Abstract: In consideration of the matrix?crack and crack wellbore coupling flow under the threshold pressure gradient and the pressuresensitive effect, on the basis of elliptic seepage theory, superposition principle and equivalent wellbore radius model, an unsteady productivity prediction model for fractured horizontal well with arbitrary numbers of transverse fractures was developed considering mutual interference among fractures. Then the oil production decline rules of fractured horizontal well and the effects of various factors on its productivity were analyzed. The computational results from a case study show that such a well in tight oil reservoir is characterized by high initial production, rapid decline, short high?yield stage, low production in later stage followed by gradually steady state and keeping a long period of stabilized production. The threshold pressure gradient and the deformation coefficient have a great effect on production, the greater the gradient and coefficient, the lower the production of such a well will be. And the longer the horizontal wellbore length, the more the fracture number, the longer the fracture length and the bigger the flow conductivity, then the higher the production will be, but these values have their own optimum ranges