The assailants burnt the library and security sections of the building.
Some gunmen have attacked the Federal High Court complex in Abakaliki, the Ebonyi State capital.
This occurred early on Tuesday.
The assailants burnt the library and security sections of the building, AIT reports.
No death was recorded but two of the three security guards on duty were said to have sustained minor injuries.
The South-East has been experiencing violent attacks by gunmen.
Last weekend, some gunmen attacked the country home of the Governor of Imo State, Hope Uzodinma, killing two security operatives.