Four teenagers have been arrested after a suspected stolen car hit a pedestrian in the heart of a major city.

A white BMW was seen being driven erratically on the Eastern Freeway at Doncaster in Melbourne's east early on Monday afternoon.

Police followed it into the CBD, where the SUV struck a woman on Exhibition Street.

She suffered non life-threatening injuries and was taken to hospital for observation.

The car was dumped on Bourke Street Mall, with the occupants fleeing on foot before being arrested outside a shopping centre on Lonsdale Street.

Two 17-year-olds, a 15-year-old and a 16-year-old from the areas of Bendigo and Yarra Ranges are being interviewed.

Premier Jacinta Allan praised police for quickly arresting the teens.

"My thoughts are with the pedestrian who was injured

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