It was on Sunday morning that the men, who are both sentenced to several years in prison, escaped from the detention center in Borås where they were placed at the time. The detention center is located adjacent to the prison.
According to the Prison and Probation Service, the men climbed over several fences in connection with the staff handling two parallel alarms in the yard.
The men were still on the loose on Monday morning.
One of them, a man in his 25s, is according to the police from Gothenburg. On Sunday, the police chose to publish a picture of the man.
It was done after a comprehensive assessment, he is a person with documented dangerousness and many serious crimes he has been involved in, says Jens Andersson.
According to Göteborgs-Posten, it is about a leading figure in one of the criminal networks in Gothenburg. The man was previously sentenced this year to 17 years and 10 months in prison.
The other man is according to the police in his 30s and sentenced to a several-year prison sentence for arson.