New Higgs Interactions in ZZ\gamma and Z\gamma\gamma Production

The effect of new operators that only modify the bosonic couplings of the Higgs boson, without altering the WW\gamma or WWZ three-point functions, are examined in the e+e- -> ZZ\gamma and Z\gamma\gamma processes. We analyse the constraints on these interactions that can be imposed by the LEP II collider at CERN and at the Next Linear Collider.