Thieves, in the early hours of Thursday, broke in the Orderly Room of the Nima Divisional Police Command and stole a 32-inch flat-screen television and a computer monitor.
The Commander told journalists later that the incident occurred on the blind side of the officer who was guard duties at the charge office.
The office is a few meters away from the crime scene.
The Divisional Commander, ACP Abraham Acquaye, said investigations were underway to arrest the culprits.
The culprit is suspected to have entered through the window, using the area where an air conditioner was located.
The burglar tried to steal a rice cooker, but gave up when its lid dropped, the Commander said.