The designability of compressive modulus and plateau stress, along with the tunability of compressive mechanical properties, constitute key challenges in enhancing the applicability of porous materials. The design methodology for ordered porous-based interpenetrating phase composites represents an effective approach for designing and tuning composite mechanical properties. First, constitutive equations are established and material parameters obtained based on the compression characteristics of the resin matrix, which are then implemented into finite element software; subsequently, finite element simulations are performed on ordered Primitive structure scaffolds and their interpenetrating phase composites using the hyperelastic Ogden model, to investigate the influence of scaffold volume fraction and the mechanical properties of the polydimethylsiloxane filler phase on the compressive performance of the composites; finally, the influence mechanism of interpenetration on the compressive deformation of ordered porous-based interpenetrating phase composites is analyzed. The results demonstrate that: the Primitive structure scaffold exhibits favorable high-modulus wide stress plateau characteristics, but thin-wall bending induces a stress drop phenomenon in the plateau; interpenetration effectively suppresses the stress drop behavior caused by scaffold thin-wall bending and optimizes the stress distribution within the scaffold; variations in scaffold volume fraction and filler phase properties can effectively regulate the compressive modulus and plateau stress level of the composites. Ordered porous-based multi-continuum interpenetrating phase composites are expected to resolve the issues of low compressive modulus, large plateau stress variation, and stress drop in conventional polymer porous materials, thereby indicating the direction for tunable design of compressive modulus and plateau stress, and are anticipated to promote the application of porous materials in energy-absorbing and vibration-damping cushioning layers.