Hyoepiglottic ligament
The hyoepiglottic ligament is an extrinsic ligament of the larynx connecting the epiglottis and the thyroid cartilage.

Anatomy 
The hyoepiglottic ligament is an elastic band connecting the anterior surface of the epiglottis, and the superior border of the body of the hyoid bone.

Clinical significance 
It is clinically important in performing direct laryngoscopy with a Macintosh laryngoscope blade; the blade tip is placed in the vallecula and moved anteriorly, which causes the hyoepiglottic ligament to pull the epiglottis anteriorly as well and thus expose the glottis.

References 

Ligaments of the head and neck