This study was conducted during the three successive growing seasons 1998, 1999 and 2000 at the Sakha experimental farm, Agricultural Research Station. The Egyptian cultivar Giza 68 and Sea Island cultivar were crossed to obtain the hybrid was used in this investigation. The genetical parameters of some economic cotton traits were determined. The estimate potence ratio were over dominance for all studied traits except for seed index and 50% staple length which showed partial dominance and 2.5% staple length which showed complete dominance. Highly significant positive heterotic effect relative mid parents was calculated for seed cotton yield, lint cotton yield and boll weight while, it was significant for 2.5% staple length. Meanwhile, the ^/MP heterosis was highly significant and negative for number of days to first flower. The inbreeding depression effect was highly significant for seed cotton yield, lint yield and lint percent. A highly significant positive value of additive was showed for seed cotton and lint cotton yield traits. A significant negative value of the epistatic effect (additive x dominance) was showed for seed cotton yield. Meanwhile, highly significant positive values of the epistatic effect (dominance x dominance) were showed for seed cotton yield, lint yield and 2.5% staple length. High heritablity estimates were calculated for boll weight, lint percent, seed index, 2.5% and 50% staple length. The genotypic correlation coefficient was positive and highly significant between seed cotton yield with lint yield, boll weight, lint percent, node number and span length at 2.5%. Also, it was highly significant between lint yield with boll weight, lint percent, node number and span length at 50%. The relation between boll weight with seed index and 2.5% and 50% staple length, and the relation between seed index with 2.5% and 50% staple length were highly significant. Genetic correlation coefficients were highly significant and negative between seed cotton yield and number of days to first flower and between lint percent and seed index. Most of genetic correlation coefficients were higher than phenotypic correlation coefficients.