  We compute the cross section for e+e- --> nu nu-bar A, where A is the CP-odd
scalar, in the general CP-conserving type-II two-Higgs-doublet model. We sum
the contributions from the ``t-channel'' e+e- --> nu nu-bar W W --> nu nu-bar A
graphs and ``s-channel'' e+e- --> Z A --> nu nu-bar A graphs, including their
interference. Higgs-triangle graphs and all box diagrams are included. For many
parameter choices, especially those in the decoupling region of parameter space
(light h and m_A, m_H, m_H^+ > 2 m_Z), the Higgs-triangle and box diagrams are
found to be of minor importance, the main contributing loops being the top and
bottom quark triangle diagrams. The predicted cross section is rather small for
tan beta > 2 and/or m_A > 2 m_t. However, we also show that if parameters are
chosen corresponding to large Higgs self-couplings then the Higgs-triangle
graphs can greatly enhance the cross section. We also demonstrate that the
SUSY-loop corrections to the b b-bar A coupling could be such as to greatly
enhance this coupling, resulting in an enhanced nu nu-bar A cross section.
Complete cross section expressions are given in the Appendices.
