The reservoir in the Anpeng deep layer is a typical tight oil reservoir, the core divided into four categories according to the permeability size. Pore size distribution and threshold pressure gradients with different permeabilities, as well as stress sensitivity coefficients of hydraulic fractures with various apertures are determined by NMR or core tests. The productivity formula of ‘trilinear flow’ for fractured well is established considering threshold pressure gradient and stress sensitivity of the hydraulic fractures. The effects of threshold pressure gradient and stress sensitivity on production are analyzed. The corresponding program is obtained. Finally, the method is verified by fitting the production data of Wells B252 and B185 in the deep layer of Anpeng, which provides a theoretical basis for Anpeng Deep productivity prediction.