  We revise the limits on the FCNC higgses in manifestly left-right symmetric
theories. It is shown that the combination of the Kobayashi-Maskawa
CP-violation with the tree level $\Delta S=2$ higgs exchange gives very large
contribution to the CP-violating $\epsilon$ parameter. It leads to the new
strong constraint on the FCNC higgs mass, M>50- 100 TeV, enhanced by factor of
the order $\sqrt{m_t/m_c}$. Being addressed to the supersymmetric left-right
models, FCNC problem requires both right-handed scale and supersymmetric mass
parameters be heavier than 50 TeV for $tan\beta\sim 1$. The most relaxed case
corresponds to $tan\beta\sim 20- 30$ where right-handed scale can be of the
order of few TeV.
