Abstract: In 2005, Q. Li, Z. Wang, X. Mu et. al.[ Q. Li, Z. Wang, X. Mu, S. Sun. A non-interactive modular verifiable secret sharing scheme. Communications, Circuits and System, 2005(1) 84－87] proposed a new verifiable secret sharing scheme based on the Asmuth et al.’s modular verifiable secret sharing scheme. But the algorithm to share the secret is not practical and the scheme is not a multi-secret sharing. In this paper, we shall propose a novel verifiable multi-secret sharing scheme by using the improved verification algorithm. The scheme can recover several secrets parallelly and the secret shadows can be reused.