Having graduated as an architect from the Technical University Budapest (BME), and as guitarist from the Jazz Faculty of the Béla Bartók Conservatory, he started to play in leading Hungarian jazz bands. He founded his own band, the group „Kaszakő” in 1975, which had a really original sound. Their first record was published under the title Édenkert (Garden of Eden) in 1983. He formed the group „Things” with sax player Tony Lakatos in 1985, which functioned for a period of seven years.
During his career he played with such world famous jazz musicians as Randy Brecker, Anthony Jackson, James Moody, Tommy Campbell, David Friedman, Gary Willis, Hiram Bullock, Billy Cobham, Miroslav Vitous, Peter Erskine, Bob Mintzer, IlaiyaRaaja, Jimmy Haslip, Russell Ferrante and Patti Austin. He has been teaching at the Jazz Department (formerly faculty) since 1987, and is currently the Associate Professor of the Ferenc Liszt Academy of Music, as well as the leader of its big band. The alumni of the orchestra led by him have founded two professional big bands since, the Budapest Jazz Orchestra and the Modern Art Orchestra.
He founded the Attila László Band in 1992, playing in a style similar to contemporary jazz, which stayed together for 15 years.
The Attila László Band played on a tour of the United States in 2004, consisting of eight concerts in various cities. In New York they have played a special concert where the UN representatives of over 40 countries listened to their music.