Due to forward-secure-digital-signatures capability of effectively reducing loss caused by exposure of secret keys and significant in-application benefits of blind signature aiming at protecting sendersprivacy,they have been hot spots for decades in the field of cryptography.Illuminated by the integration of forward secure digital signature and blind signature,based on the variants of EIGamai and assumption of difficulty in solving the discrete logarithm problem in galois field,a forward-secure weak blind signature scheme and a forward-secure strong blind signature scheme are proposed and their security is analyzed thoroughly in this paper.It turns out that forward security,blindness and aptitude of resisting forging attack demonstrated by these two schemes benefit a lot theoretically and practically.