A medical image processing apparatus comprises a structure identifying part, an image generator, and a display controller. The structure identifying part identifies a tubular structure inside a subject and a core line in the axial direction of the tubular structure based on medical image data. The image generator generates medical images when viewing a predetermined observation object from a desired view point position inside the tubular structure. The display controller causes the display to display medical images. Furthermore, at each timing, the image generator identifies view point position at which the relative distance between the position of the observation object and the view point position becomes even among each of the timings, and generates a medical image from the view point position for each timing. Moreover, the display controller causes the display to display a plurality of the medical images generated for each of the timings in chronological order.