He was born in 1970 in southern Germany. He studied under Konrad Richter in Stuttgart and under Hans Leygraf in Berlin and Salzburg.
He has won prizes in many prestigious competitions, including First Prize in the Artur Schnabel Competition in Berlin (1990), and he earned international renown by becoming the first ever German winner of the Queen Elizabeth Competition in Brussels (1995).
In the United States, Markus Groh has performed with such orchestras as the Colorado Symphony Orchestra, Detroit Symphony Orchestra, Florida Orchestra, Fort Worth Symphony, Jacksonville Symphony Orchestra, Milwaukee Symphony Orchestra, National Symphony Orchestra, New Jersey Symphony Orchestra, Pacific Symphony, Louisville Orchestra, Philadelphia Orchestra, San Francisco Symphony and Seattle Symphony Orchestra. Outside the USA, he has worked with the Bamberger Symphoniker, Berliner Sinfonie-Orchester, Bournemouth Symphony Orchestra, Budapest Festival Orchestra, Residentie Orkest, Het Brabants Orkest, Helsinki Philharmonic Orchestra, Malmö Symphony Orchestra, London Symphony Orchestra, MDR Orchestra (Leipzig), SWR Orchestra (Stuttgart), St Petersburg Philharmonic Orchestra, Orchestre de la Suisse Romande, Beijing Symphony Orchestra, Osaka Philharmonic Orchestra, New Japan Philharmonic and Auckland Philharmonic Orchestra. He has appeared with such conductors as Jesús López-Cobos, Ivan Fischer, Miguel Harth-Bedoya, Marek Janowski, Neeme Järvi, Fabio Luisi, Kent Nagano, Jonathan Nott and Stefan Sanderling.
As a chamber musician, he works with Viviane Hagner and Claudio Bohórquez.
Markus Groh is a regular guest of the music festivals in Ruhr, Ludwigsburg and Bad Kissingen (Germany), as well as the Schubertiade festival in Hohenems (Austria). He is the founder and artistic director of the Bebersee Festival (Germany).
His reputation was particularly enhanced by his performances of the complete works of Ferenc Liszt, released by the AVIE label in 2006 to great critical acclaim. Other CD recordings include works by Claude Debussy, Sergey Prokofiev, the cello sonatas of Benjamin Britten with Claudio Bohórquez (Berlin Classics) and the cello sonatas of Johannes Brahms with Alban Gerhardt (Harmonia Mundi).