A medical image processing apparatus according to an embodiment includes processing circuitry. The processing circuitry is configured to obtain medical image data related to a coronary artery of a subject. The processing circuitry is configured to derive a value of a blood flow parameter indicating hemodynamics of the coronary artery, on the basis of the medical image data. The processing circuitry is configured to display information indicating a change in the value of the blood flow parameter along the coronary artery, by using a graph of which the vertical axis expresses values of the blood flow parameter and of which the horizontal axis corresponds to the distance direction along the coronary artery and is configured to further display supplementary information indicating the structure of the coronary artery together with the graph.