To make the secret sharing management more effective and safe, based on the (k, n) threshold secret sharing scheme, this article propose a new concept of generalized (k, n)-secret sharing matrix, and proposed a more safe (t, k, n) threshold secret sharing scheme by generalizing the (t, k, n) threshold secret sharing matrix. This article gave the concept of the generalized (t, k, n)-secret sharing matrix, and constract a new generalized secret sharing system.