An ultrasound apparatus includes a touch screen configured to display, on an ultrasound image, a touch recognition region of an object used as a measurement mark; and a controller configured to move the object and the touch recognition region, in response to an input for touching and dragging the touch recognition region, to detect, from a portion of the ultrasound image which corresponds to the touch recognition region, a line formed by connecting points at which a brightness variation of a pixel is greater than a threshold value, and to move the object to a position of the detected line by using coordinates of the detected line.