A device management system and a device management method are provided, each of which: receives status information indicating a status of a relay device from the relay device, the relay device being connected with one or more devices in a local network via a firewall; based on a determination that the received status information satisfies a predetermined condition, obtains instruction information associated with the predetermined condition, the instruction information indicating a predetermined process to be executed by the relay device; and transmits the obtained instruction information to the relay device to cause the relay device to execute the predetermined process.