Abstract: For low permeability reservoirs, the stress sensitivity cannot be neglected, and it makes the pressure system very complicated. In a low permeability reservoir, an effective system of the displacement pressure is a basis to guarantee the efficient development. Therefore, the research of the characteristics of the pressure distribution in a low permeability reservoir is important to the reservoir development. In this paper, the stress sensitivity of the low permeability core is taken into consideration, and the distribution of the pressure in the process of one-dimensional waterflooding is studied through experiments and numerical calculations, and the factors which affect the pressure distribution are also analyzed. The results show that, due to the effect of stress sensitivity, the pressure distribution sees obvious nonlinear characteristics, and there is an evident demarcation point at the displacing front; the degree of the stress sensitivity and the viscosity ratio have a great influence on the pressure distribution.