[2] Halivner joined Maccabi Tel Aviv at the age of 12 and four championships and two cups during the 1950s.
In 1957 Halivner moved to Maccabi Ramat Gan, where he served as coach as well as playing.
In 1958, at the age of 30, Halivner retired from active play and returned to Maccabi Tel Aviv, to serve as coach for the youth team.
However, poor results in the league and the new cup competition led Halivner to leave the post.
Halivner coached Shimshon Tel Aviv,[13] Beitar Jerusalem and Hapoel Jerusalem, but late retired from coaching altogether to concentrate on running his family's travel agency business.