  In this article, we study the ${1\over 2}^{\pm}$ and ${3\over 2}^{\pm}$
triply heavy baryon states in an systematic way by subtracting the
contributions from the corresponding ${1\over 2}^{\mp}$ and ${3\over 2}^{\mp}$
triply heavy baryon states with the QCD sum rules, and make reasonable
predictions for their masses.
