The current investigation was undertaken to study the effects of generation, hatch and genotype; to estimate the components of genetic variance and heritability and to determine the best cross within each generation based on multiple egg production traits. This information helps breeders to employ suitable breeding methodology for obtaining the parental groups for producing a commercial egg-type breed of chicken characterized by good productivity. Animal model analyses under both additive and dominance models were used to estimate the additive and dominance components of genetic variance. Best linear unbiased prediction (BLUP) was used for predicting the best cross for egg production traits. The local sire strains were (Silver Montazah, Baheij, Matrouh, Mandarah and Golden Montazah) together with two commercial dame lines (Lohman Brown and Lohman Selected Leghorn) were used in this experiment. The results showed clearly that all egg production traits in this study showed statistically insignificant differences under fixed effects of generations, hatches and genotypes. Contrarily, egg production traits were largely affected by the interactions generations x genotypes and generation x hatch x genotype. Moreover, the egg production traits in the first and second generations were genetically controlled by additive and dominance genetic variations, while in the third generation only dominance genetic variance was accounted a major part of the total genetic variance for all egg production traits studied. Consequently, heritability estimates in this study were low to moderate for egg production traits.