The surgical suture cutting device contains a body having two bulging sections extended from a front end of the body, forming a notch in between. A knife is wrapped inside the body whose blade is exposed in the notch. With the blade and the bulging sections, the surgical suture cutting device can be operated with a single hand to perform both tissue pressing and suture cutting. In addition, since the blade is protected in the notch, the patient will not be mistakenly wounded. The bulging sections also provide comfortable tissue pressing. Therefore, the surgical suture cutting device greatly enhances the efficiency of the subcutaneous stitching-up operation. A simple knife wrapped in the body also allows simple and inexpensive production.