Lockup control apparatus and method for vehicular torque converter

In a lockup control apparatus and method for a vehicular torque converter, the torque converter is controlled to be under a steady-state lockup state by a lockup clutch during a steady-state traveling state, and the torque converter is controlled to be under a coast lockup state during a coasting state where an accelerator opening angle is completely closed, and a lockup state is released when an engine speed becomes equal to or lower than a predetermined lockup release rotational speed. Moreover, an actual lockup release time between a time point when a lockup release command for releasing the lockup state is outputted and a time point when the lockup clutch becomes completely released is calculated, and the lockup release rotational speed is set on the basis of the calculated actual lockup release time.