The bloom of Aurelia aurita has been a serious problem for the marine ecosystem. Asexual benthic polyp reproduction plays a major role in the jellyfish bloom. The intrinsic population dynamics of polyps depend on the budding rate. Although a number of factors influence their budding rate, including the presence of predators, prey, and competitors; the temperature, salinity, of the environment; and characteristics of the settling substratum, this study uses only the temperature of the environment to examine the asexual reproduction of the Aurelia aurita polyp. The experimental data are used from[ 8,9], where the most and only matter of factor was temperature in the population growth of polyps of Aurelia aurita. The study uses the Fibonacci sequence as a simple dynamic model of asexual reproduction and proposes population growth function a(n) in which the intrinsic population growth rate of polyps is expressed as a function of time and temperature. The results obtained using the temperature data from Ansan, west sea of Korea, indicate that it is possible to predict the blooms of Aurelia aurita polyps, which may have considerable influence on the bloom of medusa by using the mean sea water temperature. The population growth rate of the asexual reproduction is very sensitive to the distribution of the seawater temperature.