Albert Friedrich Veiel (June 8, 1806 – August 2, 1874) was a German dermatologist who was a native of Ludwigsburg.
He studied at the Universities of Tübingen and Paris, and in 1829 earned his medical doctorate.
In 1837 at Cannstatt, he founded the first in-patient dermatological clinic in Germany.
The clinic was called the Heilanstalt für Flechtenkranke, and with orthopedist Jakob Heine (1800–1879) and others, Veiel was a catalyst in making Cannstatt an important center for medical treatment.
The clinic attracted numerous celebrities and members of European aristocracy.