Data sharing plays an increasing important role in cloud service. With the help of cloud computing platform, the data sharing becomes easy. In order to ensure data confidentiality, data should be encrypted before uploading to the cloud servers. In this paper, a new comparable encryption scheme is proposed. The comparison of encrypted data is extended to multi-user scenarios in our scheme. And the access control based on attribute-based encryption is also introduced in the proposed scheme. The data encrypted by different keys should be transformed into comparable form before the comparison operations. And the user, whose attributes satisfies the access policy, can convert the data into comparable form. Experimental data shows that our scheme is practical in cloud computing.