The purpose of this study is to grasp the applicable extent and the general tendency of one dimensional frost growth model. The time change of frost height was calculated numerically using a prediction model with homogeneous and non-homogeneous properties in order to examine the effect of temperature and humidity in the atmosphere on frost phenomenon under the natural convection, and is was compared with the experimental result. The frost height calculated from the homogeneous model was high a little, on the other hand the value evaluated from the non-homogeneous model appeared low. Both models showed approximately a tendency equal to experimental result. Judging from the quantitative evaluation by RMS, the non-homogeneous model was closer to the experimental value, and was undoubtedly predominant. However, the problems are shown. It is necessary to grasp experimentally under the natural convection the distribution of properties in the frost growth direction, which are represented by the frost density, also, it is necessary to confirm the consistency with the calculation result. As for the frost height and density given as an initial value for the calculation, it is necessary to clarify that the value in the natural convection differs from the value in the forced convection.