 From 1950 to 1955, König was Ordentlicher Professor at Munich.In 1953, he was made a full member in the Bayerischen Akademie der Wissenschaften.His doctoral students include Helmut Röhrl and Karl-Heinrich Weise, with whom he wrote in 1951 a book on geodesy and cartography "Mathematische Grundlagen der höheren Geodäsie und Kartographie".