The former car showroom which now com,prises 17 retail units produces an annual rent of £82,800.
Retailers include homeward brand Padraigin, vintage clothing store Honey Bunny Pie and Aroma Cafe.
John Mehtab of Acuitus said: "The sale of St Cuthbert's Arcade offers the opportunity to own a multi-let retail property producing good income. Situated off Bedford's busy shopping area, it benefits from a unique offer in a strong location."
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The auction takes place at The Montcalm Hotel, London on February 12.