  We examine, in a model independent way, the sensitivity of a Linear Collider
to the couplings of a light Higgs boson to gauge bosons. Including the
possibility of CP violation, we construct several observables that probe the
different anomalous couplings possible. For an intermediate mass Higgs, a
collider operating at a center of mass energy of 500 GeV and with an integrated
luminosity of 500 fb$^{-1}$ is shown to be able to constrain the $ZZH$ vertex
at the few per cent level, and with even higher sensitivity in certain
directions. However, the lack of sufficient number of observables as well as
contamination from the $ZZH$ vertex limits the precision with which the $WWH$
coupling can be measured.
