He was born in 1953 in Belgrade, he started playing the violin at the age of seven.
He is the winner of the highest awards at national competitions, and at the international competition “Musical Youth” (“Jeunesse Musicales”), in Belgrade, in 1973, he received the second prize, while in 1976, in addition to the second prize, he also received a special prize for the best performance of a work by J.S. Bach.
As concertmaster of the world youth orchestra, he performed in 1975 and 1977 with soloists such as H. Schering and P. Fournier, respectively. conducted by J. Martinon and B. Klee.
Since 1980, he has been continuously the first concertmaster of the Munich Philharmonic, whose set-conductor, until his death, was Sergiu Celibidache. Since 1999, the set-conductor has been James Levine, followed by Christian Thielemann since 2004, Lorin Maazel since 2012, and Valery Gergiev since 2016.
As a soloist, he performed with famous conductors, such as Sergiu Celibidache, James Levine, Zubin Mehta, Hiroshi Wakasugi, Horst Stein, Vaclav Neumann, Dmitrij Kitayenko, etc., as well as with all the orchestras of the former Yugoslavia. Solo concerts take him to almost all European countries, then to Japan, the USA and the former USSR.
In 1985 he founded the string trio “Gasteig-Trio München”, in 1996 he additionally founded the “Philharmonische Streichsextett” (“Philharmonic String Sextet”), and in 1999 the chamber orchestra “Philharmonische Solisten” (“Philharmonic Soloists”), of which he is the artistic director.
Since 2011, he has been engaged as a permanent concertmaster and artistic leader of the Zagreb Soloists.
He recorded for all radio and TV stations of the former Yugoslavia, then for Bavarian Radio, West German Radio, BBC (Manchester) and Greek Radio (Thessalonica). For the companies PGP, Thorofon, Arte Nova Classics and others, he recorded several compact discs, both solo and chamber music.
From 2007 to 2010, he was the artistic director of the Belgrade Music Festival (BEMUS), one of the oldest and largest classical music festivals in the region.
He was also a member of the jury at the following international competitions: “Jeunesses Musicales” in Bograd, 2011, then at the sixth competition for conductors “Lovro von Matačič” in Zagreb, 2015, at the fifth international competition for young composers in Samobor, 2016, and in 2018 at the international violin competition “Isaac Stern” in Shanghai. –
For the past ten years, Krstić has been more intensively engaged in pedagogical work, so in addition to private lessons, he also holds several violin courses, among others in Belgrade, Dubrovnik, Ljubljana, Valencia and France.