[1] It was established in 1964 in the former Czechoslovakia by musicians Martin Kratochvíl (keyboards) and Jiří Stivín (flute) but didn't gain recognition until the next decade.

In 1970, Jazz Q released the jazz-rock album Coniunctio, together with Radim Hladík's Blue Effect.

Stivín left the band the same year.

[2] Following this, the group took their music in the direction of electric jazz and art rock, with a new lineup that included Luboš Andršt on guitar, Vladimír Padrůněk on bass, and Michal Vrbovec on drums.

In 1973, Jazz Q was joined by English blues singer Joan Duggan.