This article is concerned with the modeling and calculation of the contact layer between components joined in a multi-bolted system for assembly conditions. The physical model of the multi-bolted connection is based on a system consisting of an elastic flange component, which is joined to an elastic support using a rigid-body bolt model. The contact layer between the joined components is described by a non-linear Winkler model. A model of the contact joint with consideration of the experimental normal elastic characteristics is presented. Examples of normal contact pressure distributions are included.