This study aimed to estimate the prevalence of infection by the hepatitis B virus (HBV) and hepatitis C virus (HCV) in people infected by the human immunodeficiency virus (HIV) and analyze sociodemographic and behavioral factors associated with such co-infection. A cross-section study was performed in 495 individuals treated at a public center in the city of Goiânia. Participants were interviewed and blood collected for evaluation of serological and molecular markers for HBV and HCV. The rate of exposure to HBV was 33.5% (95% CI 29.4-37.9). Nineteen patients (3.8%) were diagnosed as HBV carriers, of whom 68.4% were HBV DNA positive. The prevalence of anti-HCV was 9.7% (95% CI 7.3-12.7). Genotype 1a was identified in 72.7% of the PCR samples positive for HCV. Co-infection by all three viruses was 4.4% (95% CI 2.9-6.8). Being, male, aged ≥40 years, history of sexually transmitted disease (STD), and having homosexual practices were independently associated with the presence of markers of HBV exposure. A history of injectable drugs use and STDs showed association with HCV seropositivity. Approximately 50% of participants were not aware of their HBV and HCV serostatus. The results obtained may contribute to assess the burden of viral hepatitis in people living with HIV and to guiding preventive measures for more vulnerable groups.