The WZ production cross section is measured by the CMS experiment at the CERN LHC in proton–proton collision data samples corresponding to integrated luminosities of 4.9 $,\text{fb}^{-1}$ collected at $\sqrt{s} = 7,\text{TeV} $ , and 19.6 $,\text{fb}^{-1}$ at $\sqrt{s} = 8,\text{TeV} $ . The measurements are performed using the fully-leptonic WZ decay modes with electrons and muons in the final state. The measured cross sections for $71< m_{\mathrm{Z}} < 111,\text{GeV} $ are $\sigma ({\mathrm{p}\mathrm{p}}\rightarrow {\mathrm{W}\mathrm{Z}},~\sqrt{s} = 7,\text{TeV}) = 20.14 \pm 1.32,\text{(stat)} \pm 0.38,\text{(theo)} \pm 1.06,\text{(exp)} \pm 0.44,\text{(lumi)} $ $,\text{pb}$ and $\sigma ({\mathrm{p}\mathrm{p}}\rightarrow {\mathrm{W}\mathrm{Z}},~\sqrt{s} = 8,\text{TeV}) = 24.09 \pm 0.87,\text{(stat)} \pm 0.80,\text{(theo)} \pm 1.40,\text{(exp)} \pm 0.63,\text{(lumi)} $ $,\text{pb}$ . Differential cross sections with respect to the $\mathrm{Z}$ boson $p_{\mathrm{T}}$ , the leading jet $p_{\mathrm{T}}$ , and the number of jets are obtained using the $\sqrt{s} = 8,\text{TeV} $ data. The results are consistent with standard model predictions and constraints on anomalous triple gauge couplings are obtained.