In this study, the numbers 8366, 6360, 4350, 2890 and 2430 records related to birth weight, weaning weight, 6-month weight, 9-month weight and yearling weight Zandi sheep breeding sheep station Zandi (Khojir Station), the distance between 1991 to 2007 collection was gathered, were used. Direct heritability and maternal traits with analysis using single-trait restricted maximum likelihood, and fitting six different animal models with the addition and removal maternal additive genetic effects and maternal permanent environmental, were estimated. Than the likelihood ratio test showed that the model with direct genetic effects and maternal additive genetic, regardless of birth weight for the covariance between them, the model with direct genetic effects and permanent environmental maternal for weaning weight and weight six months and models with direct genetic for nine months weight and yearling weight were appropriate. Genetic correlation, phenotypic and environmental multivariate analysis and appropriate model for each trait were estimated. Estimated breeding value genetic trend for each trait, using the best single-trait and multivariate animal model estimated. Genetic trends were estimated by regressing the mean of breeding values on year. Direct genetic trend Birth weight, weaning, 6-months, 9-months and yearling of with analysis of univariate and multivariate were estimated 2.1±0.7 and 3.9±1.1, 98.5±1.40 and 106.28±38.2, 89.63±21.2 and 95.47±33.4, 26.35±10.6 and 32.22 ±16.5, 41.53±13.4 and 49.83 ± 18.20 gr per year, respectively.