Based on traditional demand theory, this study identifies constraints to the inverse demand system for Taiwan's meat demand. Firstly, the first-order differential approximation method was used to obtain an empirical model of the inverse demand system with (constraints) for five meats in Taiwan. Secondly, the iterative seemingly unrelated regression method was used to estimate that inverse demand system. The results show that the uncompensated elasticities of quantity for the five meats were negative, which suggests that when income and the demands for the other four meats remain constant, an increase in consumption of one type of meat will be associated with a decrease in price of that type of meat. In addition, among the five meats, pork was found to have the largest uncompensated elasticity of quantity, followed by chicken. According to the findings, the government should lay emphasis on the price stabilization of pork and chicken in the future.