Hierarchical honeycomb (HH) structures with level of hierarchy more in the honeycomb construction (by replacing the vertices of a regular hexagonal lattice with smaller hexagons) are widely used in engineering applications mainly due to their superior mechanical behavior and lightweight high strength characteristic. At the same time, the role of hierarchy and control gain on the dynamic behavior of HH structures with surface-bonded actuator remains largely unexplored.In this study, we investigated the active vibration control behavior of the HH structure with surface-bonded piezoelectric actuators. The HH plate like structures was constructed with two identical face sheets and placed HH core in-between. By using ANSYS parametric design language (APDL), the proportional-integral-derivative (PID) control algorithm was incorporated into the finite element model for performing the closed-loop control simulations. The accuracy of the present method was validated with other researchers’ results. Furthermore, different parametric cases such as the effects of control gain and level of hierarchy to the transient vibration behavior of HH plates with surface-bonded actuators were investigated.