Dexter Wright Draper (May 23, 1881 – August 22, 1961) was an American college football player and coach, as well as a pediatrician.

Draper became head football coach at the University of Texas immediately following the resignation of W. E. Metzenthin in 1909.

After compiling a 4–3–1 record, including two losses to Longhorns rival Texas A&M, Draper resigned.

Draper also was the head coach for the William & Mary Tribe men's basketball team from 1913 to 1916.

[2] On August 22, 1961, Draper died aged 80 at a hospital in Lancaster, Pennsylvania after a short illness.