Abstract: A system for Internet connections, which connects a user terminal to the network. The system comprises: a terminal server for assigning a predetermined IP address to the user terminal and connecting this user terminal to a request Web site through an Internet network; a certification server for outputting IP address usage information of the user as well as performing a certification for the user who accesses the terminal server; a substitute server, through which the Internet connection is routed when the user terminal is connected to the request Web site in order to record/output an access log for the Web site accessed by the IP address; and an update server for referencing the access log, recorded/output by the substitute server, and the IP address usage information, output by the certification server, to thereby output the Web site in association with the user who accesses this Web site.