The thief struck at the BetFred shop in Acomb at 1.30pm on November 17.
He is believed to have entered the shop via Front Street and used distraction to steal money.
Also read: Man injured in one of two shooting incidents in HuddersfieldBungling knifeman drops stolen money during robbery at McDonald's in LeedsGang arrested in Leeds after drugs and mobile phones thrown over prison wall in WetherbyOfficers are asking members of the public to get in touch if they recognise the man in the images, as they believe he will have information that could help the investigation.
Anyone with any information is asked to contact North Yorkshire Police on 101, select option 2 and ask for PC 632 Chris Bolton, quoting reference number 12180215204.
Information can also be passed, anonymously, to Crimestoppers on 0800 555 111.