An apparatus, method, and medium for connection to a link layer and a network layer of a wireless LAN. The link/network layer access method may include transmitting a request message requesting information for connecting a mobile node and the network layer of a wireless LAN before connection of the mobile node and the link layer of the wireless LAN is completed, and completing connection to the network layer by using information included in a response message, transmitted in response to the transmitted request message. Accordingly, by concurrently processing the process for connecting to the link layer and to the network layer of the wireless LAN, a high speed handover in the wireless LAN can be achieved.