Abstract: The network connecting apparatus implements an address resolution control method in conjunction with a switch on a network having a plurality of sub-nets within a single physical segment. The network connecting apparatus includes a switch 20 constituted by port control units 31 through 34, a switch control unit 35, a managing unit 36 and an address managing table 37. The switch 20 is supplemented innovatively with an address resolution control unit 47 and with an ARP request packet detecting unit 382 in a destination port discriminating unit 38 of the switch control unit 35.