A new secret sharing scheme with privilege subsets based on LUC cryptosystem is proposed. In the scheme, each participant′s private key is used as his secret share, the secret dealer doesn′t have to distribute each participant′s secret share, and each participant can share many secrets with other participant by holding only one shadow, the scheme is there fore effective. In the recovery phase, each participant is allowed to check whether another participant has provided the true information, the security is then strengthened. The security of the scheme is based on LUC cryptosystem and (t, n) threshold scheme, the analytical results show that the scheme is effective and security in entirety.