An omnidirectional-view three-dimensional display apparatus comprises a high-frame-rate projector (21), a rotatable reflector device and a cylindrical transmissive selective-diffusing screen (24). The optical axis of the high-frame-rate projector (21) is coincident with the rotating axis of the reflector device and the axis of the cylindrical selective-diffusing screen (24). The images projected by the high-frame-rate projector (21) are reflected by the reflector device to form images on the cylindrical transmissive selective-diffusing screen (24). The cylindrical transmissive selective-diffusing screen (24) can control the diffusing angle of the emergence ray, so that the left eye and the right eye of an observer can see a three-dimensional object's images in different view angles to achieve an omnidirectional-view three-dimensional display. The omnidirectional-view three-dimensional display apparatus based on the high-frame-rate projector (21) enables the eyes of observers to watch images with binocular parallax at different positions, so as to achieve three-dimensional display.