At present the thermoluminescence (TL) method has claimed particular attention because of the wide distribution of its study objects -- natural quartz and feldspars in Pleistocene deposits. Since the dating of geological deposits is connected with several specific complications, geological interpretation is of great importance while using the TL technique. The above approach was applied to the study of tens of Late Pleistocene sections on the East European plain and in the Spitsbergen archipelago. In this paper, specific factual material is analyzed and on this basis, the criteria of the reliability of dates are presented. (See also <b>AATA</b> <i>20-32</i>) -- AATA