The teenager died from his injuries after he was stabbed in the chest in an outdoor area at the Dale asylum centre.
Police said the incident took place after a conflict involving primarily Chechen residents at the centre.
The victim was pronounced dead by Stavanger university hospital at 11pm on Wednesday, just over an hour after police were alerted to the incident.
A number of witnesses have been questioned in connection with the attack.
Police were not able to say whether the victim was a resident at the Dale asylum centre. Initially police said he lived at another centre in the district.
“That hasn’t yet been fully ascertained,” said prosecutor Henrietta Kvinnsland.
“There were also other nationalities involved than Chechens. For the sake of the investigation and out of respect to the next of kin we are not going to publicize the victim’s nationality or identity. He is believed to have relatives in Norway,” she added.
The Dale asylum centre is home to some 300 asylum seekers. Located on the grounds of an old psychiatric hospital, the facility has served as an asylum centre since 1993.