A method and apparatus for setting a networked computer with a power saving on into a power saving mode in which power is selectively supplied to only those resources of the computer used in processing network interrupts. The method includes: the first step of supplying power and determining from a user the time operated with a power saving mode, and the computer is set to a first power saving mode if the access of input/output address of the resource does not occur for a predetermined time on a normal operation of the computer; the second step that the computer is set to a second power saving mode for processing an IRQ signal when the IRQ signal is generated in a state of the first power saving mode; the third step that the computer is set to a suspend mode if the access of input/output address of the resource and the IRQ signal is not detected for a predetermined time in a state of the first power saving mode, and is changed to a first power saving mode or a second power saving mode for processing an IRQ signal when the IRQ signal is generated; and the fourth step that the computer is set to a normal operation state if the access of input/output address of the resource occurs in a state of the first power saving mode or a second power saving mode. The present invention relates to the method having a power saving function which supplies power only to a basic device used in a network.
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