Tisppi Fleischer was born in Haifa on the 20th of May, 1946. Her parents, Jacob Fleischer of Krakow, Poland and Shoshana (nee Mehl) of the town Rimanov, Poland met and were married in Palestine.
Already at the young age of four, she played and improvised on the piano by ear, and by the age of seven she had started private piano lessons and began learning the accordion independently.
Fleischer continued to study piano and theory at the Rubin Conservatory in Haifa. She matriculated from the Hebrew Reali High School in Haifa with a focus on Eastern studies and then went on to continue her studies for a teacher's certificate in music at the Levinsky School of Education in Tel Aviv. Her academic degrees include B.As in Hebrew Language, Arabic Language and Literature and the History of the Middle East from the Tel Aviv University; a B.A. in Theory, Composition and Conducting from the Rubin Academy of Music in Jerusalem; an M.A. in Music Education from New York University; an M.A. in Semitic Linguistics from Tel Aviv University and a PhD in Musicology from Bar Ilan University. Among her teachers were the composers Gyorgy Kurtag, Noam Sherrif, Mendi Rodan, Yitzhak Sadai, Haim Alexander as well as the musicologists Jan LaRue and Leonard Ratner