He completed his singing studies at the music academy in his hometown under Luisa Bosabalian and Carl Davis. He then received a scholarship to the Indiana University School of Music Bloomington/USA and was awarded the Franz Völker Prize for young tenors.

His first engagement was at the beginning of the 1995/1996 season at the opera studio of the Cologne Opera, where he became a member of the ensemble after just one year. There he sang lyrical tenor roles such as Tamino Die Zauberflöte, Ferrando Così fan tutte, Fenton Falstaff.

He has been working as a freelance artist since 1998 and has since performed at the major opera houses in Europe, including the Hamburg State Opera, the Semperoper Dresden, the Frankfurt Opera, the Deutsche Oper Berlin, the Komische Oper Berlin, the Opera Monte-Carlo, the Volksoper Vienna, the Flemish Opera Antwerp, the Théatre des Champs-Élysées Paris, the Teatro Real Madrid.

Matthias Klink had a particular success in the 1997/1998 season as Belmonte Die Entführung aus dem Serail in a production by Hans Neuenfels under Lothar Zagrosek at the Stuttgart State Theater. The artist has been associated with this house ever since.

He made his Italian debut in 1995 as Belmonte at the Teatro Comunale Treviso, followed by engagements in Parma, Bologna, and in 2003 at La Scala in Milan as Jaquino Fidelio under Riccardo Muti. In the 2006/2007 season, Matthias Klink appeared at La Scala as Narraboth Salome.

In May 2006, he made his American debut at the Cincinnati May Festival as Belmonte in a concert performance under James Conlon.

From 1999 to 2001, he was a guest at the Salzburg Festival as Tamino, Arbace Idomeneo, Alfred Die Fledermaus and in the world premiere of Luciano Berio's Cronaca del Luogo under Sylvain Cambreling. In the summer of 2006, he was heard there in the early Mozart opera La finta semplice.

Further invitations followed at the Schwetzingen Festival in 2002, the Baden-Baden Festival in 2000/03, the Hong Kong Arts Festival in 2003/2004, and the Aix-en-Provence Festival in 2003/2004. At the RuhrTriennale 2003 he sang Tamino in a production of La Fura dels Baus conducted by Marc Minkowski (television recording for Arte).

In the 2007/08 season Matthias Klink made several role debuts. In February he sang Matteo in Arabella for the first time at the Hamburg State Opera under Simone Young. In April 2008 he made his debut as Idomeneo in a new production at the Stuttgart State Opera under Manfred Honeck and in June 2008 he made his season-ending debut as Erik in Der Fliegenden Holländer at the Deutsche Oper Berlin.

In the 2008/2009 season Matthias Klink was heard for the first time at the Vienna State Opera as Tamino and Matteo. He also made his debut as Tamino at the Metropolitan Opera in New York in September 2009. At the Deutsche Oper Berlin he sang Midas in Richard Strauss’ Die Liebe der Danae in spring 2011.

Matthias Klink made his debut at the Stuttgart State Opera in November 2021 as Loge in Das Rheingold.

Numerous concert appearances and song recitals round off his artistic work.