A total of 15153 ejection semen of  61 Friesian bulls, kept at InternationalLivestockManagementTrainingCenter at Sakha Farm, belonging to Animal Production Research Institute, Ministry of Agriculture, Dokki, Cairo, Egypt, during the period from 1992 to 2000 were used in the present study. Traits studied are volume ofsemen (Vol, ml.), concentrates (Con.Mill/mil.) and livability (Liva. %) of sperm. Single and multi traits animal models were used. The model included the fixed effects of month and year of collection and the random effects of animals, permanent environmental and errors. Means of Vol, Con and Liva.were 4.53 ml, 1820 mill/ml and 68.57%,respectively. Estimate of heritability from single trait andmultiple trait analysis were similar and being0.32±0.10, 0.14±0.09 and 0.18±0.09, for Vol., Con., and Liva., respectively.Genetic and phenotypic correlations amongsementraits are positive and ranged from 0.08 to 0.67 for genetic correlations and from 0.30 to 0.80 for phenotypic correlations. Estimates of sire transmitting ability (STA)from single and multi traits animal models are similar, while the accuracy of estimates are little higher for multi traits animal models and ranged from-2.88 to 3.54 ml, forVol., and from -930 to 511 mill/mil for con., and from – 23.14 to 12.15 % for liva.,