Lothian and Borders Police said the cast iron structures are now deemed "surplus to operational requirements".
There is no set price for the boxes, which are located around Edinburgh.
However, the police do not own the sites on which the boxes are located, so buyers will either have to move the two tonne structures or obtain all the relevant council documentation to keep them where they are.
Sara Griffiths, Lothian and Borders Police Property Manager, said: "When these boxes were introduced they would have proved invaluable to officers, but as technology and policing methods evolved a number of them have now become obsolete.
The money made from the sale will go to towards the Force Capital Investment Programme.
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