The most recent incident took place in the Sandal area of the city last Friday, January 18.
Jewellery was taken from an upstairs bedroom of a property on Woodland Drive during the break-in, which happened in the evening.
The suspect is described as having glasses and is said to have been wearing a tracksuit top.
Police are probing links between the Woodland Drive incident and a burglary on St Pledwick Lane, also in Sandal, on November 22, 2017.
Wakefield District CID’s Det Insp Sam Freeman said: “We are issuing images of a man we want to speak with in connection with a burglary in the Sandal area earlier this month and would like to speak with anyone who can identify the man pictured.
“We are also linking the burglary with a non recent offence on St Pledwick Lane in 2017 and I would ask anyone who has any information about the offences to contact Wakefield District CID on 101 referencing crime number 13190033358.”