A medical image display device having a touch panel that displays a medical image, includes: a hardware processor that accepts an operation on the touch panel and detects a drag operation on a mark corresponding to a function selected from a plurality of functions； calculates a movement position of the mark according to a rule corresponding to at least one of the selected function, an object, and a user based on coordinates of a touch position in the drag operation； and causes the touch panel to display the medical image and the mark and to move the mark on the medical image based on the calculated movement position, wherein the hardware processor calculates the movement position of the mark such that a movement trajectory of the touch position and a movement trajectory of the mark are different from each other.
