In recent years, high-rise buildings require countermeasures against long-period ground motion in urban areas because of the Nankai Trough earthquake and long-term wind vibration. Therefore, countermeasures against long-term vibrations in high-rise buildings has gained research interest. As one of the measures, a damping structure using a damper can be considered. Especially, Viscoelastic (VE) damper is one of the types of effective vibration passive control devices for earthquake and wind loadings because it effectively absorbs vibration energy for both low- and large-amplitude, and low- and high-frequency excitations. In addition to the heat generated due to energy dissipated, the effect of heat conduction and convection becomes significant under long-duration vibration and must be taken into consideration in the design of VE-damped high-rise building. There had been previously proposed methods which considers such effects but these methods require advanced knowledge and tools which may not be readily available to designers. This paper, therefore, proposes simplified methods in predicting the dynamic characteristic of VE damper under long-duration loading based on the closed-form solution of steady-state heat transfer analysis. Results from the analysis of VE damper under long-duration harmonic loading using these simplified methods are very similar to those of the previously proposed methods.