Specific designs of clinched joint groups are mostly engineered on the basis of empirical experience of designers and the accuracy of the design is often verified in the testing laboratories of manufacturers of clinching tools. Therefore, the problem of clinching is often mastered for a one specific type of joint. The designs of joint groups are often based on the properties of an individual joint in two basic directions [1] without considering the possibility of their mutual interaction [2]. This contribution is based on the measurement of possible parasitic stress arising in the groups of clinched joints during their production. Within the work, experiments are designed and performed in order to determine the presence and possible size of the above-mentioned interaction.