The shooting occurred in the city center, police said, adding that it is not believed to be terror-related.
A shooting at an internet cafe in the southern Swedish city of Malmo has claimed the lives of three men.
Tabloid Aftonbladet quoted witnesses saying they heard what sounded like 15 to 20 shots.
Swedish police said the motive for the attack is not yet known.
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The fatal shooting of three men in Malmo, Sweden's third largest city, was the latest incident in suburban feuds between criminal gangs fighting over territory or honour.
Police said they had no suspects in Monday's shooting and called for any witnesses to come forward. Investigators suggest that automatic weapons were used, and are searching for a dark vehicle that was seen leaving the scene at high speed, Aftonbladet reports.
Police said security at a hospital was stepped up after the gunfire was reported.
There were no immediate details on the conditions of the injured men. Police are in place and have secured the suspected crime scene.