We report on the first computation of the next-to-next-to-leading order (NNLO) QCD corrections to $W^{pm}Z$ production in proton collisions. We consider both the inclusive production of on-shell $W^{pm}Z$ pairs at LHC energies and the total $W^{pm}Z$ rates including off-shell effects of the $W$ and $Z$ bosons. In the off-shell computation, the invariant mass of the lepton pairs from the $Z$ boson decay is required to be in a given mass window, and the results are compared with the corresponding measurements obtained by the ATLAS and CMS collaborations. The NNLO corrections range from 8% at $sqrt{s}$=7 TeV to 11% at $sqrt{s}$=14 TeV and significantly improve the agreement with the LHC data at $sqrt{s}$=7 and 8 TeV.
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