  We estimate the attainable limits on the coefficients of dimension--6
operators from the analysis of Higgs boson phenomenology, in the framework of a
$SU_L(2) \times U_Y(1)$ gauge-invariant effective Lagrangian. Our results,
based on the data sample already collected by the collaborations at Fermilab
Tevatron, show that the coefficients of Higgs-vector boson couplings can be
determined with unprecedented accuracy. Assuming that the coefficients of all
``blind'' operators are of the same magnitude, we are also able to impose more
restrictive bounds on the anomalous vector-boson triple couplings than the
present limit from double gauge boson production at the Tevatron collider.
