Abstract: The assumption of constant rock properties in well test analysis of stress-sensitive reservoirs often caused significant errors in determination of reservoir transmissibility and storativity. To overcome this problem, this paper studies the pressure response of a triple porosity and triple permeability media that is stress-sensitive, and takes into account the triple porosity/triple permeability feature of oil reservoir, the influence of borehole storage and the deformation of medium in stress-sensitive reservoir. Introducing the permeability modulus, this paper develops the mathematical model of the deformation triple porosity/triple permeability medium. The dependence of permeability on pore pressure makes the flow equation strongly nonlinear; hence the solutions of the mathematical models are obtained by numerical method. The changing of pressure with the variation of deformation parameters and triple-porosity parameters are discussed, and the typical pressure curves are plotted. These results can be applied to well test analysis.