Induction motor is the most commonly used in industrial applications because it has a remarkably simple, cheap, highly reliable and robust construction. The induction motor control by varying its input according to a mathematical model of specific synchronous reference frame in a complex vector is called vector control. In vector control, a complex current is synthesized from two quadrature components, one of which to determine the flux level in the motor, and another which controls the motor torque. In order to comprehend and analyze vector control technique of induction motors, the dynamic model is the major and necessary requirement. In this paper, the dynamic modeling of the induction motor with the chosen rotor frame of reference is explained in details.