We propose pure quantum parton model of soft interactions. The model is based on soft partons which interact eikonally and locally in a transverse plane. We directly construct S-matrix operator and partons Fock space using developed method of discretization of a transverse plane. Counting inelastic states we explicitly derive AGK cancellations and cutting rules from relation between inclusive and exclusive parton distributions. We also discuss black disk behavior from the point of view of our model.