Based on the problem of simulation and prediction of the non-equidistant raw data series for the multi-variable with interaction, the multi-variable MGM(1, m) model in the case of non-equidistance is modeled and the non-equidistance MGM(1, m) model is constructed in order to improve the accuracy of simulation and prediction. The simulation and prediction accuracy is proved to be higher in multi-variable non-equidistant MGM(1, m) model than in single-variable nonequidistant GM(1, 1) models according to an application. The proposed model is suitable in non-equidistant modeling and equidistant mo...