Abstract: In the paper,we presented an efficient signcryption scheme with forward security based on hyper-elliptic curve cryptosystem and analyzed computational hyper-elliptic curve problem CHCP and decisional hyper-elliptic curve problem DHCP.Then we proved the confidentiality,unforgeability,non-repudiation and forward security of the scheme and compared the efficiency of the scheme with other typical signcryption schemes.In addition to the basic security of signcryption,the scheme achieves forward security with much higher efficiency.The attackers cannot get symmetric key to recover the plaintext with the secret key of signcryption,and the signcryption text before the attack also remain secure and valid.