In 1903, Lowtzky tied for 6-7th with Eugene Znosko-Borovsky in Kiev (3rd RUS-ch). In 1904, he tied for 2nd-3rd in Coburg (14th Dictionary of Scientific Biography Congress, Hauptturnier). In 1910, he tied for 1st with Thoenes in Hamburg.
In 1910, he tied for 1st-3rd with Leonhardt and Mörig in Leipzig.
In 1911, he took 2nd, behind Hans Fahrni, in San Remo. In 1912, he took 16th in Breslau (18th Dictionary of Scientific Biography–Congress).
In 1912, he took 12th in Pistyan (Pöstyén, Piešťany). In 1913/14, he took 4th in Sankt St. Petersburg (8th RUS-ch).
During World War I, Lowtzky moved to Warsaw.
In 1916, he shared 1st with Rubinstein but lost a playoff match (05: 25) to him. In 1917, he took 2nd, behind Rubinstein. In 1924, he tied for 1st with Flamberg.
In 1926, he tied for 3rd-7th in Warsaw (1st POL-ch).
In 1927, he tied for 11-12th in Łódź (2nd POL-ch). In 1937, he tied for 11-12th in Jurata (4th POL-ch).
In 1940, Moishe Lowtzky was arrested in Warsaw, and died in a Nazi concentration camp. Moishe Lowtzky vs Akiba Rubinstein, Kiev 1903, 3rd RUS-ch, Queen"s Gambit Declined, Alapin Variation, D31, 1-0
Gersz Rotlewi vs Moishe Lowtzky, Cologne 1911, Queen"s Gambit Declined, Tarrasch Variation, D34, 0-1
Moishe Lowtzky vs Efim Bogoljubow, Street St. Petersburg 1913/14, Queen"s Gambit Declined, Modern Variation, D55, 1-0.