This paper discusses the properties of viscoelastic damper during long duration random vibration. In this study, the long duration model of viscoelastic constitutive rule, which is based on fractional time-derivative model & capable for heat transfer analysis, is used to evaluate viscoelastic damper properties such as temperature dependence, stiffness etc. Analytical results show that temperature inside the viscoelastic material body become stable by effect of heat conduction & heat transfer even if the damper is vibrating randomly. In addition, this paper proposes a simplified evaluation method using sinusoidal-wave to substitute random time history data properties. Accuracy of proposed evaluation method is validated by comparing with analysis result using random time history data.