A man and a woman entered the Boyes store in Queent Street on December 8 last year and took various items without paying.
North Yorkshire Police today released CCTV images of the pair, who they say they have been unable to identify and consider to be suspects.
A spokesman said: "Officers from Scarborough’s Neighbourhood Policing Team would like the assistance of anyone who is able to help and identify the two people in question."
Anyone with information is asked to email [email protected] or call 101, select option 2, and ask for Nicholas Patrick.
Information can also be passed on anonymously via the independent charity Crimestoppers on 0800 555 111.
Please quote the North Yorkshire Police reference number 12180228842.