Summary.The “melting point” of fats generally means the upper limit of the temperature range through which the melting of the fat takes place, or, when determined according to empirical methods, a point very near this.When the melting point of human fats were determined according to the common methods the results were not reproducible.Therefore the melting process was investigated by following the changes during the melting process in some samples of human fat. It was found that the difficulties in the determinations on human fats were due to the characteristic that even several degrees below the real clear point only a very small fraction of solids is present. A fat as e. g. coconut oil has 3 per cent solids at 0.3° C beiow the upper limit of the melting range. In a human fat the solid fraction of 3 per cent was present at 6° C below the upper limit of the melting range. This means that the viscosity of this fat is low, even at a considerable distance below the “clear point”. Therefore the empirical “constants” which are characterized by a certain low viscosity of the sample, viz. the softening point, the slipping point etc. are found far from the clear point and varying much with small variations in the external conditions.When a sample of human fat to be used for melting point determination solidifies at 0° C heterogeneous crystals separate, which can produce large errors in the observed melting point. To avoid this the sample must be rapidly cooled down to an extremely low temperature (–70° C). In this way the fat solidifies as a microcrystalline mass which makes possible a relatively exact observation of the clear point. It was, by comparing with the dilatometric method, demonstrated that the clear point determined according to the author's procedure is really identical with the thermodynamically fixed upper limit of the melting range.The tendency of the fats to form unstable modifications with low melting points is discussed. Further it is demonstrated that srom a thermodynamical point of view the melting point and the folidifying point are identical.