Oxidative stress is a major factor in aging processes. Superoxide dismutase 3 (SOD3) plays a key role in the protection of extracellular oxidative stress. Missense mutations in SOD3 have been described to be associated with the occurrence of pulmonary, cardiovascular, and neoplastic diseases. This study aims to analyze the effects of missense mutations on the SOD3 structure and function by modeling a complete SOD3 structure as well as analyzing the differences between the wild-types and mutants using computational simulations. Here, ten algorithms were used to predict the structural and functional effects of missense mutations. A complete model of SOD3 protein was made by ab initio and comparative modeling using the Rosetta algorithm and validated by PROCHECK, Verify 3D, QMEAN, and ProSa. Molecular dynamics (MD) simulations were performed and analyzed using the GROMACS package. The deleterious potential of the A58T and R231G mutants was not predicted by the majority of the used algorithms. The analyzed mutations were predicted as destabilizing by at least one algorithm. The MD analyses indicated that protein flexibility may be increased by all of the analyzed mutations, while the protein-ligand stability may be decreased. They also suggested that the variants A91T and R231G increase the overall dimensions of SOD3 and decrease its accessible surface area. Our findings, therefore, indicated that the analyzed mutations could affect the protein structure and its ability to interact with other molecules, which may be related to the functional impairment of SOD3 upon A58T and R231G mutations, as well as their involvement in pathologies.