In this study, a double wishbone suspension mechanism is modeled attached to a body representing a quarter-car. Quarter car models have been studied extensively in the literature using lumped parameter models usually represented as simple systems made of sprung masses, springs, dampers and unsprung masses. In reality suspension mechanisms consists of control arms, which contribute significantly to the response of the overall system. Considering more complex models system including suspension mechanism usually simulation software are used. The main purpose of this study is to derive and to develop the quarter car's mathematical model including a suspension mechanism in matrix form, and to use this model simulating and investigating various types of studies.