  We examine a method of studying the Z polarization in $H\to ZZ \to \ell^+
\ell^- \nu \bar{\nu}$ in proton-proton collisions at the Large Hadron Collider
(LHC). Included are the dominant contributions: gluon fusion production of the
Higgs boson, continuum production of Z pairs, and the Z+missing jet QCD
background. The polarization signal is distinguishable from the background for
Higgs masses less than or equal to $\sim 700$ GeV, for an integrated luminosity
of 10^5 pb^{-1}.
