A stereoscopic image display apparatus that is capable of being efficiently aligned using a remotely controlled alignment function and a method of displaying a stereoscopic image using the same are disclosed. The stereoscopic image display apparatus includes a polarizing beam splitter for spatially splitting image light emitted by a projector into at least one transmitted beam and at least one reflected beam based on polarized components, at least one modulator for adjusting the transmitted beam and the reflected beam such that the transmitted beam and the reflected beam have different polarization directions when a left image and a right image are projected by the transmitted beam and the reflected beam, an angle adjustment unit for adjusting the position on a screen on which the transmitted beam is projected in response to a first remote control signal, a remote-control alignment type reflecting member for adjusting the path of the reflected beam in response to a second remote control signal such that the reflected beam overlaps the transmitted beam projected on the position on the screen adjusted in response to the first remote control signal in order to form a single image, and a remote controller remotely connected to the angle adjustment unit and the remote-control alignment type reflecting member for transmitting the first remote control signal and the second remote control signal to the angle adjustment unit and the remote-control alignment type reflecting member, respectively.