  We present the results for the associated production of Higgs boson with
vector boson computed at threshold N$^3$LO in QCD. We use the recently
available result on the threshold contributions to the inclusive Drell-Yan
production cross-section at third order in strong coupling constant. We have
implemented it in the publicly available computer package vh@nnlo, thereby
obtaining the numerical impact of threshold N$^3$LO contributions for the first
time. We find that the inclusion of such corrections do reduce theoretical
uncertainties resulting from the renormalization scale.
