From 1961 to 1972 T. Leiburas studied piano at Vilnius M.K. Čiurlionis Secondary School and took composition lessons from R.Kašponis, V.Barkauskas and V.Bagdonas.
In 1978 he graduated in piano at the Lithuanian Academy of Music and Theatre (in the class of Prof. S.Vainiūnas).
In 1985 he graduated in composition at the Lithuanian Academy of Music and Theatre (in the class of Prof. E. Balsys, and upon his death, T. Leiburas finished his studies with Prof. V.Laurušas).
Pianist of the Lithuanian Radio and Television Light Music Orchestra from 1975 to 1983.
Music Art Director of the Association of Orchestras and Ensembles of Vilnius City from 1983 to 1986.
Conductor of the Lithuanian Radio and Television Light Music Orchestra from 1995 to 2006.
Since 1987 T. Leiburas has been a member of the Lithuanian Composers‘ Union.
T. Leiburas has composed music pieces for piano, instrumental ensembles and orchestras (concert for piano and symphony orchestra, concert for symphojazz orchestra). He composes music for theatre, radio, television and cinema.
As an artist he has given many concerts in Lithuania, Bulgaria, Greece, Finland, Turkey, Italy, France, Hungary, Germany, Congo, Canada, Poland, etc.