Knowledge of the cross sections of reactions of charged particles with target material is needed to understand well the mechanisms of nuclear reactions. One of the main application fields of nuclear technology and nuclear reactions is medicine. Radioisotopes are used in medicine and production of these radioisotopes is important. In the production processes, the cross sections must be known. For this purpose, in this study, theoretical cross sections of production of In isotopes by alpha irradiation have been calculated using Talys 1.6 nuclear reaction simulation code. The obtained results are compared with the existing experimental data.