Plane wave scattering by an infinite wedge whose faces are characterized by the periodic anisotropic impedance is investigated. Based on Impedance Boundary Condition （IBC）, An improved hybrid method of the Moment Method (MM) and the Physical Optic (PO) is applied to calculate the equivalent electric current on the wedge face. MM-PO method was used to solve scattering problem of PEC wedge and homogeneous anisotropic impedance wadge, researching of the heterogeneous anisotropic impedance wadge mainly focused on the heterogeneity of the transverse direction (perpendicular to the cleft side). Compared to PEC wedge and homogeneous anisotropic impedance wadge, the computation complexity of heterogeneous anisotropic impedance wadge is increasing. A periodic representation of the scattering face is used to prevent the surface effect in the calculated scattering. Several universal series are derived for all elements of the interaction matrix in MM region, and the total current on PO region is the combination of the PO-current and the diffracted current. For MM region，A series of general series was approximate calculated the impedance matrix elements.