"Police received a call about wounded people at Ikea ... around 1:00 pm. A man and a woman with stab wounds were found at the scene, they later died of their injuries. Another person is seriously injured. One man has been arrested suspected of murder," a police statement said.
The wounded person is a man aged around 35 who immediately underwent surgery at a local hospital, Eva Lindahl, a spokeswoman for the regional health care authority, told AFP.
But local daily VLT, quoting the store manager, reported that the victims were "ordinary shoppers" and the attack took place in the store's kitchen accessories section.
Swedish television broadcast footage of the store which had been evacuated and was surrounded by police.