Police were alerted to the scene at 00.32 at night and could then establish that someone had shot at an apartment in an apartment building.
No one was injured, and it is still unknown if anyone was in the apartment during the shooting, the police state on their website.
The place is now cordoned off while waiting for forensic technicians and the police to interrogate witnesses at the scene and check vehicles and people who have been near the crime scene.
It is the fourth shooting in a short time in the city.
The night before Thursday, a suspected shooting occurred and the night before Friday, it was time again.
One week ago, a man in his 20s was shot dead in central Kalmar.