A controller of a sheet handling apparatus (for example, banknote handling machine) stops an operation of storing a sheet in a storage bag (for example, banknote storage bag) on the condition that the number of sheets (for example, banknotes) received by a number information receiver is less than a predetermined number, when a distance between a receiver (for example, each stage) and a presser (for example, pressing plate) that is pressing the sheets stored in a storage bag which is supported by a support (for example, each holding member), toward the receiver, is greater than a predetermined distance.