The basic problem in the finite element analysis of parts made of hyperelastic materials is the identification of mathematical material model coefficients. Furthermore, selection of a suitable mathematical hyperelastic material model may not be straightforward. In this study, a systematic design methodology is presented for hyperelastic suspension jounce bumpers. The presented methodology involves a critical examination of material testing procedures, material model selection, and coefficient identification. The identified material model coefficients are verified through comparison of the finite element analysis results with actual tests.