Co-chairman of the Israel Olympic Committee from 1964 to 1976, Inbar was a member of the Executive Committee of Hapoel for 44 years from 1938 to 1982 and its general secretary from 1962 to 1976.
He also served as chairman of Israel Basketball from 1982 to 1986 and chairman of the Israel Soccer Football Federation in 1961. Inbar was head of the State Lottery Board from 1964 to 1976, and from 1980 until his death, he was honorary treasurer of the Sportoto.

Inbar settled in Palestine in 1932.