Born in Poland, studied at the Conservatory of Moskau under David Oistrakh and Boris Belenkij. After finishing his studies Kostecki moved to Germany in 1972, where he worked as concertmaster in many important german Orchestras. In 1991 Kostecki become professor for violin at the Musikhochschule Hannover. Concerts, numerous CD's and broadcasting records underline his ability as a soloist performer. In recent years he has given international master classes and has also served as member of the jury in international music competitions.