The metal ion-modified aluminum-rich Cu-SSZ-13 zeolite possesses high hydrothermal stability (especially with modifications using yttrium). In this study, DFT was used to model the location of Cu2+, Cu+, Ca2+, and Y3+ on Al-rich SSZ-13. The Al distribution in the framework of SSZ-13 zeolite affects the locations of metal ions. The isolated Cu+, Cu2+, Ca2+, and Y(OH)(2+) ions are most stable in the six-membered ring, and the easiest site for Cu(OH)(+) or Y(OH)(2)(+) is in the eight-membered ring. When Cu2+ and Y(OH)(2+) or Cu2+ and Ca2+ are in the same cage, Cu' is located in the six-membered ring and Y(OH)(2+) or Ca2+ migrates to the eight-membered ring of the zeolite. The Y3+ exhibits the strongest effect on stabilizing the framework Al followed by Ca2+. In addition, metal ions could form multiple coordination bonds with the zeolite framework O, which further stabilizes the framework Al and enhances the hydrothermal stability of SSZ-13 zeolite.