High levels of methionine (Met) and its metabolites, such as methionine sulfoxide (MetO), found in hypermethioninemia, can be detrimental to the body; however, the underlying mechanisms are still uncertain. Using a recently standardized protocol, the aim of this study was to investigate the effects of chronic administration of Met and/or MetO on parameters of oxidative damage in the total brain, liver, and kidney of young mice. Swiss male mice were subcutaneously injected with Met and MetO at concentrations of 0.35–1.2 g/kg body weight and 0.09–0.3 g/kg body weight, respectively, from the 10th − 38th day post-birth, while the control group was treated with saline solution. Results showed that Met and/or MetO caused an increase in reactive oxygen species (ROS) and lipoperoxidation, along with a reduction of superoxide dismutase (SOD) and catalase (CAT) activities in the brain. In the liver, Met and/or MetO enhanced ROS and nitrite levels, and reduced SOD, CAT, and delta aminolevulinic dehydratase activities. The effects on the kidney were an increase in ROS production and SOD activity, and a reduction in thiol content and CAT activity. These data demonstrated the contribution of redox imbalance to the systemic changes found in patients with hypermethioninemia. In conclusion, our findings may help future studies to better understand the pathophysiological mechanisms of hypermethioninemia as well as contribute to the search for new therapeutic agents for this pathology.