The Edestidae are a poorly known, extinct family of shark-like eugeneodontid holocephalid cartilaginous fish.

Similar to the related family Helicoprionidae, members of this family possessed a unique "tooth-whorl" on the symphysis of the lower jaw and pectoral fins supported by long radials.

In addition to having a tooth-whorl on the lower jaw, at least one species of the genus Edestus had a second tooth-whorl in the upper jaw.

Edestids, along with the rest of the Eugeneodontida, are placed within the subclass Holocephali.

[1] The family disappeared in the Early Triassic.