A media processing apparatus includes a media transporter, a stacking portion on which media are stacked, a binding processing portion that binds an upstream end portion of a media bundle, a pair of ejection rollers that eject the media bundle, and a displacement mechanism that displaces a first roller of the pair of ejection rollers to a nipping position at which the media bundle is nipped and a separated position at which the first roller is separated from the media bundle, in which, when the media bundle, the upstream end portion of which is closed, is to be ejected from the stacking portion, the first roller is disposed in the nipping position and ejection of the media bundle is started, the first roller is displaced to the separated position during ejection of the media bundle, and, thereafter, the first roller is disposed again at the nipping position.