The reservoir numerical simulation plays an important part in petroleum reservoir exploitation and enhanced oil recovery. The computation of transmissibility is an essential part in the reservoir numerical model, which largely affects the accuracy of the model. Considering the complexity of corner-point grid and the irregularity of the interface between grids, this paper establishes the computational numerical model for the transmissibility between corner-point grids on basis of the actual stratum structure. This method overcomes the disadvantage that the grids in block center can not describe the complex fracture shape and fluid flow state, and fully reflects how the interface shape between grids will affect the transmissibility. Finally, using the method proposed in this paper, we choose a typical reservoir which includes fault and pinch-out to compute its transmissibility between corner-point grids. By comparing our result with the result derived by the software Eclipse, it is shown that our algorithm is more accuracy.