The miniaturization and higher efficiency performances of boost converter for Electric Vehicle have been required. Now multi-phase trans-linked boost chopper circuit, which can achieve downsizing of inductor and output smoothing capacitor, have been proposed. Characteristics about mutual coupling inductor used in the proposed trans-linked converter have not been analyzed yet. This paper analyzes and evaluates characteristic about the flux in the core of the proposed coupling inductor in order to verify its downsizing. From comparison of characteristics about the flux in the core between the proposed coupling inductor and the conventional non-coupling one, core size of coupling inductor in proposed circuit being smaller than non-coupling one is confirmed.