Balázs Máté studied in his native city of Budapest and from 1986-92 was a member of the Hungarian National Philharmonic Orchestra. He undertook post-graduate studies in The Hague with Jaap ter Linden, and with Nikolaus Harnoncourt at Mozarteum Salzburg.
He is a founding member of Concerto Armonico Budapest, Trio Cristofori and The Rare Fuits Council, and solo cellist with Le Concert des Nations, Wiener Akademie, and until 2003 with Les Musiciens du Louvre. In 1995 Balázs founded his own early music ensemble Aura Musicale. He also performs with other ensembles including Café Zimmermann, Harmonie Universelle, Concentus Musicus Wien and Collegium 1704. Balázs also plays the violoncello piccolo and bass violin, and researches neglected composers and repertoire. His large discography includes the cello suites by JS Bach, cello concertos by CPE Bach, Monn and Cirri, and sonatas by Siprutini and Kraft.
He was professor of baroque cello in Leipzig until 2012 and is cello tutor of the Austrian Baroque Academy and the European Union Baroque Orchestra. In 2010 he was honoured with the Liszt Award for merit in musical life. In 2016 he conducted the Hungarian premiere of Orontea by Cesti at the Liszt Academy Budapest.