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An Islamic State group militant carried out a series of stabbings at a mall in the US state of Minnesota that wounded eight people, a news agency linked to the extremists said on Sunday.

"The executor of the stabbing attacks in Minnesota yesterday (Saturday) was a soldier of the Islamic State who carried out the operation in response to calls to target citizens of countries belonging to the crusader coalition," Amaq news agency claimed.

IS has repeatedly called for lone-wolf attacks on countries in the US-led coalition targeting the militant group with airstrikes in Syria and Iraq.

France, Germany and Belgium have all witnessed IS-linked attacks.

US police said an off-duty officer shot dead a suspect who had stabbed and wounded eight people in a shopping mall in Minnesota on Saturday night.

He "made some references to Allah", said Blair Anderson, police chief in the city of St. Cloud, and "asked at least one person if they were Muslim before he assaulted them".

The motivation remained unclear, Anderson stressed to journalists.

"Whether that was a terrorist attack or not, I'm not willing to say that right now because we just don't know."

Anderson said the assailant at the Crossroads Center mall in St. Cloud, some 110 kilometres northwest of Minneapolis city, was wearing a private security uniform.

The suspect had a history of minor traffic violations, he said, adding that police did not currently have reason to believe the attack was connected to any other incident.