Turbidite reservoir with low permeability is an important reservoir type. Because of its complex structural feature and strong heterogeneity, there are some deficiencies in the three-dimensional tectonic stress field simulation. For instance, the geometry models and the structure of the reservoir do not fit well. Besides, the several mechanics parameters of the rock can't adequately reflect the reservoir heterogeneity. In this research, firstly the fine geological PETREL model is made in the way of faces-controlled modeling. It includes all the heterogeneity features of the turbidite reservoir, such as, fancies, lithology, and physical properties and so on. Then, the reverse engineering of cloud data is used to transfer the geological PETREL modeling into the mechanical ANSYS model. Thus the geological information is fully transferred into the ANSYS model. This greatly improveS the accuracy of mechanical ANSYS model. Meanwhile, the rock mechanics parameters of the well is extended to the whole study area based on the three-dimensional velocity field PETREL model. This gives the mechanical ANSYS model the properties of geology. What's more, the boundary conditions are determined referring to the stress of fractured well. In the end, the tectonic stress field simulation of the turbidite reservoirs with low permeability in FAN142 is carried out. According to the well measured stress, the accuracy of the simulation result is reliable and can find out the local abnormal tectonic stress caused by structural feature and heterogeneity of turbidite reservoir. © 2015 ejge.