Around 50 youths were involved in the riots in the suburb of Husby, police spokesman Lars Bystrom said.
The youths set light to a parking garage, compelling police to evacuate residents from an adjacent apartment block, Bystrom said. Residents were allowed to return home after a couple of hours.
Around 80 per cent of the roughly 11,000 people living in Husby -- a drab apartment block neighbourhood west of Stockholm -- are first or second generation immigrants.
One policeman was attacked by youths kicking him and two others were injured by rocks, local police officer Jorgen Karlsson said. He added around 10 cars were set ablaze, and windows were smashed at two schools and several local businesses.
Karlsson said the dead man was "European," but couldn't specify his nationality.
Residents said they had gathered to protest against the shooting death and that police responded by sending in SWAT teams that cordoned off the area.
"I understand that people react like this," said Rami Al-Khamisi from the organisation Megafonen, which represents citizens in Stockholm's suburbs.
Police have launched an internal probe to investigate the shooting death on May 13 of a 69-year-old man in Husby. They say they shot the man in self-defence because he had attacked police with a knife when they broke down the door to an apartment, where he had locked himself up with a woman.
However, Megafonen has criticised police for initially releasing a faulty report saying the man was taken to a hospital. The group said residents had seen his dead body being transported from the scene hours after the shooting in a hearse, which police later admitted was correct.