Police are offering a reward of £1000 in a bid to find Simon Peter Knights.
They want to interview him about four burglaries and one attempted burglary at addresses in Barnham, West Sussex during the day on Monday June 16, and a burglary during the day in Park Road, Burgess Hill, on Thursday June 19.
Two addresses in Downview Road, one in Elm Grove and one in Barnham Road, Barnham, were broken into and jewellery was taken. An unsuccessful attempt was made to enter another Barnham Road address.
In the Burgess Hill burglary several hundreds of pounds worth of jewellery was taken.
Mr Knights, 38, is white, about 5'8", and has ginger hair and blue eyes.
Officers are also making enquiries in East Sussex and in the Southend and Basildon areas of south Essex, where he is known to have connections.
The reward is offered subject to arrest and conviction for one or more of the offences.
Detective Sergeant Darren Lilywhite, of the West Sussex Priority Crime Team, said; "If you know where Knights is please contact Sussex Police via 101 or email firstname.lastname@example.org quoting Serial 840 of 16/06.
"You can also contact the independent charity Crimestoppers anonymously on 0800555111."