In 1906, he finished 2nd, behind Akiba Rubinstein, in Łódź. In 1907, he again finished 2nd, behind Rubinstein, and ahead of Gersz Rotlewi and Gersz Salwe in Łódź (Quadrangular). In 1907/08, he took 10th in Łódź (the 5th All-Russian Masters' Tournament; Rubinstein won). In 1909, he tied for 1st-2nd with Rotlewi in Łódź. In 1909, he tied for 4-6th in Saint Petersburg (All-Russian Amateur Tournament; Alexander Alekhine won). In 1912, he took 6th in Łódź (Efim Bogoljubov won).
The period from 1915 to 1921 he spent in Russia. In 1920, he tied for 9-10th in Moscow (1st USSR Championship) won by Alekhine. Then he returned to Poland, and lived in Łódź where he took 2nd behind Jakub Kolski in 1922/23 and tied for 1st-2nd with Gottesdiener in 1924. The same year, he took 3rd in Warsaw (Quadrangular; Gottesdiener won) and represented Poland at 1st unofficial Chess Olympiad in Paris (+6 –4 =3). In 1927, he took 10th in Łódź at the 2nd Polish Championship which was won by Rubinstein.
Notable chess games
- Dawid Daniuszewski vs Akiba Rubinstein, Lodz 1907, Ruy Lopez, Nuremberg Variation, C60, 1-0
- Alexander Alekhine vs Dawid Daniuszewski, Moscow 1920, URS-ch, Bishop's Opening, Vienna Hybrid, C28, 0-1
- Georges Koltanowski vs Dawid Daniuszewski, Paris 1924 (ol), Slav Indian, A50, 0-1
- Dawid Daniuszewski vs Samuel Szapiro, Lodz ghetto 1944, French Defense, Winawer, Bogoljubow Variation, C17, 1-0
- Wolsza, Tadeusz (2003), Arcymistrzowie, mistrzowie, amatorzy. Słownik biograficzny szachistów polskich, tom 4. Wydawnictwo DiG, Warszawa. ISBN 83-7181-288-4