Amphiaspididae is a family of extinct amphiaspidid heterostracan agnathans whose fossils are restricted to Lower Devonian marine strata of Siberia near the Taimyr Peninsula.

Amphiaspids are easily distinguished from other heterostracans in that all of the plates of the cephalothorax armor are fused into a single, muff-like unit, so that the forebody of the living animal would have looked like a potpie with a pair of small, or degenerated eyes, with each flanked by a preorbital opening, and a simple, slit-like mouth.

Amphiaspis argo is the type species of Amphiaspidida, and is known from an incomplete set of pillow-shaped cephalothoracic armor.

The armor also appears to have a pattern of lateral sensory line canals.

Amphoraspis stellata has a broad, rounded armor that looks vaguely like a pot or vase.