There are many books about the Battle of Cable Street that have been written by participants, witnesses and scholars. Here is a selection:
Phil Piratin, Our Flag Stays Red, London: Thames, 1948
Joe Jacobs, Out of the Ghetto, London: J. Simon, 1978
Cable Street Group, Battle of Cable Street 1936, London: 1995
Henry Srebrnik, London Jews and British Communism 1935-45, London: Vallentine Mitchell, 1995
Thomas Linehan, East London for Mosley, London: Frank Cass, 1996
Remembering Cable Street (ed Tony Kushner & Nadia Valman): London 2000
David Rosenberg, Battle for the East End, Nottingham: Five Leaves, 2011
Other resources
There is an excellent film, From Cable Street to Brick Lane, made by Hazuan Hashim and Phil Maxwell in 2011.
David Rosenberg leads a guided walk of the Battle of Cable Street – including its back-story and aftermath, called Anti-Fascist Footprints.