In this paper, the fundemental equation on the Trans-vector control of 3.phi. Induction motor drive and the new equivalent circuit to be adapted for this equation, have been obtained, and control drives system to be coincide with this equation is made. Therefore, it has been obtained that control scheme can always be used motor drive. 3.phi. Induction motor drive has been got the dynamic behavior the same as that of DC motor drive. The drive dynamic response is very rapid because of Trans-vector control on the I_1$ (primary current) and .${omega}_1$ (frequency of primary current) of the Induation mechine. This paper indicates that a practicality of the drive control system and the rationalty of the theory have been identified with the experimental results. The effect of parameter variations on the drive dynamic response can be evaluated from these results.