Data on growth traits of Nellore sheep were extracted from the records maintained at Livestock Research Station, Palamaner, Andhra Pradesh, India for a period of five years. The genetic and phenotypic parameters were estimated for growth traits i.e., average daily gain (ADG) from birth to 3 months (ADGa), 3 months to 6 months (ADGb), 6 to 12 months (ADGc) and the corresponding Kleiber ratio (KR) at respective stages of growth. The non genetic factors included in the model were having significance on most of the traits studied. The heritability estimates for ADG and corresponding KR ranged from 0.17 to 0.25. The estimates of genetic correlations among the traits ranged between -0.28 (Ka-Kb) and 0.99 (ADGb-Kb). The moderate estimates of heritability, high and positive genetic correlations among the traits in the study were suggestive of moderate genetic progress in the Nellore breed of sheep through selection.