Abstract: The hydraulic fracturing in real fractured reservoirs is not completely the symmetric fracturing as described in the classic theory and sometimes can form complex fracture networks. The geostress change caused by the existence of natural fractures is one of the important reasons for the occurrence of this phenomenon. At present, there are systematical research theories and methods for the propagation of hydraulic fractures and natural fractures after their intersection, but the quantitative research on the particular parameters to meet the actual development demands has not been reported. In this paper, the intersection criterion of hydraulic fractures and natural fractures was improved based on previous theoretical base. Then, taking Well Block Honghe 92 of Enan oil reservoir as the research object, the intersection chart of this block was plotted and the propagation laws of hydraulic fractures were analyzed. In addition, true triaxial physical simulation experiment was carried out to comparatively demonstrate the correctness of the intersection chart. Finally, the suggestions on the fracturing construction in Well Block Honghe 92 of Enan oil reservoir were proposed, so as to provide theoretical basis and parameter guidance for the actual oilfield development design.