The continuous auxiliary inputs leakage is more strong side-channel attacks. In this article, we first propose a continuous auxiliary inputs leakage model for the hierarchical attribute-based encryption scheme. Under the security model, an adversary has ability to gain partial updated master keys and updated secret keys continually by certain leakage attacks. Moreover, a resilient-leakage hierarchical attribute-based encryption scheme is constructed. The security proof for this scheme is provided under the standard model. Furthermore, we give the performance comparison between our scheme and relevant scheme. (C) 2016 John Wiley & Sons, Ltd.