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Witnesses told public broadcaster SVT the ride at Grona Lund park had partly derailed.
Police confirmed several people had been injured.
"We are emptying the park and we've started our investigation," a police spokesperson said.
A statement on the park's website said:: "A serious accident has taken place on the Jetline. We are working with the rescue services. The park is closed for now."
Cornelia, who had just been on the ride with her son, told Sweden's TV4 that people started running: "There was a lot of screaming. No one knew what was going on."
The Jetline reaches speeds of 56mph (90kmh) and 30m (98ft) and carries more than a million people per year.