The individuals were arrested during the afternoon on Thursday, according to prosecutor Ulrika Åberg.
The starting point is that we are not saying anything about what kind of people these are, we want to keep it to ourselves for now, says Åberg to TT.
One of the individuals is suspected of murder and the other of aiding and abetting.
Åberg will take a stance over the weekend on whether there are grounds for requesting that the individuals be detained.
The two men were shot in connection with a parking lot just before midnight on Monday evening. A third man was shot at but not hit.
One of the police's theories is that the shooting is linked to the long-standing gang conflict in Biskopsgården.
We are of course looking at possible network connections, but also whether there may be other motives and individual conflicts behind. We must work methodically and look broadly, said the police's press spokesperson Christian Brattgård on Wednesday.