On Cop, Swans took the style of their previous LP, 1983's Filth, and intensified it, utilising slower tempos, more tape loops and even more abrasive musical textures. The lyrics are again concerned with ambiguous themes like physical, often sexual domination and/or submission.
Cop was remastered by Michael Gira in 1992 for release on CD along with the Young GodEP. The currently available edition combines Cop and Young God with the albums Greed and Holy Money. The packaging for all issues states that the recording is "designed to be played at maximum volume".