  We calculate the complete next-to-leading order (NLO) QCD corrections to the
$Z^0H^0$ production in association with a jet at the LHC. We study the impacts
of the NLO QCD radiative corrections to the integrated and differential cross
sections and the dependence of the cross section on the
factorization/renormalization scale. We present the transverse momentum
distributions of the final $Z^0$-, Higgs-boson and leading-jet. We find that
the NLO QCD corrections significantly modify the physical observables, and
obviously reduce the scale uncertainty of the LO cross section. The QCD
K-factors can be 1.183 and 1.180 at the $\sqrt{s}=14 TeV$ and $\sqrt{s}=7 TeV$
LHC respectively, when we adopt the inclusive event selection scheme with
$p_{T,j}^{cut}=50 GeV$, $m_H=120 GeV$ and $\mu=\mu_r=\mu_f=\mu_0 \equiv
1/2(m_Z+m_H)$. Furthermore, we make the comparison between the two scale
choices, $\mu=\mu_0$ and $\mu=\mu_1=1/2(E_{T}^{Z}+E_{T}^{H}+
\sum_{j}E_{T}^{jet})$, and find the scale choice $\mu=\mu_1$ seems to be more
appropriate than the fixed scale $\mu=\mu_0$.
