Data collected on 120random male at 12 weeks of age, from New Zealand white and Baladi Black rabbit. Data were analyzed applying multi-trait animal model ofcarcass characteristicsto obtain proportion of the phenotypic variance due to additive genetic effects (h²);common litter effects (c²);  random error effects (e²); genetic (r_G), common litter (r_C), environmental (r_E) and phenotypic (r_P) correlations.Datawere carried out by weighed least-squares means method in the procedure GLM of statistical software SAS(2003) to obtain least squares of effects for breed, parity and season and significant. Heritability estimateswere mostly moderate 0.20, 0.12 and 0.37 for live weight at slaughter, weight after bleedingand weight with viscera and without head,were moderate and high and ranged from 0.29 to 54 for edible parts, were moderate and ranged from 0.30 to 0.35 for dressing yield, alsowere low and moderate and ranged from 0.03 to 0.33 for inedible parts.Common litter effects Estimates were 0.37, 0.55 and 0.55 for live weight at slaughter, weight after bleedingand weight with viscera and without head, were ranged from 0.28 to 0.60 for edible parts, were estimates ranged from 0.38 to 0.42for dressing yield and ranged from 0.42 to 0.55 inedible parts.All possible genetic correlations betweencarcasscharacteristics were moderate to highandpositive except among TEDand both of LU and FUR, also between DR1 and VIS were negative.Common litter correlationsamongrecords ofcarcasscharacteristicswere mostly moderate or high, positiveand negative.Correlations ofenvironmental betweencarcasscharacteristicswere mostly moderate or high, positive and negative. Estimates of (r_P)between records of different carcasscharacteristicswere mainly positive and moderate or high magnitude. No significant differences of breed on carcass characteristics except for giblet. New Zealand White had highest of giblet and leaver. In mostly parity affected significantly on carcass characteristics, the highest value during first parity except for giblet and leaver were highest value during second parity. Contrary other traits were insignificantly.Most carcass characteristics were higher in winter months than other seasons.