The WZ production cross section is measured in proton-proton collisions at a centre-of-mass energy $ \sqrt{s} $ = 13 TeV using data collected with the CMS detector, corresponding to an integrated luminosity of 35.9 fb$^{−1}$. The inclusive cross section is measured to be σ${tot}$(pp → WZ) = 48.09${− 0.96}^{+ 1.00}$ (stat)${− 0.37}^{+ 0.44}$ (theo)${− 2.17}^{+ 2.39}$ (syst) ± 1.39(lum) pb, resulting in a total uncertainty of −2.78/+2.98 pb. Fiducial cross section and ratios of charge-dependent cross section measurements are provided. Differential cross section measurements are also presented with respect to three variables: the Z boson transverse momentum p${T}$, the leading jet p${T}$, and the M(WZ) variable, defined as the invariant mass of the system composed of the three leptons and the missing transverse momentum. Differential measurements with respect to the W boson p$_{T}$, separated by charge, are also shown. Results are consistent with standard model predictions, favouring next-to-next-to-leading-order predictions over those at next-to-leading order. Constraints on anomalous triple gauge couplings are derived via a binned maximum likelihood fit to the M(WZ) variable.