FullIdent is an Identity-Based Cryptography (IBC) algorithm which is proposed by the researchers. In this paper, the authors give a new identity-based cryptography scheme based on FullIdent. Comparing to FullIdent, their new one concludes three improvements. First, there is no IDMapToPoint function when a sender encrypt message with their scheme. Second, there is no paring operation calculating works during encrypt phase in their scheme. Third, using their new scheme, it is easy to construct an identity-based cryptography system without Key Escrow Problem (KEP).