In biomechanics, reliable modeling and quantification of material parameters and the study of constitutive models and computational tools concerning experimental observations of living tissue are a rapidly expanding field of research. The primary reason for this interest is the ever-growing number of real-world applications such as cardiovascular, osteoarticular, reproductive, osteoarticular, and regenerative biomechanics. In summary, the capability of biomathematical models to realistically predict the various behavioral patterns observed in soft tissue is a longstanding challenging problem. To advance towards this quest, this special issue presents recent developments in the topics including soft tissue biomechanical models, applied, computational, or theoretical tissue mechanics continuum field theory, hyperelastic and viscoelastic quasi-incompressible transversely isotropic constitutive model formulation and identification, inverse problems, or biomechanical parameter identification problems.