In this paper, a simulation method of the stiffness-damping characteristics of waves is proposed through the study of the admittance control. Firstly, a traditional six-degree-of-freedom Stewart structure is used to build a wave characteristics simulator, and numerical simulation software is used to build the wave characteristics simulator dynamics model and control framework. Secondly, the admittance control algorithm is introduced into the six-degree-of-freedom positional control to realize the passive motion simulation of the sea target after being collided. The paper focuses on the analysis and simulation verification of the stiffness-damping characteristics of the target in the vertical sea level direction and horizontal sea level direction. Finally, the study proves that the wave characteristics simulator with the admittance control algorithm can simulate the motion of the target on the waves more realistically.