The study was carried out at Pho Yen Chicken Research Station - Thuy Phuong Poultry Research Center to select the breed of rooster D629, to improve the genetic of egg yield and egg weight for D523. Using BLUP method over 4 generations from 2017 to 2020. Genetic parameters were estimated by an animal model multi-trait REML using the VCE 6.0.2 software. Breeding values estimated by animal model multi-trait BLUP method using the PEST 4.2.3. Genetic progress was obtained by regression of breed value over each generation. The analysis results show: Rooster D629: the genetic coefficient of 38 weeks old egg yield over 4 selected generations is 0.27, egg weight is 0,43. Genetic progress of the egg yield trait for roosters is 2.34 eggs/generation, hens is 2.42 eggs/generation. Egg yield for hens/68 weeks old is 263.87 eggs. Hens D523: The genetic coefficient of 38 weeks old egg yield over 4 selected generations is 0.23, egg weight is 0.46. Selection for genetic improvement of 38 weeks old egg weight over 4 generations has been effective. Genetic progress of the egg weight for roosters is 0.80 g/generation, hens is 0.78 g/generation. Egg weight of 38 weeks old is 64.14g.