PROBLEM TO BE SOLVED: To provide a medical image processing apparatus and a medical image processing method capable of automatic selection of deletion or correction, or no processing.SOLUTION: A medical image processing apparatus 1 corrects a curve 40 on a plane by a user moving a decision cursor 30. The medical image processing apparatus 1 includes: a correction processing means for correction of smoothing by deleting a part of the curve 40 if the length of a part where the curve 40 and the decision cursor 30 overlap with each other is longer than a prescribed length and a passing processing means for performing only a process of letting the decision cursor 30 pass if the length of the part where the curve 40 and the decision cursor 30 overlap with each other is shorter than the prescribed length.
