It is desirable to design a structure and its members with a reasonable reliability. This study is intended to propose a method of estimating the reliability of the flexural design strength of double reinforced concrete member with a rectangular section by using the probabilistic method, considering variations in strength of reinforcing bars and concrete. This method is an advanced one from the method proposed previously for the strength of single reinforced flextural member with a specified reliability. By applying this method, the strength values provided in the ACI and JSCE Codes for various combinations of both materials used in general were evaluated. It has been proved that the strength defined by the ACI Code is partly insufficient to obtain a specified reliability in case of high steel ratio, whereas that by the JSCE Code is satisfactory for any comoration.