As a measure of harmful effect of radiation, radiation exposure index (REXI) is proposed. It is an integer expression of logarithmic ratio of radiation dose to a standard value. REXI is a dimensionless quantity and is free from the requirementof additivity, in contrast with dose. Not a few kinds of doses are used in the field of radiation protection and among them the effective dose plays main role, since the main target of radiation control is of the so-called stochastic effect and the effective dose is used as the controlling quantity. Effective dose is a radiation dose, namely, a quantity of cause to describe the effect, but it cannot be a representation of the effect itself. It is nothing but a measure of possibility of the effect. In addition, the LNT (linearity and non threshold) Postulation adopted by ICRP makes it difficult to understandthe foreseen associated effect quantitatively.