Their photographs have been released by the force in a help officers track the men down.
They are believed to hold vital information about a number of offences.
Anyone who knows where they are should call South Yorkshire Police on 101 or Crimestoppers on 0800 555111.
1. nsst-20-12-19-ahmed farrah-nmsy-upload.jpg
Ahmed Farrah is wanted for murder Photo: SYP
2. nsst-20-12-19-mo anwaar-nmsy-upload.jpg
Mohammed Awaar is wanted for conspiracy to supply Class A drugs, money laundering, possession of cannabis and possession of a firearm. Photo: SYP
3. nss-20-12-19-Keighran Michael Green-nmsy-upload.jpg
Keighran Michael Green is wanted in connection with reported criminal damage and threats to kill offences, believed to have been committed in Barnsley. Photo: SYP
4. NSST-20-12-19-JOHN ERIC WELLS-NMSY-UPLOAD.jpg
John Eric Wells is wanted over romance frauds Photo: SYP