The existing identity-based hybrid signcryption schemes have either known security flaws or higher computational costs.With the vBNN-IBS signature algorithm,a new identity-based hybrid signcryption scheme was proposed.The new scheme,based on the Discrete Logarithm Problem(DLP) and the Computational Diffie-Hellman(CDH) problem on elliptic curve,did not use bilinear operation.So,the total computational costs of the new scheme were effectively reduced,and had only 7 scalar multiplication operations on elliptic curve,which were much lower than the other silimar schemes.In the random oracle model,the new scheme was verified safe enough to achieve the unforgeability and confidentiality.In addition,the paper also pointed out that the Sun et al's scheme(Sun Y X,Li H.Efficient certificateless hybrid signcryption.Journal of Software,2011,22(7):1690-1698) did not satisfy the unforgeability.