Kian Thorpe, 20, is wanted in connection with an incident in Edlington on Sunday (25 July), in which a man received death threats.
Police want to hear from anyone who has seen or spoken to Thorpe recently, or knows where he may be staying.
He is described as white, 5ft 6ins tall and of slim build, with short blonde hair and a beard.
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He is believed to have links to the Edlington area of Doncaster.
South Yorkshire Police spokesman said: “If you see Thorpe, please do not approach him, but instead call 999.
If you have any other information about where he might be, call 101 quoting incident number 1037 of 25 July. Alternatively, you can stay completely anonymous by contacting the independent charity Crimestoppers via their website Crimestoppers-uk.org or by calling their UK Contact Centre on 0800 555 111.