Hamish Sandison is seeking the Labour nomination, and seems to have the backing of a substantial amount of the Welsh Labour establishment.
Campaign reports that Chris Wright, a retired Patrol Sergeant from Gwent, is also running, but does not name a party preference for him.
Former Labour Minister and now Plaid Cymru Councillor Ron Davies is also mentioned as interested in the job.
Gwent Police Authority have a Police and Crime Commissioner section to their website, with information for candidates.