A fission channel has been added to the intranuclear-cascade-evaporation model of nuclear reactions so that this model can be used to obtain the differential particle production data that are needed to study the transport of medium-energy nucleons and pions through fissionable material. The earlier work of Hahn and Bertini on the incorporation of fission evaporation competition into the intranuclear-cascade-evaporation model has been retained and the statistical model of fission has been utilized to predict particle production from the fission process. Approximate empirically derived kinetic energies and deformation energies are used in the statistical model. The calculated number of emitted neutrons and residual nuclei distributions is in reasonable agreement with experimental data, but the number of emitted neutrons at the higher incident nucleon energies 500 MeV is sensitive to the level density parameter used.