Disclosed are an apparatus for detecting a vertex of an image and a method for the same detecting the vertex with the high degree of accuracy and reducing time to detect the vertex by minimizing the interaction operations of the user to detect the vertex even in a touch input part having the low degree of sensing precision. The method includes inputting a vertex position of an image, setting an ROI, detecting a plurality of edges, detecting a candidate straight line group based on the edges, and removing a candidate straight line forming forms an angle less than a critical angle with respect to a base candidate straight line set from the candidate straight line group, and determining an intersection point between a remaining candidate straight line and the base candidate straight line provided at a position making a minimum distance from the input vertex position as an optimal vertex.