A method of displaying an elastography image and an ultrasound diagnosis apparatus performing the method are provided. The method includes transmitting an ultrasound signal to an object, receiving a response signal to the transmitted ultrasound signal, determining ultrasound image data based on the received response signal, determining displacement image data based on the determined ultrasound image data, generating elastography images based on the determined displacement image data, dividing the elastography images into sections based on a criterion, and determining a representative elastography image of each of the sections based on one or more elastography images in each of the sections and quality information of the one or more elastography images, the quality information being based on a strain of a first elastography image among the one or more elastography images. The method further includes displaying the representative elastography image.