A medical image processing apparatus according to one embodiment includes processing circuitry. The processing circuitry obtains input medical image data having a larger image region than that of output medical image data resulting from image processing; generates first intermediate image data by extracting from the input medical image data an image region including a region in the output medical image data and being smaller than the input medical image data; performs first image processing to the first intermediate image data, generates second intermediate image data based on the first intermediate image data having undergone the first image processing and on image data, of the input medical image data, containing an outside of an image region corresponding to the first intermediate image data; and converts the second intermediate image data to k-space data, and converts the k-space data having undergone k-spatial processing to the output medical image data.