1. An apparatus of remote server console redirection simultaneously controlling a plurality of server computers with a baseboard management controller (BMC), the apparatus comprising: a monitoring computer, which executes a browser program and assigns one of the server computers to be controlled; and a console remote proxy service server (CRPSS), which determines whether the assigned server computer is on monitoring when receiving an image monitoring command sent out by one of the monitoring computers; wherein when the assigned server computer is on monitoring, display images of the assigned server computer are transmitted to the monitoring-computer that sends out the image monitoring command and are monitored using the browser program running thereon; and when the assigned server computer is not on monitoring, the CRPSS issues a console redirection command and a reboot command to the BMC of the assigned server computer, with the console redirection command modifying the console redirection function in the basic input/output system (BIOS) system of the assigned server computer as ON and the reboot command starting the console redirection function of the assigned server computer, the display images of the assigned server computer are transmitted to the CRPSS and, through the CRPSS, further to the monitoring computer that sends out the image monitoring command, and the display images of the assigned server computer are monitored using the browser program running on the monitoring computer that sends out the image monitoring command.