As the plasma profile around the earth varies with local time, season and solar activity, it is important to have a means to determine it in a fine time resolution. In this paper we propose a method to determine the global plasma profile from the satellite observation data. We adopt a stochastic model to represent the distribution of plasma. In the model, the parameters are determined by ABIC(Akaike Bayesian Information Criterion) deduced from observed wave data. The validity of our method was evaluated using simulated data and it is found that the given distributions are successfully reconstructed by smoothing the observation data appropriately.