This paper is addressed to the optimal control of the simply supported sandwich panel with pyramidal truss cores. Firstly, according to the sandwich theory proposed by Sorokin and Ershova, the eigenfrequencies of the sandwich panel are studied. Then based on the energy criterion, the weight coefficient matrix Q and R for the linear quadratic regulator method are obtained. By solving the Riccati equation, the displacement and control force are given. The curves for the displacement response at the center of the plate are shown. From the numerical results, it is found that this method is effective in suppressing the vibration of the sandwich panel with pyramidal truss cores.