There are provided a medical image processing apparatus and a medical image processing method making it possible to reduce metal artifacts with no loss of a detailed structure in a metallic region. The medical image processing apparatus is configured to reconstruct a tomographic image from projection data of a subject in which metal material is included and includes a projection space correction section which corrects the projection data and thereby generates corrected projection data, an image space correction section which corrects the tomographic image by using the corrected projection data, and a coefficient setting section which sets a projection space coefficient which is used in the projection space correction section and an image space coefficient which is used in the image space correction section.