A system for Internet connections, which connects a user terminal to a network. The system generally comprises a section for relaying a network connection from a user through an access point, a monitoring section for monitoring the network connection from the user through the access point, and a network connection fee calculation section for calculating a network connection fee for the user based on a monitoring result of the monitoring unit. The connection fee calculation section comprises a line connection fee calculation section for calculating a line connection fee for a line connection made by the user to the access point based on user signal source information, which is provided from a telephone company, and a charge amount calculation section for calculating a charge amount for the user based on the line connection fee, calculated by the line connection fee calculation section.