A composite concrete floor is proposed in this book to suppress stationary random vibration in concrete structures using a compound vibration absorber named vibration damping compound (VDC). While the traditional vibration absorber can damp down the vibration mainly at the pre-tuned mode of the primary structure, active damping is generated by the proposed VDC to damp down all resonant modes of interest of the vibrating structure and the spatial average mean square motion of the vibrating structure can be minimized. Only one absorber and one feedback signal are required to achieve vibration suppression of a concrete structure under stationary random excitation. A special composite concrete floor is designed such that all vibration modes of the concrete structures become critically damped. It is proved analytically that the proposed VDC damps the vibration of the entire structure instead of just the attachment point of absorber.