Carbon markets were set up with the aim to achieve carbon reduction target and sustainable development. However, market risk has become one of the key factors influencing continuous development of carbon markets. Different from traditional financial asset price, carbon price has a heterogeneous characteristic in its tail distribution. The current value at risk (VaR) model with student t or generalized error distribution (GED) cannot describe the asymmetric tail distribution of carbon price. Therefore, this article propose to develop a combined model for China's carbon market risk measurement. First, extend generalized autoregressive conditional heteroscedasticity (GARCH) with standardized standard asymmetric exponential power distribution (SSAEPD) to reflect volatility clustering phenomenon and heterogeneous distribution character of China's carbon price. Then, genetic algorithm (GA) was innovatively used to solve GARCH-SSAEPD linear programming instead of interior-point algorithm. Finally, use VaR to measure the carbon market risk. The new model (GARCH-SSAEPD-GA-VaR) is implied to China's carbon market and compared with the traditional GARCH-VaR model, the empirical results show: (a) Compared with current VaR framework, the GARCH-SSAEPD-GA-VaR model we constructed can help describe the heterogeneous tail distribution of carbon price and help increase the precision of carbon market risk measurement. (b) SSAEPD can capture fat-tail, asymmetric effects of China's carbon