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In the last decade, the growth of the inventory of hair sheep in Cuba and particularly the Pelibuey, given its rusticity and adaptability, has favored its expansion throughout the country. The objective of the present work was to estimate the genetic and non-genetic sources of variation on weaning weight (WD) and heritability (h2). The Genetics Unit Siboney is dedicated to the production of genetic animals of the russet color variety. The information was between the years 2013 to 2021 and included 1,314 PD. The pedigree file consisted of 2,053 animals. 29 groups of contemporaries (CG) were formed, made up of the combination of year-bimester -type of birth-sex. The year and month of birth, as well as the sex of the offspring, were highly significant (P<0.001) for PD, but not the type of birth and the number of offspring. The analyzed sample had an average of 14.43 ± 3.7 kg, with 89.1 days of age and an average parity of 1.7 offspring at birth. The h2 for direct additive effect was 0.15±0.08, the maternal 0.14±0.04 and the direct-maternal correlation -0.19±0.05. Genetic improvement can be expected for PD and the antagonistic effects with the maternal component can be considered.