The guilty verdict was handed down in Malmoe, southern Sweden, in July but the sentencing of the killer, Peter Mangs, is still pending and will be based on the psychiatric assessment.
The prosecution had said it would ask for a lifetime sentence if Mangs, 40, is declared sane, while the defense has called for his acquittal based on insanity.
According to the experts who conducted the psychiatric assessment, Mangs “did not commit these actions under the influence of any serious psychiatric disorder,” the Malmoe court said in a statement.
Mangs was found guilty of two of the three murders he was charged with.
Kooros Effatian, a 66 year-old Iranian immigrant, was killed in his own apartment in June 2003, while Trez West Persson, a 20-year-old Swede, was shot in a car as she sat next to a friend of Albanian birth.
Mangs was acquitted of the murder of Firas ash-Shariah, a 23-year-old Iraqi who was shot dead outside his home in July 2003.
Mangs was also found guilty of four of 12 attempted murders he was charged with, where people were targeted in their homes, workplaces, cars or in public places.
Until his arrest in November 2010, Mangs spread fear in Malmoe, Sweden’s third largest city, during a shooting spree that began in 2009 and targeted immigrants and people of foreign descent.