The spring constant (regression coefficient of force to length of a coil spring) changes with the environment temperature. In this study, new measurement system for small regression coefficients of temperature, “γ” to spring constant of materials for scale springs is developed. The new system (S-E system) measures the natural frequency of self-excited vibration of the spring-weight component instead of their elongation. The accuracy of the system is enough to measure the regression coefficient smaller than 0.1% which is the value required for the scale spring. The S-E system also provides a simple measurement procedure compared to the previous forced-vibration (F-V) method.