This paper typically studied the pressure transient response for interference test in the anisotropic media in consideration with the stress sensitivity of permeability. Combined with anisotropy characteristics of permeability, second order tensor for directional permeability test method is established by means the linear flow analytical equation in fractured anisotropic media is presented. Based on Darcy’s law of fluid flow, tensor theory and coordinate transformation principle, the two-dimensional permeability tensor model for matching type curve with field data are derived for multi-well interpretation analysis. It is extended to the reservoir in situ condition, and the mathematical model of the tensor permeability for three well system in pressure-sensitive anisotropic media is established. The results have a significant impact in understanding the seepage law in the fracture.