A computer system with an electronic lock includes an end-user unit and a mobile unit. The end-user unit has a communication port and an identification database coupling with the communication port and storing at least one identification code. The mobile unit has an identifying module with a logging code, with the mobile unit able to connect with the end-user unit through the communication port to connect the identifying module with the identification database of the end-user unit. When the mobile unit is coupled with the end-user unit, the end-user unit catches the logging code and executes an identifying process to determine whether the logging code is one of the at least one identification code in the identification database.