It occurred at around 1.15pm on Friday 21 September 2012, when a number of items of clothing for men and children, valued at around £150, were taken from Fat Face.
The man is described as 6ft 2in tall with a slim build and the woman is around 5ft 4in tall with dark brown hair. Both of them spoke with north east accents.
PC Andrew Hanks, of Skipton Safer Neighbourhood Team, said:
If you recognises either of the people caught on camera please contact the police or Crimestoppers straight away.
I am also appealing to people themselves to come forward if there has been a misunderstanding so that they can be eliminated from my enquiries.
Anyone who can help with this enquiry is asked to contact Skipton police station on 101, select option 2 and ask for Andrew Hanks. Alternatively information can be emailed to email@example.com.
Or call Crimestoppers anonymously on 0800 555 111 quoting reference number 12120158326.