The Greggs on Ilderton Road was broken into on Monday night (April 4).
The break-in is thought to have taken place at about 10pm, after the shop closed, so no employees would have been inside.
Police told the News: “Police are investigating a report of a burglary at a commercial property in Ilderton Road, SE16.
“The offence was reported to have occurred at around 22:00hrs on Monday, 4 April. Enquiries are ongoing to establish the circumstances.”
Greggs has been contacted for comment.