His involvement in academic administration began early with an appointment as chairman of the department of chemistry at BIU (1973–1976). As an active member of the University's Senate, he served on and chaired many committees. Between the years 1988 and 1990, he served as the dean of the faculty of sciences and mathematics and held several tenures as a member of the executive board of the Senate. 
Among his others administrative activities, Basch served as the academic head of the Holon Institute of Technology (1978-1981), was a member of the Council for Higher Education in Israel (1985–1991), served on scientific grants committees of the Israel Science Foundation, was a member of the scientific board of the Israel Inter-University Computation Center, was appointed to the National Council for Research and Development (Prime Minister's Office) and was a member of the computer grants committee of The Planning and Budgeting Committee (PBC). During the years 2005–2011, he served as the vice president for research at Bar-Ilan University.