In this paper, we propose a novel hierarchy-aware ECC model termed HHECC for access control in Cloud. This model is implemented by a hierarchical and hybrid Elliptic Curve Cryptography (ECC) encryption on Cloud data. Cloud is a popular storage platform to build data center for data backup, file synchronization and resource sharing. Since accessed by various kinds of users, the Cloud storage services should be affiliated with a secure access control strategy according to its confidential protocol and privacy policy. The hierarchy feature of the scheme is achieved by one-way hash function on the key for data decryption, and the hybrid feature denotes the combination of one-way hash, Advanced Encryption Standard (AES) and ECC for a fine grained control of user access. In comparison with other schemes, the simulation experiments of data access security and efficiency show that HHECC-based hierarchical access control scheme is more efficient for Cloud data encryption and decryption, and much securer for hierarchical user access control.