This study examined the compressive strength model for cementitious material based on the Portland cement -aluminous cement-anhydrite system, which considers the physical properties of the hydrate and phase composition. The volume fraction of each hydrate and the hardness of the synthesized hydrate measured by nanoindentation were used to determine the calculation formula of σ 0 of the Ryshkewitch model. The formula for calculating the k value using the volume fraction of each hydrate was also suggested. In the range of this study, the difference in the compressive strength of this system could be arranged by the Ryshkewitch model using the σ 0 and the k values calculated by the suggested calculation formulas.