They are believed to hold vital information about crimes including murder and rape.
One of the men went to ground three years ago following a fatal stabbing in Sheffield.
Another is wanted over a string of high value romance frauds.
One man is wanted over the rape of child in Sheffield when the youngster was 15 years old.
Another of the men believed to be evading arrest is a registered sex offender.
Anyone with information on their whereabouts should call South Yorkshire Police on 101 or Crimestoppers on 0800 55511.
Another is wanted over a string of high value romance frauds.