 Topsøe became an honorary doctor in 1968 at Aarhus University, in 1969 at the Technical University of Denmark and in 1986 at Chalmers University of Technology in Gothenburg, Sweden.In 1985, he received the Royal Danish Academy of Sciences and Letters' gold medal and in 1991 a Hoover Medal.Topsøe was also member of several organizations, among them the Royal Swedish Academy of Engineering Sciences and since 1951 Akademiet for de Tekniske Videnskaber.