The affairs and property of the Academy are administered by a Council of 20, consisting of a President, four Vice-Presidents, a Treasurer, two Secretaries, and twelve other members. The Council, with a term of three years, is elected by the Fellows triennially.
Members of the Council for the period 2016 to 2018:
- Prof. Ramaswamy, R. (President)
- Prof. Chatterji, Dipankar (Previous President)
- Prof. Agrawal, Manindra (Vice-President)
- Dr Bajpai, Sunil
- Prof. Bhattacharya, Sudha
- Prof. Dhar, Deepak
- Dr Dikshit, Madhu
- Prof. Ganesh, K.N. (Vice-President)
- Prof. Grover, Arun K. (Vice-President)
- Prof. Jog, Chanda J.
- Prof. Kumar, Lalit
- Prof. Maitra, Uday (Secretary)
- Prof. Majumder, Partha P.
- Prof. Paranjape, K. H.
- Prof. Ramesh, R.
- Dr Ranade, V. V.
- Prof. Sarma, D. D.
- Prof. Sebastian, K. L. (Vice-President)
- Prof. Varadarajan, R. (Treasurer)
- Prof. Waghmare, Umesh V. (Secretary)