The theatre was founded by David Kincaid, Michael Bottle and Peter Rocca; Kincaid and Bottle took the leads roles in its first production, of the Chekhov pieces On the Harmful Effects of Tobacco and Swansong. It opened in 1992 and is a registered charity.
The Brockley Jack Theatre's programming is a mix of established works and new writing, produced by in-house company Southside Arts and by visiting theatre companies, plus comedy and music nights and regular work-in-progress "scratch" shows. It runs workshops to support new playwrights, hosts the Brockley Jack Film Club and produces an annual festival of new plays, Write Now, supported by Lewisham Council.
The theatre's artistic director is Kate Bannister. Mike Burnside was the initial artistic director and Rhys Thomas held the post from 1996 to 1999. The Brockley Jack Theatre's associate companies are OutFox and Bruce Farce; previous associate companies include The Faction Theatre Company.