We present the full O(α) corrections to single Higgs production in e + e - collision. The computation is performed with the help of GRACE-LOOP where a generalized non-linear gauge fixing condition is implemented. The numerical results are checked by testing their UV and IR finiteness as well as their independence on all five non-linear gauge parameters. We find that for a 500 GeV collider and a light Higgs boson of mass 150GeV, the total correction is small when the results are expressed in terms of α rather than G μ . For a higher Higgs boson mass of 350GeV, the correction is of order -10%.