The viscoelastic damper is a kind of efficient device for suppressing vibration and dissipating energy.The structure style and component materials of viscoelastic dampers have been introduced,three different forms of damper frame structure were established.The principle of shock absorption about the support of energy dissipation is expounded to analysis the earthquake response of three different forms of viscoelastic dampers with time history method.The center support,eccentric support and open frame building frameworks structures,such as vertex acceleration and displacement are analyzed.It is concluded that the effect is obvious to set up center support viscoelastic dampers of the concrete frame structure