Abstract: Using dual system encryption, a attribute-based encryption scheme with hidden access structures is proposed in prime order bilinear group in this paper. The scheme relies on the D-Linear and Decision Bilinear Diffie-Hellman (DBDH) assumptions, and is proven fully secure under standard model. Moreover, it is suitable for the system with lower storage devices and higher efficiency computations because it achieves constant size private key and constant length of pairing computations.