This paper investigates the use of Electrical Impedance Spectroscopy (EIS) to measure the electrical impedance characteristics of bones. By employing the least squares method to fit the Cole-Cole plot, the study aims to extract characteristic parameters and explore their relationship with bone density. Fresh sheep lumbar vertebrae were used as samples, and demineralization treatment was applied to simulate osteoporosis. The impedance spectra were measured and analyzed under various treatment conditions. The results demonstrate a significant correlation between the characteristic frequency (fc) and bone density, with most data points falling within the 95% confidence interval. This finding validates the reliability and effectiveness of this method. The study indicates that EIS, combined with the Cole-Cole model, has potential applications in osteoporosis detection. It offers a non-invasive, radiation-free, and cost-effective approach for bone density assessment, providing new possibilities for the early diagnosis and monitoring of osteoporosis. This method could significantly enhance the current capabilities for osteoporosis management and treatment.