An estimation of the production of long-lived radionuclides by neutron-induced reactions in potential fusion reactor materials is very important for the development of low-activation materials. Although some measured data of activation cross sections leading to long-lived radioactive nuclides are available, the development of a calculation capability is necessary to provide complete excitation functions of the reactions involved. Calculations are not generally effective when experimental data to determine the parameters used in the model calculation are limited. In the SINCROS-II system, the consistency of the method of calculation is respected, and the parameters used are cross-checked by the available experimental data and the systematic trend of the calculated results. Thus, the SINCROS-II is expected to predict the activation cross sections with good accuracy, even if the cross section is calculated for a radioactive target nucleus. As an example of the cross-section predictions, the activation cross-section calculations are presented up to 20 MeV for neutron-induced production of long-lived radioactive nuclides 60Co, 59Ni, 63Ni, 91Nb, 94Nb, 93Mo, 99Mo, 108mAg, 150mEu, 152Eu, 158Tb, and 186mRe.