This book constitutes the refereed proceedings of the second International Workshop on the Theory and Applications of Formal Argumentation, TAFA 2013, held in Beijing, China, in August 2013. The Workshop was co-located with IJCAI 2013. The 15 revised full papers presented were carefully reviewed and selected from 22 submissions. The papers are organized in topical sections such as abstract argumentation frameworks, social abstract argumentation with votes on attacks, a normal form of argumentation frameworks, assumption-based argumentation, argument schemes for normative practical reasoning.