This　paper　investigates　the　H∞　stability　and　consensus　of　discrete-time　nonlinear　complex　dynamical　network　systems　based　on　T-S　fuzzy　model.　The　nonlinear　complex　dynamical　network　system　consists　of　N　discrete-time　T-S　fuzzy　subsystems.　Parallel　distributed　compensation　algorithm　and　Lyapunov　method　are　applied　to　design　an　H∞　decentralized　fuzzy　controller.　By　considering　the　characteristic　of　interconnection　matrix　of　the　network,　the　test　of　the　stability　of　a　network　is　separated　in　to　the　test　of　the　stability　of　the　several　nonlinear　systems.　Furthermore,　the　consensus　problem　for　the　leader-follower　complex　dynamical　network　is　considered.　And　the　proposed　criterion　can　be　obtained　by　solving　a　set　of　linear　matrix　inequalities(LMIs)　which　are　numerically　feasible.　The　effectiveness　of　the　proposed　methods　is　demonstrated　through　numerical　examples.　©　2014　TCCT,　CAA.