In 1945 Geiger was a member of the Constituent Assembly of Bavaria, and from 1950 to 1953 he was also a member of the state parliament there.
Geiger was a member of the German Bundestag from 1953 to 1961. He represented the constituency of Tirschenreuth in parliament. From 1953 to 1957, Geiger was deputy chairman of the committee pursuant to Article 15 of the Basic Law, from 23 March 1956 to 10 January 1957 chairman of the Bundestag Committee on Atomic Questions, and from 1957 to 1961 deputy chairman of the Committee on Nuclear Energy and Water Management.
From 27 February 1958 to 29 November 1961, Geiger was also a member of the European Parliament.
Herbst, Ludolf; Jahn, Bruno (2002). Vierhaus, Rudolf (ed.). Biographisches Handbuch der Mitglieder des Deutschen Bundestages. 1949–2002 [Biographical Handbook of the Members of the German Bundestag. 1949–2002] (in German). München: De Gruyter - De Gruyter Saur. p. 1715. ISBN978-3-11-184511-1.
Berg (from 27 June 1955, from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Blank (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Blücher (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Euler (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Fassbender (from 18 November 1955 DP, from 14 March 1957 DP/FVP)
Hübner (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Manteuffel (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Neumayer (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Preiß (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Preusker (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Schäfer (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Schneider (from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Bender (from 12 July 1955 Non-attached, from 14 July 1955 Group Kraft/Oberländer, from 15 July 1955 Guest of CDU/CSU-Fraktion, from 20 March 1956 CDU/CSU)
Eckhardt (from 12 July 1955 Non-attached, from 14 July 1955 Group Kraft/Oberländer, from 15 July 1955 Guest of CDU/CSU-Fraktion, from 20 March 1956 CDU/CSU)
Finck (from 12 July 1955 Non-attached, from 14 July 1955 Group Kraft/Oberländer, from 15 July 1955 Guest of CDU/CSU-Fraktion, from 20 March 1956 CDU/CSU)
Haasler (from 12 July 1955 Non-attached, from 14 July 1955 Group Kraft/Oberländer, from 15 July 1955 Guest of CDU/CSU-Fraktion, from 20 March 1956 CDU/CSU)
Körner (from 12 July 1955 Non-attached, from 14 July 1955 FDP, from 23 February 1956 Non-attached, from 15 March 1956 Demokratische Arbeitsgemeinschaft (DA), from 26 June 1956 FVP, from 14 March 1957 DP/FVP)
Kraft (from 12 July 1955 Non-attached, from 14 July 1955 Group Kraft/Oberländer, from 15 July 1955 Guest of CDU/CSU-Fraktion, from 20 March 1956 CDU/CSU)
Oberländer (from 12 July 1955 Non-attached, from 14 July 1955 Group Kraft/Oberländer, from 15 July 1955 Guest of CDU/CSU-Fraktion, from 20 March 1956 CDU/CSU)
Samwer (from 15 October 1953, from 12 July 1955 Non-attached, from 14 July 1955 Group Kraft/Oberländer, from 15 July 1955 Guest of CDU/CSU-Fraktion, from 20 March 1956 CDU/CSU)