A medical image-processing apparatus according to embodiments includes processing circuitry. The processing circuitry acquires volume data in which a blood vessel including a plurality of branch vessels leading to a plurality of target areas, respectively, is imaged. The processing circuitry extracts a blood vessel structure of the blood vessel included in the volume data. The processing circuitry sets a plurality of the target areas in the volume data. The processing circuitry acquires a plurality of delivery points that are points at which a drug is given to the target areas from a catheter moved inside the blood vessel based on the blood vessel structure of the blood vessel and a positional relationship between the respective target areas and the respective branch vessels in the volume data. The processing circuitry outputs the delivery points.