In a sheet handling machine (for example, a banknote handling machine) including a plurality of mounting units, a controlling unit controls a transporting unit and temporary storage units to perform parallel processing mode such that a storage operation for sending a sheet held by a first temporary storage unit among the plurality of temporary storage units to a storage member (for example, a banknote storage bag) and a transport operation for transporting the sheet from the transporting unit to a second temporary storage unit different from the first temporary storage unit are performed in parallel.