In the Model of the Stochastic Vacuum the infrared behaviour of QCD is approximated by a Gaussian stochastic process in the gluon field strength. This assumption leads already to confinement for non-Abelian gauge theories. The main part of the contribution is dedicated to the application of the model to soft high energy reactions as hadron--hadron scattering and electroproduction. The special role of the odderon is also investigated.

PACS numbers: 12.38.Aw, 12.38.Lg