  The mass parameter of orbitally excited $\Lambda_c$ baryons is calculated by
using QCD sum rule in the framework of heavy quark effective theory. Two kinds
of interpolating current for the excited heavy baryons are introduced. It is
obtained that $\bar{\Lambda}=1.08^{+0.095}_{-0.104}$ GeV for the non-derivative
current and $\bar{\Lambda}=1.06^{+0.090}_{-0.107}$ GeV for the current with
derivative. These results are consistent with experimental data.
