Herein, four kinds of initial Goss textures with different deviation angles (0°, 5°, 10°, and 15°) are obtained by controlling the included angles between the longitudinal directions of rectangular cutting specimens and the initial rolling direction of the raw material. Then, 0.05 mm thick grain‐oriented silicon steels are fabricated by cold rolling and primary recrystallization annealing. Effects of initial textures on the microstructure and texture evolutions and magnetic properties are investigated in detail. Compared with sharp {111}<112> in the cold rolling sheet with initial exact Goss, the deviated Goss favors the formation of strong {111}<112> + weak {h11}<1/h 1 2> textures. After annealing, sharp {210}<001> + medium {110}<001> textures develop as a result of the small initial deviation, while larger initial deviations contribute to the {310}<001> texture. In addition, the average grain sizes are also related to recrystallization textures. Consequently, the distinct recrystallization microstructures and textures result in the differences of magnetic properties. [ABSTRACT FROM AUTHOR]