Abstract: With the development of the national carbon trading market, the bidding strategy of Independent Power Producer (IPP) considering carbon trading is paid more and more attention. In the carbon trading market, IPP would face the risk of uncertainty of carbon trading prices. Using the principle of risk management theory in financial field, this paper presents conditional value at risk in carbon trading market (CRM-CVaR). Based on this risk measurement index, IPP monthly bidding optimal mathematics model is established. Simulation cases compare IPP bidding optimal strategy considering CRM-CVaR with non considering this index. Meanwhile, IPP comprehensive income entropy index is defined to measure the uniformity of the distribution of the IPP total revenue. It is shown by the numerical results that the algorithm is effective and can give IPP valuable bidding strategy.