A Monte Carlo simulator is presented to reproduce data of nucleus-nucleus interactions at high energies. The program is designed in a microscopic point of view, where the cascade approach is applied. Moreover, each nucleon from both the target and the projectile is followed up on the time scale along the collision time. The effect of the mean field that depends on the nuclear density is considered. Elastic and inelastic scattering are allowed for the nucleon binary collisions during the cascade according to their center of mass energies. Particle productions are studied through the fragmentation of strings and sub-strings, which may be formed due to the color field between the interacting quarks rather than the gluing interactions. The predictions of the Monte Carlo are fairly compared with the recent CERN data of p-32S and 32S-32S collisions at 200 A GeV incident energy.