The repeatability multi-trait animal model procedure (MTDFREML) was used to analyze 93 litters born to 36 does with pedigrees from 9 sires and 13 dams. Litter weight traits (LW), which included (litter weight at birth, LWB; litter weight at 21 days, LW21; litter weight at weaning, LWW) and litter weight gain (LWG) were (litter weight gain from birth to 21 days, LWG_{B_21}; litter weight gain from birth to weaning, LWG_{B_W}; litter weight gain from 21 days to weaning LWG_{21_W}) on New-Zealand White (NZW) rabbits does for two consecutive years.   Heritability estimates (h²_a) of LW were low to moderate ranging from 0.13 to 0.18. While h²_a for LWG traits ranged from 0.09 to 0.15. Estimates of genetic correlations were highly significant (P<0.01), moderate and high ranging from (0.754 to 0.975). As for rank correlation estimates obtained among breeding values were positive, moderate, and highly significant (P<0.01), ranging from (0.754 to 0.975). The ranges of the NZW does breeding valueswere 0.36, 0.63 and 0.81 kg for LWB, LW21 and LWW traits, were 86.0, 62.0 and 63.0 gm for LWG_{B_21}; LWG_{B_W} and LWG_{21_W} traits, respectively.  In addition, the percentages of positive breeding valuesestimated ranged from 48.7 to 69.2% for LW and from 29.0 to 73.1% for LWG traits. The epigenetic trend of litter traits (LWW and LWG) for NZW does properties influenced by the environmental conditions, genetic variations were observed in the arrangement of the parity and year-season effects. Additionally, mentioned that it is possible to achieve slow, but simultaneous improvement of litter traits with a selection program. Conclusively, the current study showed that the selection for does of rabbits based on the highest 25% of breeding values will achieve a good selection plan in the future.