An apparatus for sensing a touch pressure includes a display panel configured to display images, a window located on the display panel, the window including a display area and a non-display area at the outside of the display area, a first sensor disposed to align with the non-display area, the first sensor including a first optical filter and a first photo detector configured to generate a first sensing value corresponding to an intensity of light transmitted through the first optical filter from the display panel, and a controller configured to calculate a magnitude of a touch pressure based on the first sensing value.