PROBLEM TO BE SOLVED: To provide a medical image diagnostic apparatus and medical image processing apparatus for determining a time phase range by which volume data for each division area are composed by dividing an imaging object region into multiple areas.SOLUTION: The medical image diagnostic apparatus includes a reconstitution part 51, an area division part 52, a time phase range setting part 53, and an image generation part 54. The reconstitution part 51 acquires projection data which is obtained by imaging a subject with a contrast agent injected thereto, and generates multiple kinds of original volume data mutually different in time phase concerning the prescribed imaging object region, on the basis of the projection data. The area division part 52 sets the multiple three-dimensional division areas with respect to the imaging object region. The time phase range setting part 53 sets the time phase ranges for each division area. The image generation part 54 generates division area volume data by composing the original volume data corresponding to the time phase ranges set by the time phase range setting part 53 for each division area, generates the image of the imaging object region, on the basis of the division area volume data, and allows a display part 43 to display the image.
