A blood flow dynamic analysis apparatus acquires data from a plurality of regions lying in slices set to a subject with a contrast agent injected therein and analyzes blood flow dynamics of the subject, based on the data. The apparatus includes a contrast agent concentration profile generation device for generating profiles each indicative of a temporal change in the concentration of the contrast agent for every said region lying in the slices, a characteristic amount calculation device for calculating the concentrations of the contrast agent in the regions after a bolus of contrast agent has passed through the regions, from the profiles, a histogram generation device for generating a histogram containing the concentrations of the contrast agent in the regions after the bolus of contrast agent has passed through the regions, a region determination device for determining a region in which each vein exists, from the regions, based on the histogram, and a function calculation device for calculating a venous output function, based on a temporal change in the concentration of the contrast agent in the region in which the vein exists.