From 1973 until 1975, Tsugba was 1st secretary of the Abkhazian regional committee of the Komsomol, from 1975 until 1978 he was 1st secretary of the Ochamchira raikom of the CPSU, and from 1978 to 1989 Deputy Chairman of the Council of Ministers and a deputy of the Supreme Council of the Abkhazian ASSR.