A medium wind-up apparatus includes a reel-out motor, which is a driving source that winds up a medium, a control portion that controls the reel-out motor on the basis of a torque limit value, which regulates an upper limit of an output torque of the reel-out motor, and a reel-out side detection portion that detects a rotation speed of the reel-out motor, in which the control portion changes the torque limit value on the basis of the detected rotation speed. In this case, it is preferable that the control portion increase the torque limit value in a case in which the detected rotation speed falls below a first threshold value, and that the control portion reduce the torque limit value in a case in which the detected rotation speed exceeds a second threshold value, which is larger than the first threshold value.