The joining of dissimilar materials occurs frequently in engineering. The problem of a bimaterial interface is of particular interest for some applications where an inverse problem methodology may be applied. The main objective of this study is to account for uncertainty in the inverse problem solution. The uncertainty considered involves estimation of boundary loads, and material properties. Considering the photoelastic response of a bimaterial interface, it is possible to define several inverse problems: (a) for known geometry and applied boundary loads determine the material properties of all material components; and, (b) for known geometry and material properties determine the applied boundary loads. This paper uses both a single material circular disk and a bimaterial circular disk to explore these two inverse problems of interest. The results show that uncertainty can be satisfactorily incorporated into the inverse problem.