A medical image processing apparatus according to an embodiment includes an estimation circuitry and a tracking circuitry. The estimation circuitry is configured to estimate the activity of the myocardium across a plurality of images at different time phases from a group of images where a plurality of images containing a myocardium are chronologically arranged. The tracking circuitry is configured to set a search range for tracking the myocardium in the group according to the activity of the myocardium and perform the tracking.