- His wife, Anna Jurksztowicz, is a singer. He has a four children; his son, Radzimir, is a composer.
Krzesimir Dębski has been awarded numerous prizes for his jazz musicianship and composition work. The prizes include a.o.: First Prize at the World Competition of Jazz Ensembles (Belgium), and the Stanislaw Wyspiański Award from The Ministry of Culture (Warsaw, Poland). Readers of the monthly jazz magazine "Jazz Forum" have bestowed upon Dębski the honor of "Musician, Composer and Violinist Of The Year" from 1983 to 1986. "Down Beat" magazine rated Krzesimir Dębski among the top ten violinists in the world.
In 1986, Dębski received First Prize at the 25th Anniversary Spring Festival of Music, a composers' competition in Poland. In 1988, The Canadian Film Academy nominated Dębski for a Genie Award. The same year, he received a special award for his musical work with children from the Prime Minister of Poland.