In 1930 Moshe Czerniak took ninth at Warsaw in an event won by Paulino Frydman. In 1934 Czerniak emigrated from Poland to Israel (then the British Mandate). In April 1935, he tied for 7th–8th in Tel Aviv (the 2nd Maccabiah Games, Abram Blass won). He was Israeli Chess Championship in 1936 and 1938. In April 1939, he played in the First Lasker Chess Club Championship in Tel Aviv. In June 1939, he became the champion of Jerusalem. Czerniak played for his adopted country at first reserve board in the 6th Chess Olympiad at Warsaw 1935 (+6 =2 −5), and at first board in the 8th Olympiad at Buenos Aires 1939 (+4 =2 −10).