A device management apparatus is connected to a plurality of devices via a network and includes a processing unit. The processing unit includes a trap setting part that defines a trap setting of each device, a storing part that stores device information of each device, transmitted by a trap processing of each device, in a predetermined storage area of a storage device as device management information of management object devices, and an excepting part which deletes device information of a device from the device management information. When an exception request for excepting exception devices from the management object devices is received, the trap setting part changes a trap setting of each exception device to an OFF state and the excepting part deletes device information of each exception device from the device management information.