A short drop apparatus for a vehicle door may include a door handle rotatably mounted to a door panel at a front side thereof and having an inner engaging part at a rear side thereof, a door lever including a guide to be engaged with the engaging part of the door handle to operate in response to a rotation of the door handle, a switch positioned in front of the door lever to selectively transmit a signal to open or close a window glass with a turning ON or OFF state of the switch, and a switch lever engaged to the switch and coming into contact with a front side of the door lever at front and rear sides of the switch lever, respectively, the switch lever operating simultaneously with the door lever when the door handle may be manipulated, to turn on the switch.