Multi-ribbed slab structure (MRSS) is a new structural system developed in recent years, with multi-ribbed slab wall as its main bearing member, which was an orthogonal anisotropic solid constituted by reinforced concrete ribs, frame and embedded solid body. It was suggested to employ asymptotic expansion-based homogenization method to establish the equivalent homogenized model. The method is that it considers the impact of rib relative width and the possion. The research results showed that: the macroscopic constitutive relationship of multi-ribbed wall based by the method has certain accuracy, can provide basis for multi-ribbed slab structure FEM analysis.