Through the cryptanalysis of a signcryption scheme without bilinear pairing proposed by Gao et al. (GAO J, WU X, QIN Y. Secure certificateless signcryption scheme without bilinear pairing.Application Research of Computers,2014,31(4):1195-1198) recently, the scheme could not resist public-key substitute attacks. Then a new ID-based signcryption scheme without bilinear pairing was proposed and the proposed scheme was proved to be secure in the random oracle model under the first type attacker. Finally, a contrast analysis of efficiency was made between the new scheme and other schemes. Compared with other signcryption schemes, the new scheme uses only 3 Hash operations and 7 point multiplication operations, so it has higher computational efficiency.