Abstract: Based on entropy theory and dissipative theory, the stability of Yunnan nonferrous metal industry is evaluated. According to the operation entropy, the results showed that the entropy of Yunnan nonferrous metals industry changed with a wide range in 2006-2008, and after entropy fluctuation the value has a relatively small increase compared with before. According to the timing of the evaluation results, non-ferrous metal industry in general the operation quality is declining, and the industrial stability is being weakened, the chaotic state is aggravating. By analyzing the influence factors of non-ferrous metal industry, it is speculated that this disorder is mainly due to the competition of the market, and the investment, the earnings and the financial condition also affect the stability of the industrial development.