Shocking vision of a random knife attack in Melbourne's CBD has prompted the state's opposition leader to back his federal counterpart's description of Victoria as the country's crime capital.

A 36-year-old West Melbourne woman was stabbed near the intersection of Little Bourke and Spencer streets about 7.40am on October 2.

She was taken to hospital with non-life threatening injuries.

Police arrested a 32-year-old woman and found a knife after searching the area.

The woman has been charged with intentionally causing injury and committing an indictable offence while on bail.

She faced court on October 3 and was remanded in custody.

Footage of the incident from CCTV cameras was obtained by media organisations and published on Thursday.

Premier Jacinta Allan described the incident as "

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