Ludwig Müller was born in Leoben (Steiermark), studied at the Music Universities Graz and Vienna with Valery Gradow, Klaus Eichholz, Günther Pichler and Ernst Kovacic and graduated with summa cum laude.
Since 1986 he has been concertmaster of the Vienna Chamber Orchestra and since 1992 of the Orquestra de Cadaques as well. He is guest concermaster with the Deutschen Kammerphilharmonie Bremen, the BBC Symphony Orchestra, the OBC Barcelona, the Orquestra de Castilla y Leon and the Orquestra Gulbenkian.
In this position he has played under conductors like Marc Albrecht, Rudolf Barschai, Ivor Bolton, Richard Eggar, Philippe Entremont, Adam Fischer, Reinhard Goebel, Thomas Hengelbrock, Heinz Holliger, Yakov Kreizberg, Sir Charles Mackerras, Sir Neville Marriner, Lord Yehudi Menuhin, Gianandrea Noseda, Krysztof Penderecki, Vasily Petrenko, Jukka Pekka Saraste, Günther Pichler, Jordi Savall, Heinrich Schiff, Sandor Vegh, Stefan Vladar.
As soloist and artistic director he has performed in many prestigious concert venues in Vienna, (Konzerthaus und Musikverein), Salzburg (Mozarteum), Berlin (Philharmonie and Schauspielhaus), Paris (Theatre de Champs Elysees), New York (Carnegie Hall), Tokyo (Suntory Hall), Osaka (Symphonie Hall) and made numerous recordings for broadcast and on CD.
From 1988 until 1998 Ludwig Müller was member of the Arcus Ensemble Vienna and performed in Europe, Israel, Japan and the US and the ensemble had its own annual concert series in the Konzerthaus in Vienna.
On the occasion of the opening of the Arnold Schönberg Center Vienna in 1998 Ludwig Müller founded the Aron Quartett Vienna which was the ASCs quartet in residence for10 years with ist own annual concert series.
Ludwig Müller is founding member of the Korngold Ensemble Vienna.