A medical image processing apparatus includes a morphological identification part, a function calculator and a display processor. The morphological identification part identifies morphological information related to thickness of a heart muscle of a subject or thickness of surrounding sites thereof from medical image data obtained by capturing an image of the subject using a medical imaging apparatus. The function calculator determines cardiac function information related to movement of the heart muscle of the subject based on the medical image data. The display processor causes a display to display a combination of the identified morphological information and the calculated cardiac function information which is identified by color. The medical image processing apparatus can easily diagnose diseases.