The paper proposes a trustworthy and secure HIBE (hierarchical identity-based encryption) system named T-HIBE.It generates private keys in a hierarchical and distributed manner.By using the user blinding index
user private key index and PKG private key index
T-HIBE can achieve the trustworthy private key generation and secure private key distribution.Moreover
the T-HIBE system needs one single user authentication whose accountability is traceable.Based on the standard BDH assumption
we prove that the basic T-HIBE and full T-HIBE have the IND-sID-OWE and IND-sID-CCA security respectively.