police Command, Loveth Odah confirmed the incident.
She said the attackers came in their large numbers to carry out the attack on the court.
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