Induction Motors (IM) have been successfully used when variations of speed are required. The strategy preferred to control speed and torque accurately is based upon vector control.In this study, a new approach based upon Differential Evolution (DE) was developed in order to design a 55kW Induction Motor for variable speed applications, posteriorly, the performance of the final design was validated by means of Finite Element Method (FEM). Through simulations of Indirect Field Oriented Current Control (IFOCC) strategy, its behavior under variations of speed and load is verified.It was proved that by appropriately defining the constraints as well as cost functions, satisfactory geometries were obtained, which demonstrated maximum values of torque density. As a result, the algorithm based upon DE has capability of leading the induction motor geometry so that the machine behaves as expected when it is controlled by variable voltage and frequency.