Zero-knowledge set is a set that has zero-knowledge quality.The structure of the set makes that a prover can commit to any arbitrary finite set of strings and for any string

reveal with a proof whether a given element is in the set without revealing any knowledge beyond the verity of these membership assertions.In this paper

we propose a new Group Key Distribution protocol based on zero-knowledge set and Peterson commitment so that the identity and number of the group members can be concealed and realize key distribution at the same time.The protocol not only provides a dynamic distribution on a group key

but also guarantees nobody can get additional information about other members except the group key.Compared with previous work

our protocol can provide more security

and is suitable for some special network application

such as secret network meeting.