  We construct the first D = 4 Minkowski string theory vacua of flux
compactification which are (i) chiral, (ii) free of NSNS and RR tadpoles, and
(iii) N = 1 or N = 0 supersymmetric. In the latter case SUSY is softly broken
by the fluxes, with soft terms being generated in the gauge and chiral sectors
of the theory. In addition, the low energy spectrum of the theory is MSSM-like,
the dilaton/complex structure moduli are stabilized and the supergravity
background involves a warped metric.
