  In this talk I consider QCD sum rules for the ground state heavy baryons to
leading order in $1/m_Q$ and at next-to-leading order in $\alpha_S$ within the
context of Heavy Quark Symmetry. The analysis is done at a fixed scale $\mu=1
GeV$. The evolution behaviour of the residues is determined by the two-loop
anomalous dimension of the heavy baryon currents calculated earlier. I compare
the diagonal, non-diagonal and constituent type QCD sum rules and show that the
diagonal sum rules are the most reliable one. As central values for the bound
state energies I find $m(\Lambda_Q)-m_Q=760 MeV$ and $m(\Sigma_Q)-m_Q=940 MeV$.
The central values for the residues are given by $F(\Lambda_Q)=0.030 GeV^3$ and
$F(\Sigma_Q)=0.038 GeV^3$.
