Chris Bran and Justin Chubb's sketch series, which is set on the fictional island of Jinsy, will feature celebrity cameos including David Tennant, Catherine Tate, Simon Callow and Jennifer Saunders.
Hill's character works on the island's Punishment Round-up, dishing out penalties ranging from "the suspension of dance vouchers" to "mild electrical punishments".
This Is Jinsy will air on Sky Atlantic in September.
> David Tennant, Catherine Tate join This Is Jinsy
> This Is Jinsy: First Look at Sky Atlantic's new comedy - Video
Watch a preview of This Is Jinsy below: