South Yorkshire Police said it was reported that on Saturday, September 9, at around 10am, a man was in the grounds of Burngreave Cemetery when he was seen outraging public decency by committing what the force described as a 'lewd act'.
The man is described as being around 5ft 9ins, with a stocky build and short brown hair.
Police released this image on Friday, September 22 and said they were keen to speak to the man shown in connection with their enquiries.
Anyone who recognises him or has information about the incident is asked to contact South Yorkshire Police online, via live chat or by calling 101, and quoting incident number 1169 of September 9.
You can also contact the independent charity Crimestoppers by calling 0800 555 111 or visiting: www.crimestoppers-uk.org.