The invention relates to a shift control apparatus for an automatic
transmission, that executes a torque reduction control when the
transmission executes a second downshift in response to a second
downshift determination made during first downshift. The shift control
apparatus includes a multiple shift execution unit that starts the second
downshift operation in response to the second downshift determination,
and a torque reduction control execution unit that executes a torque
reduction control when the rotational speed of the input member is
increased to at least a predetermined first determination speed, which is
determined in accordance with a shift ratio of a gear stage after the
second downshift operation, after the second downshift starts. This
allows the rotational speed of the input shaft to be quickly changed to
the appropriate synchronous rotational speed. Thus, the desired driving
force is provided upon completion of the second downshift without
overspeeding the engine.