 Anonzi Bomber der Nation Bomber yenyika kana kuti Der Bomber, Müller akatumidzwa kuti European Footballer of the Year muna 1970. Mushure memwaka wakabudirira kuBayern Munich, akarova zvibodzwa gumi pa1970 FIFA World Cup yeWest Germany kwaakagamuchira iyo Golden Boot semutambi wepamusoro zvibodzwa. Muna 1972, akakunda UEFA European Championship uye ndiye akanga ari mugadzi mukuru, achiwana zvibodzwa zviviri mumutambo wokupedzisira. Makore maviri gare gare, akarova zvibodzwa zvina mu 1974 World Cup, kusanganisira chibodzwa chakakunda mufainari. 