The industrial demand for various types of grippers has increased, but most grippers used in Korea are imported. The present study investigates the optimal design of an electric gripper for production and use in Korea and abroad. Prior to optimization, the electric gripper is modeled using Solidworks under a 3D finite element. The reaction force under the action of gripping is simulated using RecurDyn and is input into ANSYS Workbench for structural analysis. For optimization, the design variable is the link thickness, and a central composite design method is used. The response surface method is used to determine the optimal stress value and the degree of deformation of the electric gripper. Results show that as the thickness of the links increases (except for link4), the stress and deformation decrease. Compared to the initial model, the stress and deformation of the gripper decrease by 9.78% and 19.68%, respectively.