Based on the wave velocity potential of sea water and marginal sea ice, a modified formula about damped traveling wave is proposed. From this formula, it is obvious that the propagation characteristics of ocean wave in marginal sea ice are affected by ice thickness, temperature, salinity and ice growth rate. Attenuation coefficient approaches a limit value of 0.99 when ice thickness increases in the range of 0.5-50 m. When ice temperature increases in the range from-18 ℃ to-3 ℃, attenuation coefficient slowly decreases, while it rapidly decreases when ice temperatures is above a critical ice temperature of-3 ℃. Both attenuation coefficient and wavelengths of damped traveling wave nearly increase linearly with the increase of ice salinity and ice growth rate. Based on the wave velocity potential of sea water and marginal sea ice, a modified formula about damped traveling wave is proposed. From this formula, it is obvious that the propagation characteristics of ocean wave in marginal sea ice are affected by ice thickness, temperature, salinity and ice growth rate. Attenuation coefficient approaches a limit value of 0.99 when ice thickness increases in the range of 0.5-50 m. When ice temperature increases in the range from -18 ° C. to-3 ° C., attenuation coefficient slowly decreases, while it Both attenuation coefficient and wavelengths of damped traveling wave nearly increase linearly with the increase of ice salinity and ice growth rate.