1. A shift control apparatus of an automatic transmission, comprising: a shift point learning-correcting unit that executes learning-correction of a shift point during an upshift such that an input rotational speed of the automatic transmission reaches a predetermined target maximum rotational speed; a high acceleration time upshifting unit that executes, when predetermined high acceleration is requested, an upshift control based on the shift point in which a learning value of the shift point learning-correcting unit is reflected; and a determining unit that determines whether the learning value is reflected in the upshift control when the upshift is performed, wherein when the high acceleration is not requested, the upshift control is executed based on a reference value of the shift point, which does not reflect the learning value of the shift point learning-correcting unit, and the shift point learning-correcting unit executes the learning-correction of the shift point when it is determined that the learning value is reflected.