According to one embodiment, a medical image processing apparatus includes processing circuitry. The processing circuitry extracts a core line of a tubular structure from three dimensional medical image data. For each section of interest of a plurality of sections of interest, the section of interest crossing the core line, being a tubular cross-section of the tubular structure, and including a portion of interest, the processing circuitry sets a straight line in the section of interest crossing the core line and passing through the portion of interest included in the section of interest as a first cut-off line. Further, the processing circuitry sets a curved plane such that the curved plane passes through a plurality of first cut-off lines being set in the corresponding plurality of sections of interest, and the processing circuitry generates a reconstruction image along the set curved plane.