Growth, fertility, hatchability and egg production are economically important traits in local poultry production systems, since the developed chickens are kept for both meat and egg production. Breeders planned for conserving and increasing the productive efficiency of native fowls genetically for economic traits. Therefore, methods used to analyze the additiveness of genetic effects may be tested by comparisons of backcrosses, F2 and F3 generations. The third generation and backcrosses progenies of a cross between Gimmizah and Bandarah were used to determine the gene actions controlling growth traits, fertility, hatchability and egg production traits. Animal model analyses under both additive and dominance models, with the aim of estimate additive, dominance effects and heritability of productive traits to optimize the useful genetic program for achieving genetic progress in the parental strains. Generally, this study revealed that both backcrosses and F3 generation contain a high proportion of additive genes from each parental strain controlling the inheritance of fertility and hatchability percentages, suggests that selection would be effective for those traits. On the other hand, dominance genetic variations accounted for a major part of the total genetic variance for body weights, growth rates and most of egg production traits, respectively. These traits also showed low to moderate level of heritability ranged from 0.23 to 0.43.