The observation and analyses on the cyclic mechanic behavior responses of the CR / NR hybrid rubber damper subjected to a cyclic loading in compression have performed in this study. The waveform with a sine form has used in all performed cyclic tests in compression. Moreover, for the employed waveform, the average rate of cross head has controlled at the specified value of 30 mm/sec. Based on the observation on the experimental results, the facts have indicated that the response of the tested rubber damper subjected to a cyclic loading in compression is the closed form of a hysteresis loop; the measured maximum stress range decrease with decreasing the applied displacement range in compression; the stress range per cycle decreases with cycles. Moreover, the variation of absorbed strain energy per cycle, E_s , with cycles presents a gradually decrease and approach to a stable condition. The variation of strain energy per cycle with cycles depends on the magnitude of the applied displacement. A new cyclic performance indicator was proposed in order to estimate the correlation between the absorbed deformation energy and the transmitted force in per cycle by the tested rubber damper. Based on the calculated values, it was found that the magnitude of cyclic performance indicator decreases gradually to a stable value with cycles. The value of cyclic performance indicator increases with increasing the applied displacement range at the same number of cycle. In this paper, the Kelvin model was also employed to elucidate the variation of the visco-elastic properties of the tested rubber damper. According to the analyses on data, it was been found that the magnitude of cyclic equivalent damper coefficient increases to a stable value with cycles. On the contrary, the magnitude of cyclic equivalent stiffness decreases to a stable value with cycles. At the same number of applied loading cycle, both values of equivalent stiffness and damper coefficient increase with increasing the applied displacement range in compression.