The General Assembly is the supervisory body of ESPI. It is composed of representatives from the member organisations. It i.a. defines the general long-term guidelines for the Institute.
The General Assembly is chaired by Harald Posch (FFG/ALR). Representation as of March 2013:
| ARIANESPACE | represented by: | Alexandre Archier |
| ASI | represented by: | Augusto Cramarossa and Gabriella Arrigo |
| BHRS | represented by: | Eric Beka |
| CNES | represented by: | Gilles Ragain |
| DLR | represented by: | Jürgen Ortner |
| EADS-ASTRIUM | represented by: | Gilles Maquet |
| ESA | represented by: | Giuseppe Morsillo and Andrea Vena |
| EUMETSAT | represented by: | Paul Counet |
| EUTELSAT | represented by: | Jean-François Bureau |
| FFG/ALR | represented by: | Harald Posch |
| NSC | represented by: | Bo Andersen |
| ROSA | represented by: | Marius-Ioan Piso |
| SES | represented by: | Christine Leurquin |
| THALESALENIA SPACE | represented by: | Joël Chenet |
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The General Assembly at its 16th meeting of 20 October 2011 (from left): Harald Posch, Oana Neagu, Marius-Ioan Piso, Nathalie Armellin, Peter Hulsroj, Gilles Ragain, Nima Azarmgin, Gabriella Arrigo, Joel Chenet, Roswitha Grümann, Wolfgang Würz, Gilles Maquet, Andrea Vena, Herbert Allgeier and Lionel Poncelet
The Advisory Council gives the Secretariat medium-term orientations with respect to the research and network activities of the Institute.
The Advisory Council is chaired by Herbert Allgeier. The composition from 2011 to 2013 is:
| Herbert Allgeier | Former Director General, European Commission (Germany) |
| Frank Asbeck | Principal Adviser to European Commission, (Germany/Belgium) |
| Alvaro Azcárraga | Former Managing Director, Aerospace, Defence and Vehicles, SENER (Spain) |
| Frances Brown | Former Editor of the international academic/professional journal "Space Policy" (UK) |
| Alain Gaubert | Former Director, ASD Space, former Secretary General, Eurospace (France) |
| Leen Hordijk | Former Director, Institute for Environment and Sustainability, EC Joint Research Centre (Netherlands/Italy) |
| Peter Jankowitsch | Ambassador, former Chair UNCOPUOS (Austria) |
| Alfredo Roma | Consultant for the Aerospace Industry, Former President of the Italian CAA and ECAC and former Italian Coordinator of the Galileo Programme (Italy) |
The Advisory Council at its 16th meeting of 9 March 2012 (from left): Alan Cooper, Mr Kopp, Leen Hordijk, Blandina Baranes, Frank Asbeck, Herbert Allgeier, Alfredo Roma, Frances Brown, Peter Hulsroj, Alain Gaubert and Alvaro Azcarraga