Abstract: Based on Shamir's threshold scheme, a secret sharing scheme on access structures is proposed in this paper. Multiple secrets can be shared in each sharing session, and any qualified subset of participants can cooperate to recover these secrets at one time. Participants' secret shadows are as long as each of the shared secrets. At the same time, these shadows can be reused in multiple sharing sessions without being updated. The difference from the existing schemes is that multiple secrets instead of only one secret can be shared in each sharing session, This improves the efficiency of secret sharing and provides great capabilities for many applications. Analysis shows that this scheme is an efficient and computationally secure scheme.