1. A three-dimensional (3D) space touch apparatus, comprising: an infrared Light-Emitting Diode (LED) array; left and right infrared cameras; a support that supports an the infrared LED array and the left and right infrared cameras; wherein the infrared LED array emits infrared rays forming an infrared screen in a space above the support; wherein the left and right infrared cameras disposed on left and right sides of the support so that lenses thereof can be oriented to the infrared screen; and a space touch sensor module that calculates X-, Y- and Z-axis coordinates of a location of the infrared screen, touched by user pointing means, using images captured by the left and right infrared cameras and information about resolutions and angles of view of the left and right infrared cameras.