Stephen Merchant, who is co-producing the project under his banner Four Eyes with Big Talk Productions, also stars in the series.
''The Offenders'' centres on a group of strangers completing their community payback sentence in Bristol, England.
According to Deadline, Bang will play Dean, a mysterious and terrifying London gang boss, who is chasing a debt owed by the offenders.
The show also features Christopher Walken, Rhianne Barreto, Gamba Cole, Darren Boyd, Clare Perkins, Eleanor Tomlinson, Richard E Grant, Dolly Wells, and Julia Davis.
''The Offenders'' has already secured a two-season order from the BBC and Amazon Studios. Amazon will stream the series in the US, Canada, Australia, and New Zealand.
Production on the series is underway in Bristol.