A monitor method and a monitor apparatus for monitoring a data of hardware are provided. The data has private information, identification information and at least one first network transmission address. The monitor apparatus comprises a storage unit and a processing unit. The data is stored in the storage unit according to the identification information. The processing unit is configured to record the identification information and the at least one first network transmission address of the data in a mark information table. In response to a sending system call, when a transmission is arranged to transmit the private information of the data to a second network transmission address which is different from the at least one first network transmission address, the processing unit will output a signal to cease the transmission.