Morocconus is an extinct genus from a well-known class of fossil marine arthropods, the trilobites.

Like all Agnostida, Morocconus is diminutive and the headshield (or cephalon) and tailshield (or pygidium) are of approximately the same size (or isopygous) and outline.

The external surface of the cephalon is smooth, convex, and is hanging over an extremely narrow border.

The central raised area of the cephalon (or glabella) is evident on the internal mold by a clear defining furrow, long triangular in outline (about 1⅓× as long as the maximum width), with rounded tips and only one transverse furrow (SO).

The occipital ring (LO) is short (measured along the length of the animal), and hangs over the posterior margin.