A medical image processing apparatus according to an embodiment includes processing circuitry and an input interface. The processing circuitry obtains the spatial distribution of the wall shear stress values at each position of blood vessels. Moreover, the processing circuitry displays, from an arbitrary angle, a display image formed by assigning the wall shear stress values to a three-dimensional image. The input interface receives an input operation for changing the angle. During the display of the display image formed by assigning the wall shear stress values to the three-dimensional image, the processing circuitry changes the display form of the display image between a rotational display in which the display image is displayed while changing the angle with time, and a nonrotational display in which the angle is not changed.