Electrochemical machining (ECM) has unique features and advantages which is a suitable method for machining when surface quality and residual stresses are of importance. Because of various parameters that influence this process, numerical and experimental studies play a key role in feasibility, practical utilization, and selection of optimal machining parameters in different materials and applications. On the other hand, with the high technology used in the casting of nickel-based single crystal superalloys, no grain boundaries are created in the material. Therefore, by improving the mechanical properties of this material, the traditional machining processes are not effective and economical. Also, they cause defects such as residual stresses, tool wear, and poor surface quality. The purpose of this research is to investigate numerically the electrochemical machining on this special superalloy. Comsol software is used for process modeling and numerical analysis. Firstly, the electrical current and voltage in the machining gap are determined, and finally, the workpiece displacement boundary is obtained. Then the numerical conditions of machining parameters are implemented for experimental investigation by electrochemical machining machine. About 8% error between the results of numerical simulation and experimental investigation shows the feasibility and capability of this modern machining for this particular superalloy.