Viscoelastic (VE) damper generates heat as it dissipates seismic and wind-induced structural vibration. Thereby, when under long-duration loading, its temperature can significantly increase. Since it is highly sensitive to frequency and temperature, effect of heat generation and heat transfer must be considered when predicting its dynamic mechanical properties. Previous studies on two-layered VE dampers had proposed analysis and prediction methods based on one-dimensional heat transfer. Such methods, however, were never employed to multi-layered VE dampers. Therefore, this paper extends such one-dimensional modeling approach to analysis and prediction of multi-layered VE damper properties considering effects of heat conduction and convection.