The 1959–60 season was Fussball Club Basel 1893's 66th season in their existence. It was their 14th consecutive season in the top flight of Swiss football since their promotion from the Nationalliga B the season 1945–46. They played their home games in the Landhof, in the Wettstein Quarter in Kleinbasel. Ernst Weber was the club's new chairman taking over from Jules Düblin after the AGM on 27 May 1959. Düblin presided the club during the period July 1946 until Mai 1959 and in the club's history he is the most permanent president that the club has had to date.