Hazel Run is a stream in northeastern St. Francois County in the U.S. state of Missouri. It is a tributary of the Terre Bleue Creek.
The stream headwaters arise northeast of the community of Hazel Run and it flows west passing about one-half mile north of Hazel Run to its confluence with Terre Bleue Creek about three quarters of a mile northeast of that stream's confluence with Big River.
The source area is at and the confluence is at .
Hazel Run was so named on account of hazel trees near its course.