This paper studies the dynamic relationship between hardness and tensile strength of a material, through which we evaluate the tensile strength of the material for a higher temperature from the corresponding experimental data of Brinell hardness. The tensile strength of a material based on temperature is important for mechanical engineering design. It is harder and takes more time to obtain experimental data of the tensile strength than to obtain those data of the Brinell hardness of a material. The prediction model DGDM (1, 1, 1) is employed in this study. The series of Brinell hardness at equispaced intervals of temperature is considered as the leading indicator (the input series) while the series of tensile strength of the material at the corresponding temperature is taken as the output series. The result shows that the tensile strength and the Brinell hardness of a material are highly correlated and the accuracy of indirect measurement of the tensile strength is satisfactory.