Situated between No. 40 and the corner of St Martin's Lane, which runs down from the High Street into the Cathedral Close, No. 39 presents another unprepossessing rendered facade fitted with modern sash windows, but once again the facade conceals a late-17th century timber-frame building, probably built at the same time as No. 40.
The only point of interest externally are the rusticated quoins, now heavily disguised by multiple coats of paint. It's unlikely that any features survive inside but the property was granted Grade II listed status in 1974. The modern shop front is an exceptionally poor addition.