A self-healing mechanism in key management is an important means for large-scale clustering wireless sensor networks that enable non-revoked nodes use their private information and the received broadcast messages to recover the lost session keys on their own. In this study, we propose a dynamic self-healing key management scheme for large-scale clustering wireless sensor networks that is based on Exclusion Basis System (EBS). We use forward and backward key chains to form cluster session key chain for self-healing, take t-degree polynomial keys to replace the original keys used in EBS. The analysis shows that the proposed scheme has the properties of forward and backward secrecy and resisting to a collusion attack, which is suitable for resource-constrained wireless sensor networks.