With the reformation of electric power market and the development of smart grid technology in China, the smart residential community which contains flexible load has become one of the crucial entities participating in demand response. This paper presents a curtailable flexible load real-time demand response scheme for the novel smart residential community, which is compatible with load aggregator, considering the uncertainties of different residential curtailable load and incorporating both the current circumstances and future trends of the demand response programs in China. The proposed scheme focuses on the curtailable load among the residential flexible load. Mixed integer linear programming and Copula based Monte Carlo simulation are combined for the hourly rolling optimization of each load to realize the real-time scheduling of residential curtailable flexible load. The proposed strategy can significantly reduce the power consumption cost, the peak load, and the total energy consumption of the residential load without interfering the residents’ comfort. The curtailable load can efficiently participate in the demand response program through the presented scheme in this paper. This work is supported by National Key Research and Development Program of China (No. 2016YFB0901100).