Identity-Based hybrid signcryption can efficiently encapsulate symmetric key and securely transmit data. Aiming at high computational complexity problem that exists in the existing identity-based hybrid signcryption schemes, this article integrates identity-based hybrid signcryption and bilinear maps in elliptic curve cryptography(ECC), and constructs a novel identity-based hybrid signcryption(IBHS) scheme using ECC. In the random oracle model, the paper proves that the constructed scheme satisfies the confidentiality under the co-bilinear Diffie-Hellman assumption and unforgeability under the co-computational Diffie-Hellman assumption. Since this scheme has low communication cost and high computational efficiency, it can be more practical in cryptography.