It occurred at around 8pm on Friday 26 July 2013, at the Co-op Store, Grantley Drive.
A man entered the shop before picking up two bottles of Smirnoff Vodka and leaving the premises without paying for them.
The suspect is described as a white man, around 5ft 9in tall, with a medium build and short dark brown hair.
PC Mark Weir, of Harrogate Safer Neighbourhood Team, said:
If you recognise the man caught on camera, I ask that you come forward and contact the police straight away.
It may be that the man in the image is not responsible for the theft. If this is the case, I urge him to contact the police straight away so that he can be eliminated from our enquiries.
Anyone who can help to progress this investigation should call Harrogate police on 101, select option 2 and ask for Mark Weir. Alternatively information can be emailed to firstname.lastname@example.org
Or call Crimestoppers anonymously on 0800 555 111 quoting reference number 12130126101.