A measurement of the tt¯ production cross section in the lepton+jets channels with the DO detector at s = 1.96 TeV using the lifetime-tagging techniques is presented. The tt¯ cross section is estimated from the combination of the e+jets and mu+jets channels. The obtained result sigma tt¯ = 7.47+1.22-1.14 (stat) +1.65-1.03 (syst) +/- 0.49 (lumi) pb is consistent with the Standard Model expectation.