In the ciphertext-policy attribute based encryption (CP-ABE) scheme, a private key holder is related with a set of attributes while the data is encrypted under an ac- cess structure defined by the data provider. In most pro- posed schemes, the characteristics of the attributes are treated as same level. While in the real world circum-stance, the attributes are always in the different levels. In this paper, In this paper, a scheme is proposed un- der a different hierarchy of attributes with the name of ciphertext-policy hierarchical attribute based encryption. The CP-HABE scheme is proved to be secure under the decisional q-parallel bilinear Diffie-Hellman exponent as- sumption, which can be considered as the generalization of the traditional CP-ABE.