The paper deals with a vibration control system consisting of vsico-elastic dampers (VEDs) and an active-tuned-mass-damper (ATMD). The VEDs are installed to each story, while the ATMD is placed on only the tqp floor. The ATMD is based on the acceleration feedback method, the optimal tuning condition of which is derived numerically. The emphasis is placed on the application of the system to the elasto-plastic structure subjected to strong ground motion. We found that the proposed system not only decreases the damage of a main structure but also improve the control efficiency by reducing the maximum control force and displacement of the ATMD.