  We investigate in detail the $A^{0}Z^{0}$ associated production process $pp
\to A^0Z^0+X$ within the framework of the minimal supersymmetric standard model
(MSSM) at the CERN Large Hadron Collider (LHC), considering both contributions
from the Drell-Yan and gluon fusion subprocesses. We focus on the deviations
from the general two-Higgs-doublet model (2HDM) arising in the MSSM. We also
discuss the contributions of the two $A^{0}Z^{0}$ associated production
subprocesses in the MSSM at the LHC, and analyse the dependences of the total
cross section on neutral CP-odd Higgs boson mass $m_A$ and $\tan\beta$ in the
mSUGRA scenario. We find that the contribution from loop mediated gluon fusion
subprocess can be competitive with that from the Drell-Yan subprocess in some
parameter space.
