Cultural properties are valuable objects, which have exposed insevere environment and inherited for a long time but we don’t have correct information concerning materials, structure and skill of manufacture. Because the cultural properties have been destroyed by the deterioration elements as like wind, this must be carefully treated for investigation of exhibition and storage. Even if the observation is scientific research, we must not take actual sample from the object for obtaining information concerning the nature materials and skill of manufacture. so it is elementary principle to use non-destructive investigation method as analytical methods for cultural property. This contribution discusses the present condition and problem of X-ray fluorescence acting as a representative non-destructive investigation method and the difference of statistics to be connected with determination and finally explains the intend facts for analysis of data.