The force said the closures followed a wider three-week operation to counteract money laundering and organised crime and 36 businesses were visited.
The shops served closure orders were:
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Euro Shop, in Lincoln Road, Millfield – partial closure between 9 December and 8 March, prohibiting it from selling tobacco products and cigarettes during this period
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Gaffy Food Store, in Newark Avenue, Dogsthorpe, Peterborough – full closure between 3 December and 14 January
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Hana Express in Burghley Road, Peterborough city centre – partial closure between 3 December and 3 March, prohibiting it from selling vapes, cigarettes, and alcohol during this period
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International Food Centre, in Lincoln Road, Peterborough city centre – full closure between 18 December and 22 January
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International, in Fitzwilliam Street, Peterborough city centre – full closure between 11 December and 15 January
Det Insp Shish Thind said: “I hope this shows the community that we are working to combat money laundering and its associated organised criminality.
“During the periods of these orders, we will monitor them closely to ensure all conditions are being adhered to, and any breaches will be dealt with robustly.”
The force said a further three firms were issued with community protection warnings.
Any further breaches would result in additional action against them, it added.