The presenter in the "How to Disable SSH on Cisco Router" YouTube video demonstrates the process of disabling Secure Shell (SSH) on a Cisco router that already has it enabled. To disable SSH, the user must enter the global configuration mode by typing "config" followed by "crypto." To remove the existing SSH keys, the user can utilize the "generate" or "RSA key 0 i" command, respectively, and confirm the key removal. Once the keys are removed, SSH will be disabled, and the user is advised to create new keys of at least 768 bit sizes. The video concludes with a reminder to check the SSH status using the "show crypto key-pair" command, which will display the output as "disabled."