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In comparison with traditional power grid system, smart power grid has the feature of distributed energy control with large amount of information transmission. Because the grid needs to collect users' usage data, privacy becomes a critical issue. Therefore, providing an efficient privacypreserving demand response scheme is vital to smart grid. We propose an efficient privacypreserving demand response scheme achieves confidentiality and integrity. The model transmits both real usage data and the future demand data for analyzing, comparing, and adjusting the generation and usage of electricity. In addition, updating keys can ensure users' data to be forward secrecy, and signature aggregation can reduce computation cost. The performance comparison with another scheme which also achieves key updating, shows that our scheme is more efficient in terms of computation and communication overhead; thus helping users save energy and maintain supply-demand balance.