Ziv was Dean of the Faculty of Electrical Engineering from 1974 to 1976 and Vice President for Academic Affairs from 1978 to 1982. Since 1987 Ziv has spent three sabbatical leaves at the Information Research Department of Bell Laboratories in Murray Hill, New Jersey, USA.
From 1955 to 1959, he was a Senior Research Engineer in the Scientific Department Israel Ministry of Defense, and was assigned to the research and development of communication systems. From 1961 to 1962, while studying for his doctorate at M.I.T., he joined the Applied Science Division of Melpar, Inc., Watertown, MA, where he was a Senior Research Engineer doing research in communication theory. In 1962 he returned to the Scientific Department, Israel Ministry of Defense, as Head of the Communications Division and was also an Adjunct of the Faculty of Electrical Engineering, Technion - Israel Institute of Technology. From 1968 to 1970 he was a Member of the Technical Staff of Bell Laboratories, Inc. Ziv was the Chairman of the Israeli Universities Planning and Grants Committee from 1985 to 1991 (The Planning and Grant Committee is the interface between the Government of Israel and the Universities; it prepares the budget, presents it to the government, and allocates it to the Universities; it is in charge of development and means and practices in the Universities). He has been a member of the Israel Academy of Sciences and Humanities since 1981 and served as its president between 1995 and 2004.