In this article, we propose a revocable lattice-based CP-ABE (Ciphertext-Policy Attribute-Based Encryption) scheme (RL-ABE), which is suitable to be applied in the cloud storage. The RL-ABE scheme can resist quantum algorithm attack and ensure fine-grained access control to the users' rights in achieving shared data. In addition, our scheme can realize attribute revocation, which can expediently renew users' attributes to grant or revoke their access rights. Then, we formally prove the security of our scheme based on the hardness of Ring Learning with Error problem(R-LWE) to resist quantum algorithm attack, and prove our scheme can solve security threatens to withstand collusion attacks. Finally, the performance analysis shows the high efficiency of our scheme compared with other related schemes.