This study was conducted at the farm of Faculty of Agricultural –Kharabo as an intensive crop during 201 and 2012 growing seasons. Using the Randomized Complete Block Design (RCBD) with two replications to study some genetic indices for grain yield and its components, of 79 families of the Sh group of maize improved by Full-sib selection. The results indicated that the broad sense heritability ranged from high to moderate for some yield components (number of kernels per row, number of rows per ear, ear length, ear diameter, the weight of whole ear, whole kernel weight and grain yield and it was 49.6, 52.9, 46.3 79.7, 56.74, 51 and 85.2%) respectively. Additive gene action appeared to be controlling number of kernel per row, number of rows per ear, ear length, ear diameter،,grain yiel, the weight of whole ea, kernel weight indicating less selection cycles are required to improve yield depending on its components.