The Public Relations Officer of the GNFS, Mr Billy Anaglate, said the fire had been brought under control.
He said the fire had affected a small portion of one office and a kitchenette.
He said the GNFS would conduct an investigation to establish the cause of the fire.
Leadership
The Majority Leader in Parliament, Mr Osei Kyei-Mensah-Bonsu, told journalists that all the floors had fire extinguishers and fire alarms.
He said normally the alarm should have given an alert on the fire but wondered why it failed to do so this time around.
He expressed joy that no life had been lost or injury sustained.
However, he said, valuable property had been destroyed in the fire.