This paper presents the methods of developing a finite-element (FE) mechanical contact model to simulate the interaction between human breasts and a well-fitting bra. In the FE model, the human breasts are modelled as hyper-elastic material, and the bra is meshed as elastic beam and shell. The FE contact model between the breasts and the bra is defined as a contact pair. The mathematical formulation describes the strain–stress contact mechanics of the 3D human body and the bra under pre-tension. The simulation results provide a fundamental guideline for the calculation of the force mechanics of any body–garment interaction.