Kammala jumla mai zuwa: Neuer ya fara kakar wasa ta hanyar rasa a 2013 DFL-Supercup zuwa Borussia Dortmund. Don da
2013 UEFA Super Cup, a ranar 30 ga watan Agusta 2013, ya ceci hukuncin karshe da yanke hukunci wanda ya ga Bayern Munich ta lashe wasan da Chelsea, tana daukar fansa don rashin nasarar gasar cin kofin zakarun Turai ta 2012. A gasar cin kofin kwallon kafa ta duniya, Neuer ya buga da Guangzhou Evergrande a wasan kusa da na karshe da Raja Casablanca a wasan karshe. An sanar da Neuer a matsayin 2013 Goalkeeper na Duniya na Shekara a ranar 7 ga Janairu 2014. A ranar 9 ga Fabrairu, Bayern ta fuskanci Arsenal a gasar cin kofin zakarun Turai kuma Neuer ya ceci hukuncin da Mesut Özil ya yi a farkon rabin. Bayern ta ci gaba da lashe wasan 2 <unk> 0. A ranar 2 ga Mayu 2014, Neuer ya tsawaita kwantiraginsa na yanzu har zuwa lokacin bazara na 2019. Neuer ya gama kakar wasa tare da wasanni 31 na Bundesliga, wasanni biyar na gasar cin kofin Jamus, wasanni 12 na gasar zakarun Turai, wasan Jamus na Super Cup, wasan UEFA Super Cup, wasanni biyu na gasar cin kofin duniya na FIFA don jimlar wasanni 52.