In this present study, the design and simulation of an electric vehicle again commonly being started to be used in twenty-first century have been carried out by Matlab program. A full-electric vehicle has been used as a model. In modeling, the dimensions of a vehicle suitable for use and the technical features of an electric motor used in today's electric vehicle technology have been utilized. In this model, a DC motor for the propulsion of the electric vehicle, a battery with sufficient quality as a source of energy and Urban Dinamometre Driving Schedule (UDDS) city cycle as a cycle has been used. According to this cycle, forces make the vehicle move and resistance forces preventing its movement have been calculated. Besides, a data file which describes the movement characteristic of the vehicle has been composed. This file brings also simultaneously the rates of power and torque which the vehicle needs. For the same cycle, torque, power and current changes of the electric motor used for the propulsion of the vehicle have been obtained depending upon time.