The present paper deals with the dynamic soil-structure interaction and especially how the dynamic behaviour of foundations is influenced by their partial or full uplift from the subsoil. The so called condition of partial contact admits only pressure contact stresses. Tensile contact stresses do not occur, so an uplift of the foundation from the soil becomes possible. Obviously this problem of soil-structure interaction is a nonlinear one. In this paper a numerical approach will be presented for treating problems in conjunction with partial contact in the time domain by using the substructure method. Here the approach is elaborated for rigid foundations but can also be extended to elastic foundations without difficulties. The results given here show clearly the influence of partial uplift and demonstrate the importance of this effect on soil-structure interaction problems.