By using the elliptical flow model and the law of mass conservation, the mathematical model of unsteady percolation for wells with finite conductivity vertical fractures considering threshold pressure gradient in the low permeability naturally fractured gas reservoir was developed, and type curves of productivity performance were drawn and analyzed. Influences of threshold pressure gradient, fracture conductivity, storativity ratio and interporosity flow coefficient were analyzed. Analytic results show that the type curve of productivity performance can be divided into three periods, namely, the period of fracture flow, the period of interporosity flow, the period of total radial flow. The bigger the threshold pressure gradient is, the lower the productivity is. The bigger the fracture conductivity is, the higher the productivity is. The bigger the storativity ratio is, the higher the productivity is. The bigger the interporosity flow coefficient is, the earlier the interporosity flow happens. These are of significance for in-depth understanding of the producing performance of wells with finite conductivity vertical fractures in the low permeability naturally fractured gas reservoir.