Formed in 1980, and remaining largely anonymous,[1] the group has had a number of members; presently it consists of co-founder Ben Ponton and Mark Warren.

Former members included Neil Ramshaw, Peter Jensen, Robin Storey (who now records as Rapoon), Lisa Hale, Paolo Di Paolo, Mark Spybey (who now records as Dead Voices on Air) and Andy Eardley.

In 2005 Storey, Spybey and Eardley formed a new group, Reformed Faction.

The packaging of their releases was often unconventional, involving materials such as hessian, tar paper and aluminium foil.

[2] Zoviet France also provided the music for the 2015 movie Savageland, a mockumentary that depicts the aftermath of a massacre on a US-Mexico border town that leaves every citizen dead except for an amateur photographer who is accused of committing it.