The invention relates to a touch display and a method for determining positions of touch points. The touch display comprises a fixed body and a deflector, wherein at least three resistance-type angular transducers are arranged between the fixed body and the deflector and generate current variations along with the deflection generated by the touched deflector; the resistance-type angular transducers are connected with a data processing device; the data processing device is used for acquiring position coordinates of the touch points according to the current variations of the resistance-type angular transducers; the fixed body is a backlight source; and the deflector is a display screen. By organically combining material mechanics with principles of electricity, compared with the built-in orexternal touch displays, the touch display of the invention has the advantages of simple structure, convenient installation, low manufacturing cost and the like, and has wide application prospects.