Police were called out to the scene at around 5.30am, after a witness heard gunshots and saw a person on the ground.
The man, aged around 40, was taken to hospital but died from his injuries.
"Police are right now looking for a perpetrator or perpetrators," police said in a statement, adding that they were investigating. "We will use police search dogs in our work and other investigative measures such as door knocking and interrogations are ongoing."
Late on Sunday, another man was injured in a shooting in Flemingsberg, south of Stockholm.
The state of his injuries was not immediately known and no arrests had been reported by the time of publication.
According to unconfirmed reports to the Aftonbladet tabloid, the man, aged around 60, was shot through the door after the shooter knocked on the door and said he had a food delivery.
He was, according to Aftonbladet, not believed to have been the intended victim, but a relative of his was the target of another recent shooting.
Police confirmed the shooting had happened "in connection to an apartment" when asked by the TT news agency.
It was not known on Monday morning whether the two incidents were connected.
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