Jack Leigh Murray who is 27 from Shawford Close, Southampton, is alleged to have carried out a series of violent burglaries between November, 2012, and January, 2013.
Detective Constable Janine Bradley said: “This man knows we want to talk to him, but so far he has managed to avoid all attempts to locate him."
He is white, 5ft 11ins tall and of slight build. He has straight blonde cropped hair and brown eyes.
“Someone must know where he can be located, and we would urge them to assist the police in finding this man,” DC Bradley said.
Anyone with information is asked to contact DC Bradley or Operation Starling at Bitterne CID on 101 or the anonymous Crimestoppers charity line on 0800 555 111.