Market design is the core issue for reducing CO 2 emissions from coal-fired power industry, however the current carbon market has some deficiencies in this area. Utilizing the combinatorial auction way, this article proposed an enhanced carbon market special for power industry by complementing current cap-and-trade system. Concretely, the enhanced market design is improved by lower-and upper-bound price, combinatorial auction for carbon allowances initial allocation, carbon submarket trade, and electricity-environment coordinated regulation. In the enhanced market, generator competes for initial carbon allowances as a form of delivering a demand function to market organizer, which can be depicted as and settled by a stochastic linear programming model. Given the carbon allowances market supply curve (i.e., total initial allowances issued), environment regulator matches the market demand curve (i.e., through adding up those individual bid demand curves together) in a uniform market clearing price (MCP) way; by this means, initial carbon market equilibrium is reached. Under this enhanced mechanism, price of bidders is ordered according to their operational advantage, moreover, respective quantity of bid allowances is also sequenced in the same way. Comparing with current cap-and-trade system, the enhanced market design can efficiently motivate generator to reduce CO 2 emissions through controlling CO 2 intensity per sold MWh. Numerical simulation further verified the efficiency of this enhanced carbon market design.