It connects the incisive fossa of the maxilla and the orbicularis oris muscle to the nasal septum of the nose.
It draws the ala of the nose downwards, reducing the size of the nostrils.
The depressor septi nasi muscle arises from the incisive foramen of the maxilla.
During rhinoplasty, repositioning of the head of the depressor septi nasi muscle ensures normal nose position after surgery.
[1] This article incorporates text in the public domain from page 382 of the 20th edition of Gray's Anatomy (1918)