Officers want to speak to Damian Chorley, 32 from Salisbury who wanted in relation to a number of theft offences, threats to kill, criminal damage, affray and possession of an offensive weapon (bladed item).
All offences occurred in the Salisbury area over the past two months.
He is described as white, of medium build and approximately 6ft tall. A photo of Chorley is attached.
Inspector Pete Sparrow said: "We ask that anyone who has information on the whereabouts of Damian Chorley comes forward and contacts police. Or if anyone sees him please call us immediately.
"Whilst there is no specific risk to the general community we advise that people call us if they see Chorley rather than approaching him themselves."
Anyone with information is asked to call Wiltshire Police on 999 if they see Damian Chorley or 101 if they have information relating to possible locations.