Equating or linking, which calibrate the parameters of two or more tests, are critical to the application of IRT, because they allow for comparisons between test scores. Common item design or common person design is often used for equating. In Multidimensional item response theory model (MIRT), there is a case that both common item design and common person design are available. However, few studies about the equating process corresponding to such a case has not been conducted. The present study proposes the integration of common item and common person criteria and analyzes the characteristics of the method through computer simulations. The results of the simulations reveal the proposed method is effective when one must take both criterion into consideration.