A. wheeleri occurs in the Middle Cambrian of the United States (Delamaran, Lower Wheeler Shale, Millard County, Utah, 40.0°N, 113.0°W;[1] and Menevian, Wheeler Formation, House Range, Utah, 39.2° N, 113.3° W).

[2] Asaphiscus are average size trilobites of (up to 8 centimetres or 3.1 inches) with a rather flat calcified dorsal exoskeleton of inverted egg-shaped outline, about 1+1⁄2× longer than wide, with the widest point near the back of the headshield (or cephalon).

The central raised area of the cephalon (or glabella) is conical in outline with a wide rounded front and is separated from the border by a preglabellar field of about 1⁄8× the length of the cephalon, and has 3 sets of furrows that may be clear or inconspicuous.

The articulated middle part of the body (or thorax) has 7-11 segments (9 in A. wheeleri), with rounded tips.

The tailshield (or pygidium) is about 30% of the body length, is semi-circular in shape, with a wide flat border, and an entire margin.