Micah Thompson, aged 31, is wanted in connection with an assault in Derbyshire and a further incident of threatening behaviour in Hackenthorpe on Wednesday, April 3.
In a statement, South Yorkshire Police said: “He is described as being of an average to large build with curly cropped hair.
“He is believed to frequent the Westfield, Halfway, Gleadless and Woodthorpe areas of the city.
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“Have you seen him? If you know where he is, please do not approach him and call 101 quoting incident number 911 of 3 April.
“You can also call Crimestoppers anonymously on 0800 555 111.”