(1) Two texture groups A and B are evolved from the primary texture composed mainly of {334} <6 10 13>, {111}<112> and {434}<5 12 4> oriented grains in primary recrystallized Fe-3%Si containing MnS and AlN. The group A is composed mainly of Goss oriented grains rotated around the ND axis about 15-degrees and 20-degrees, while the group B has orientations centering around {335}<110> +/- 10-degrees rotated around the ND axis. Grain diameter of the group A is larger than that of the group B although the group A has an intensity level of about 30% of that of the group B. The intensity level of the groups A and B before grain growth were about between 15 and 20% and between 9 and 30% of the intensity of the main texture component before grain growth, respectively. (2) The mechanism of the evolution of A group is considered to be due to the higher frequency of adjacent grains in the SIGMA-9 coincidence orientation relationship and their higher mobility under precipitates rather than the size effect as their grain size is smaller than the average grain size before grain growth. The mechanism of the evolution of the group B is considered to be due to the higher frequency of adjacent grains in the SIGMA-9, SIGMA-19a and SIGMA-29b coincidence orientation relationships and their higher mobility under precipitates rather than the size effect as their grain size is smaller than the average grain size before grain growth. It is concluded from the above results that even under a weaker intensity level of inhibitors, the texture evolved by grain growth is more affected by the presence of coincidence boundaries rather than the effect of grain size before grain growth.