An optical touch display apparatus includes a light-transmitting display panel, a backlight module, a visible light source, an invisible light source, an image sensing apparatus and a processing circuit. The light-transmitting display panel has a first surface and a second surface opposite to each other. The first surface has a display area. The backlight module is disposed on the second surface. The image sensing apparatus is configured to sense an image above the display area. When a pointer is located in the display area and reflects invisible light which passes through the display area so that the image sensing apparatus senses the invisible light reflected by the pointer, the processing circuit calculates the position of the pointer related to the display area according to the image sensed by the image sensing apparatus. In addition, an optical operation apparatus is also provided.