Various devices have been developed to characterize viscoelastic properties of cartilages using creep indentation, such as the Creep Indentation Apparatus (CIA). This apparatus allows for viscoelastic creep testing of cartilage in situ, without the need of removing cartilage from its bone substrate. The first aim of this study was to assist the construction and validation of a new design for an apparatus for creep indentation. Central to this work was the use of data acquisition and control software (LabView). A new code was written to use with the newly designed CIA. To compare the new code to the old code written for the original CIA, multiple agarose gel 4% samples were tested in the original CIA. The results showed no significant difference in the mean tissue properties (aggregate modulus, Poisson's ratio, and permeability) between the new code and the old code. An a posteriori power analysis indicated that these values are essentially identical to each other. To compare the new CIA to the original CIA, agarose gel samples were also used. The results showed no significant difference in the mean tissue properties using the new CIA and the original CIA. Similarly, an a posteriori power analysis was performed demonstrating similarity in the tissue properties between the new CIA and the original CIA. Musculoskeletal soft tissues such as the temporomandibular joint disc fibrocartilage, cartilages in the facet joint, and ear cartilage possess unique biomechanical characteristics dictated by the interaction between the fluid and solid phases of these tissues. The biphasic model has been used extensively with the assumption that testing is performed under infinitesimal deformation. However, strains often exceed 10%, necessitating additional biomechanical models capable of accounting for this level of finite deformation. The study's second aim consisted of three parts: 1) to test three different tissues, including the temporomandibular joint disc fibrocartilage, ear cartilage, and facet joint under creep indentation using the new CIA; 2) to develop a hyperelastic biphasic model of cartilage using finite element analysis software; and 3) to compare the mechanical properties of the three cartilages using the hyperelastic biphasic model to the biphasic model under infinitesimal strain. In the facet joint, both models resulted in an excellent fit of the experimental data. However, in the ear cartilage and temporomandibular joint disc fibrocartilage, the best fit was achieved by hyperelastic biphasic model. Then, a Pearson’s product-moment correlation statistical test was performed to obtain a correlation between tissue properties (permeability and aggregate modulus), derived from each of the two models (hyperelastic biphasic and linear biphasic) for all three tissues (TMJ disc, ear cartilage, and facet joint cartilage). The results proved a strong correlation between aggregate modulus for all three tissues derived from hyperelastic biphasic and linear biphasic models. The results also showed a strong correlation between permeability for all three tissues derived from hyperelastic biphasic and linear biphasic models. Lastly, the one-way analysis of variance result showed a statistically significant difference in the mean aggregate modulus and Poisson's ratio between the three cartilage samples, temporomandibular joint disc (fibrocartilage), ear cartilage (elastic), and facet joint (hyaline cartilage). The result from one-way analysis of variance showed no statistically significant difference in the mean permeability between these three cartilages.