Certificateless encryption attracts a lot of attention so far by eliminating the key escrow problem in identity-based encryption and public key certificates in the traditional public key cryptography. By considering the threat from the key exposure, it is desirable to incorporate the idea of key-insulated cryptosystem into the certificateless encryption. In this paper, we have designed an efficient certificateless keyinsulated encryption（CL-KIE） scheme to achieve this goal. By our approach, the computational performance of our scheme has been improved significantly in terms of reduction on running time and storage. We also gave the security proof of the new CL-KIE scheme against the chosen plaintext attacks（CPAs） in the random oracle, considering the assumption of the computational Diffie-Hellman（CDH） problem.
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