In the Minimal Supersymmetric Standard Model (MSSM) we calculate the corrections to neutral CP-even Higgs-boson production in the W W -fusion and Higgsstrahlung channel, e + e − →νν {h, H}, at a future Linear Collider, taking into account all O(α) corrections arising from loops of fermions and sfermions. For the production of the lightest MSSM Higgs boson, h, we find genuine loop corrections (beyond the universal Higgs propagator corrections) of up to −5%. For the heavy CP-even neutral Higgs boson, H, which shows decoupling behavior at tree level, we find nonnegligible corrections that can enhance the cross section considerably in parts of the MSSM parameter space. At a center-of-mass energy of √ s = 1000 GeV, heavy CPeven Higgs-boson masses of up to M H 700 GeV are accessible at the Linear Collider in favorable regions of the MSSM parameter space. * email: hahn@feynarts.de †