A method and apparatus for providing computer network access points the capability for multiple-level accounting. A gateway device located at the access point is capable of generating Internet protocol accounting start and stop requests based on various events that need to be accounted for when a user accesses a network. These events include the user account logon, the service establishments and the Point to Point protocol (PPP) connections between the gateway device and public and private domains within the network. The counter is capable of tracking the duration of sessions and connections and the byte-count associated with the specified session or connection. The gateway device communicates with an accounting server which stores the accounting requests and matches start requests with subsequent stop requests.