Self-certified signcryption can remove key escrow problem and certification management problem. Based on Boneh and Boyen's short signature scheme, a secure self-certified sign- cryption scheme is proposed. Under the strong Diffie-Hellman assumption, the new scheme is proved secure, in which it satisfies public verifiability and existential unforgeablity. Furthermore, performance analysis shows that the proposed scheme only re- quires two pairing evaluations, so it can be used in the power and bandwidth limited environments.