The present invention discloses a network switching apparatus and a network switching method applied for switching between a wired network unit and a wireless network unit of a computer system. Based on the network switching method, the network switching apparatus includes a wired network unit, a wireless network unit and a control unit. The wired network unit includes a plug/unplug interface responsible for a wired network transmission. The wireless network unit is responsible for a wireless network transmission. The control unit includes a logic control circuit and a logic control unit or an embedded controller, and a basic input/output system (BIOS) of the computer system is used for pre-selecting setup options of the computer system, and detecting whether a network socket is plugged in or unplugged from a plug/unplug interface, so as to turn on or off the wired network transmission and wireless network transmission.