  An attractive mechanism to break supersymmetry in vacua with zero vacuum
energy arose in E_8 x E_8 heterotic models with hidden sector gaugino
condensate. An H-flux balances the exponentially small condensate on shell and
fixes the complex structure moduli. At quantum level this balancing is,
however, obstructed by the quantization of the H-flux. We show that the warped
flux compactification background in heterotic M-theory can solve this problem
through a warp-factor suppression of the integer flux relative to the
condensate. We discuss the suppression mechanism both in the M-theory and the
4-dimensional effective theory and provide a derivation of the condensate's
superpotential which is free of delta-function squared ambiguities.
