Viscoelastic damper dissipates energy through shear deformation of the viscoelastic material, and it causes temperature rise resulting softening of the material under long duration loading. This paper discusses properties of viscoelastic damper during long duration wind-induced vibration and presents simplified evaluation method using sinusoidal-wave as a substitute to random time history data properties. Accuracy of this evaluation method is validated by comparing the random vibration tests to sinusoidal-wave tests. In addition, analysis method of viscoelastic constitutive rule, which is based on fractional time-derivative model that takes heat transfer analysis into consideration, is used under long duration wind-induced vibration to simulate viscoelastic damper properties such as temperature dependence, stiffness, and etc. Analytical results are consistent with random vibration test results using heat-transfer coefficient obtained from simplified sinusoidal-wave test.