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Power analysis attacks as side channel analysis techniques of cryptographic devices have been mounted against block ciphers and public key but rarely against stream ciphers. There are no reports on correlation power analysis (CPA) attack against stream ciphers so far. This paper proposes a novel CPA against synchronous stream ciphers. Then we present two experiments of CPA attacks on stream ciphers A5/1 and E0. The experimental results indicate that CPA of synchronous stream ciphers is feasible.