The present invention relates to a headrest moving device, more particularly, relates to a headrest moving device comprising: a moving member rotatably connected to a second member; and a guide member connected to the first member and guided by the first member and having a locking groove formed therein for guiding the moving member so that the number of parts of the device is significantly reduced, the weight of the apparatus can be reduced, the manufacturing cost of the apparatus can be reduced, the structure of the apparatus can be simplified since the button can be omitted, and the convenience of usage is enhanced since if a user presses one time, the headrest is positioned in a first position and if presses one more time in the same way the headrest is positioned in a second position.