Multi-staged fracturing for the horizontal well is the key technique of tight oil reservoir development. Due to the complexity of the in-situ stress and the impact of natural fractures，there is usually a certain angle between the hydraulic fractures and the wellbore，which makes the production forecast of the fractured horizontal well very difficult. Based on the equivalent permeability tensor theory in naturally fractured reservoir，a steady flow mathematical model has been established in the tight oil reservoir with full permeability tensor. By combining the half-analytical method that considering stress sensitivity with potential superposition principle，a discrete potential function unit of the flow from matrix to artificial fractures was formed. The flow in the fractures is considered as linear flow among the discrete units，and the matrix and fracture flow are coupled and solved. A computational method for productivity of arbitrary angular fractured horizontal well under the condition of the natural fractures was given. The result of a practical case shows that the error between the computing results and the field data is less than 7% for considering the effect of the angle of the natural and artificial fractures.Sensitivity analysis indicates that the angle between the primary permeability and the hydraulic fracture has a significant impact on the horizontal well productivity.