A computer network method for conducting payment over a network by crediting and debiting telecommunication accounts. The computer network includes a computer connected to the Internet, which performs the following functions: (1) receiving a payment request from a prospective payer; (2) confirming the request and assigning an unique transaction identifier; (3) receiving an electronic authority from the payer's telecommunication service computer indicating whether or not such request has been approved; (4) crediting and debiting payer's and payee's telecommunication accounts with their respective telecommunication service providers and (5) confirming this transaction by responding a receipt to the payer's mobile device and to payee's server.