Cartilage tissue has a high water content. The mechanical behavior of cartilage is complicated because the components of cartilage tissue are inhomogeneous. The aim of this study is to consider the effect of Young's modulus distribution on mechanical behavior of cartilage tissue by two dimensional finite element method (FEM). In this study, Young's modulus distribution is expressed as a function of depth and time. The numerical result with Young's modulus distribution as a function of depth showed that the calculated deformed profiles immediately after loading correspond to actual profiles. The introduction of the time dependent value of Young's modulus could satisfactorily simulate the load carrying load of cartilage in the experiment.