A measurement of inclusive W and Z production cross sections in pp collisions at $ \sqrt {s} = 7 $ TeV is presented. The electron and muon decay channels are analyzed in a data sample collected with the CMS detector at the LHC and corresponding to an integrated luminosity of 36 pb−1. The measured inclusive cross sections are σ(pp → WX) × $ \mathcal{B}\left( {{\text{W}} \to \ell \nu } \right) $ = 10.31 ± 0.02 (stat.) ± 0.09 (syst.) ± 0.10 (th.) ± 0.41 (lumi.) nb and σ(pp → ZX) × $ \mathcal{B}\left( {{\text{Z}} \to {\ell^{+} }{\ell^{-} }} \right) $ = 0.974 ± 0.007 (stat.) ± 0.007 (syst.) ± 0.018 (th.) ± 0.039 (lumi.) nb, limited to the dilepton invariant mass range 60 to 120 GeV. The luminosity-independent cross section ratios are (σ(pp → WX) × $ \mathcal{B}\left( {{\text{W}} \to \ell \nu } \right) $ /(σ(pp → ZX) × $ \mathcal{B}\left( {{\text{Z}} \to {\ell^{+} }{\ell^{-} }} \right) $ = 10.54 ± 0.07 (stat.) ± 0.08 (syst.) ± 0.16 (th.) and (σ(pp → W+ X) × $ \mathcal{B}\left( {{{\text{W}}^{ + }} \to {\ell^{+} }\nu } \right) $ /(σ(pp → W− X) × $ \mathcal{B}\left( {{{\text{W}}^{-} } \to {\ell^{-} }\bar{\nu }} \right) $ = 1.421 ± 0.006 (stat.) ± 0.014 (syst.) ± 0.029 (th.). The measured values agree with next-to-next-to-leading order QCD cross section calculations based on recent parton distribution functions.