Data of Kermani sheep which collected during 1980-2002 were used in this study to estimate genetic parameters of growth chracteriestics. Traits were birth weight (BW, n=2086), 3 months weight (3MW,n=1922), 6 months weight (6MW, n=1142), 9 months weight (9MW,n=1583) and 12 months weight (12MW,n=774).Data of wool chracteriestics were measured and gathered in this study and were used to estimate genetic parameters of wool chracteriestics.Trait were staple length (SL,n=629), fleece yield (FY,n=629), fibre diameter(FD,n=629) and fleece weight (FW,n=629). Univariete and multivariate animal models with DFREML methods were used to estimate variance component.Estimated heritability in univariete analysis for BW, 3MW, 6MW, 9MW, 12MW, SL, FY, FD and FW were 0/101± 0.069, 0.296± 0.079, 0.308±0.087, 0.062± 0.078, 0.260± 0.071, 0.202± 0.111, 0.201±0.434, 0.205±0.333 and 0.414±0.10 respectively. Estimated heritability in multivariate analysis for BW, 3MW, 6MW, 9MW, 12MW, SL, FY, FD, and FW were 0.233±0/068, 0.576±0.079, 0.498±0.078, 0.299±0.076, 0.367±0.090, 0.639±0.233, 0.867±0.310, 0.930±0.790 and 0.595±0.110 respectively.Estimates of correlation coefficient between growth characteristics were high and positive and ranged from 0.87 to 0.98. Correlation coefficient between wool characteristics were positive but low and ranged from 0.001 to 0.15.