Abstract: To further enhance the regulatory potential of distributed energy resource (DER), based on the information gap decision theory (IGDT), the bidding methods for virtual power plants (VPPs) participating in demand response (DR) strategies are divided into three strategy models: balanced, conservative and aggressive, and the robust and opportunity functions are designed for each strategy to optimize different types of decisions. Meanwhile, a ε-constraint model is set with consideration of the trade-off between carbon emissions and profits. The advantages and necessity of the proposed method were verified using an IEEE18 node system as the simulation environment. The simulation results show that the conservative VPP can ensure the minimum critical profit when the future price falls into the maximum robustness range; the progressive VPP can benefit from unexpected price fluctuations and achieve expected profits.