  We examine the potentiality of both CERN LEP and Fermilab Tevatron colliders
to establish bounds on new couplings involving the bosonic sector of the
standard model. We pay particular attention to the anomalous Higgs interactions
with $\gamma$, $W^{\pm}$ and $Z^0$. A combined exclusion plot for the
coefficients of different anomalous operators is presented. The sensitivity
that can be achieved at the Next Linear Collider and at the upgraded Tevatron
is briefly discussed.
