The force is investigating a robbery that occurred in the early hours of Thursday, December 14, 2023, on Argyle Street near where it meets Queen Street.
They believe the pair in the images can help them.
Both are described as white and in their early 20s, and the man has brown hair and was wearing a black jacket.
The woman had long blonde hair and wore a black skirt, and black North Face jacket and carried a white handbag.
A spokesperson for Police Scotland said: “Anyone with information is asked to contact Greater Glasgow CID on 101, quoting reference number 0368 of Thursday, December 14, 2023.
“Alternatively Crimestoppers can be contacted on 0800 555 111, where anonymity can be maintained.”
