The Gyr cattle (Bos indicus) is a very important dairy breed in tropical countries like Brazil, mainly due to its tolerance to heat stress and parasites infestations as well as their use in crossbreeding schemes with other specialized dairy breeds, such as Holstein. In addition to the single nucleotide polymorphism (SNP), genomic structural variants such as copy number variants (CNV) have been revealed to be a substantial source of genetic and phenotypic variation in cattle, being an alternative to explain the missing heritability of complex traits. The aim of this work was to investigate common CNV regions associated with dairy traits in Gyr cattle. The Log R ratio profiles of 481 Gyr animals were determined using a high density SNP chip (Illumina BovineHD BeadChip assay), and the phenotypes evaluated were: age at first calving (AFC), milk (MY), fat (FY), protein (PY) and total solids yields (TSY), and protein (PP), fat (FP) and total solids percentage (TSP). The Log R ratio, predicted from Genome Studio software, was used in Golden Helix SNP & Variation Suite (SVS) 8.1, and the copy number analysis module (CNAM – multivariate algorithm) was used to identify common CNVs among animals. Linear regression was employed to identify CNVs associated with each production trait with significance level of FDR >0.05. A total of 47 CNV regions were detected that affected at least one trait, with 22 regions affecting 3 or more traits where one of them, located at chromosome 7, affected all traits except MY. Under these 22 regions, 38 structural variation, 18 genes and one pseudo-gene annotated in bovine genome (Biomart tool of Ensembl) were observed. The Panther Classification System divided these genes into 10 biological process categories highlighting localization, immune system and metabolic processes. The results suggest that common CNV regions can be biologically involved with more than one dairy trait.