The production cross section for a Wboson and two b jets is measured using proton–proton collisions at √s=7TeVin a data sample collected with the CMS experiment at the LHC corresponding to an integrated luminosity of 5.0fb−1. The W +bbevents are selected in the W →μνdecay mode by requiring a muon with transverse momentum pT\u3e25GeVand pseudorapidity |η| \u3c2.1, and exactly two b-tagged jets with pT\u3e25GeVand |η| \u3c2.4. The measured W +bbproduction cross section in the fiducial region, calculated at the level of final-state particles, is σ(pp →W +bb) ×B(W →μν) =0.53 ±0.05 (stat.)±0.09 (syst.)±0.06 (theo.)±0.01 (lum.)pb, in agreement with the standard model prediction. In addition, kinematic distributions of the W +bbsystem are in agreement with the predictions of a simulation using MadGraph and pythia