A packet transfer scheme in a network system capable of realizing a high speed, large capacity inter-network communication under an internet environment. A network interconnection apparatus (router) has a memory for storing a correspondence relationship between a virtual connection used in receiving a packet from one logical network and a virtual connection used in transmitting a packet to another logical network, and a transfer at a datalink layer is carried out according to the registered correspondence relationship, to effectively form a bypass pipe capable of transferring a packet by an datalink layer level processing alone over a plurality of networks from the transmission terminal to the destination terminal, so that a high speed packet transfer between networks can be realized.