  We calculate the leading electroweak corrections to the light neutral Higgs
boson production via $q\bar q'\to WH$ at the Fermilab Tevatron in both the
standard model and the minimal supersymmetric model, which arise from the
top-quark and Higgs boson loop diagrams. We found that the leading electroweak
corrections can exceed the QCD corrections for favorable values of the
parameters in the MSSM, but such corrections are only about $-1% \sim -2%$ in
the SM, which are much smaller than the QCD corrections. For the mass region of
$90 < m_{h_0} < 120$ GeV, the leading electroweak corrections can reach -10%
for large $\tan\beta$, and these corrections may be observable at a high
luminosity Tevatron; at the least, new constraints on the $\tan\beta$ can be
established.
