Two crosses of bread wheat were formed by crossing L-39 to V92/17 and New valley to V92/17. Approximately 30% of the F2 plants from these crosses were selected for grain yield and its components. Forty-eight F3 lines obtained from the selected F2 plants were then selected for grain yield and its components. The differences between the high and low mean values relative to high mean value were higher for grain yield than for any yield components in all crosses in the F2 generation and only in one cross (L-39× V92/17) in F3 generation. On the contrary, all of two crosses were lower for grain yield than for any yield components in the F4 generation. Results of variability for grain yield plant-1 revealed that the magnitude of phenotypic and genotypic variances were low suggesting that the directional selection appears to reduce the range and variability for grain yield plant-1 in the F4, and less affected by environmental factors and this is clearing in the high values of broad sense heritability for the two crosses especially in F4 generation. The actual gain as percentage of cross mean for grain yield plant-1 and its components was higher than the predicted one through cycle 1 and 2 for the two crosses which indicate that dominance gene effects are involved in the inheritance of these traits.