This study represents the analysis of the data available in the literature and the author's findings concerning the issue of a shape of the dose stochastic effect curve in the range of low levels of radiation (LLR). The data obtained from radioepidemiological and experimental investigations are used. Also considered are the arguments "pro" and "contra" regarding approximation of these curves by means of a linear function (linear non-threshold conception) or as a quasi-plateau (threshold conception). The above analysis allows us to conclude that the threshold conception is more reliable than the non-threshold one from the standpoint of the analysis of postulate bases, theoretical paradigms, the mechanisms for radiobiological effects, epidemiological and experimental data. It is suggested that a separate radiogenic cancer risk estimation should be used in case of LLR and high level radiation instead of one overall estimation by means of the linear non-threshold model.
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