Neisseria gonorrhoeae infection is the second major cause of sexually transmitted diseases worldwide. Development of resistance to multiple classes of antimicrobials in N. gonorrhoeae has compromised treatment and disease control. Herein, we report the availability of the draft genome sequence of a multidrug-resistant N. gonorrhoeae isolate, TCDC-NG08107, which spread in groups of men who have sex with men (MSM) in Taiwan.