We study gaugino condensation in presence of an anomalous U(1) gauge g
roup and find that global supersymmetry is dynamically broken, An exam
ple of particular interest is provided by effective string models with
4-dimensional Green-Schwarz anomaly cancellation mechanism. The struc
ture of the hidden sector is constrained by the anomaly cancellation c
onditions and the scale of gaugino condensation is shifted compared wi
th the usual case. We explicitly compute the resulting soft supersymme
try breaking terms.