Boris Tsoukkerman was born in 1947 in Moscow. He started taking violin lessons when he was 6 years old. His violin teachers over the years were Weniamin Bychkov, Wolodar Bronin and Mikhail Pitkus. In 1970 Boris Tsoukkerman graduated from the Tchaikovsky Conservatory in Moscow.
From 1973 to 1990 he played in the State Symphony Orchestra of USSR under the direction of conductor J. Svetlanov and from 1990 to 1991 in the Russian National Symphony Orchestra, including Mikhail Pletnev. Between 1991 and 2012, Tsoukkerman worked as a second violinist in the Netherlands Symphony Orchestra.
In the field of chamber music, he has mainly focused on the interpretation of works by lesser-known Russian composers such as, among others, Wassiljewa, Samonov, Catoire, Goldenweiser, Trofimenko, Rakitin. After his establishment in the Netherlands, Boris Tsoukkerman participated in the radio and CD recordings of the string quartet, string quintet, violin sonata and piano quintet by Georgy Catoire with, among others, Ivo Boytchev, Rian de Waal, Christiaan Bor and Godfried Hoogeveen. Of these works, those were the first recordings ever and Boris is the one who brought George Catoire to prominence again.