Inclusive associated production of a light Higgs boson (m H ≤ m t ) with one jet in pp collisions is studied in next-to-leading order QCD. Transverse momentum (p T ≥ 30 GeV) and rapidity distributions of the Higgs boson are calculated for the LHC in the large top-quark mass limit. It is pointed out that, as much as in the case of inclusive Higgs production, the K-factor of this process is large (≈ 1.6) and depends weakly on the kinematics in a wide range of transverse momentum and rapidity intervals. Our result confirms previous suggestions that the production channel p + p → H + jet → γ + γ + jet gives a measurable signal for Higgs production at the LHC in the mass range 100−140 GeV, crucial also for the ultimate test of the Minimal Supersymmetric Standard Model.13.85.-t, 14.80.Bm