In this study, epoxidized high vinyl polybutadiene rubber (EHVBR) was prepared by the epoxidation reaction of high vinyl polybutadiene rubber (HVBR) in toluene using peroxyacetic acid as oxidant. The effects of reaction temperature and peroxyacetic acid concentration on the epoxidation degree of EHVBR were investigated by Fourier transform infrared (FTIR) spectroscopy and nuclear magnetic resonance (NMR), and the damping properties of organic hybrids consisting of EHVBR and different contents of hindered phenols tetrakis [methylene‐3‐(3‐5‐di‐tert‐butyl‐4‐hydroxyphenyl) propionyloxy] methane (AO‐60) and 3,9‐bis[1,1‐dimethyl‐2{β‐(3‐tert‐butyl‐4‐hydroxy‐5‐methylphenyl)propionyloxy} ethyl]‐2,4,8,10‐tetraoxaspiro[5,5]undecane (AO‐80) were explored by dynamic mechanical analysis (DMA). FTIR and NMR analyses indicated that the epoxidation occurred on the C=C double bonds of HVBR molecular chains and the epoxidation degree of EHVBR could be adjusted from 5 to 65% through control of the reaction temperature and peroxyacetic acid concentration. DMA and physical mechanical measurements indicated that the introduction of AO‐60 and AO‐80 could simultaneously improve the damping properties and mechanical properties of the EHVBR/AO‐60 and EHVBR/AO‐80 hybrids. The blending ratios of EHVBR/AO‐60 = 100/60 and EHVBR/AO‐80 = 100/60 showed better damping properties and the effective damping temperature ranges were extended from 13.1 to 52.3 °C and from 16.1 to 54 °C, respectively. © 2018 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2019, 136, 47196.