A curvature measuring apparatus includes: a fixing member including: a curvature portion under the display panel, the curvature portion including a bending portion to support the display panel; and a plurality of protrusions at both ends of the curvature portion; a support adjacent to the fixing member to fix the fixing member, the support including a plurality of coupling grooves; and a measuring member above the display panel to measure a curvature of the bending portion of the display panel, wherein one of the protrusions is in one of the coupling grooves.