The pick ended a seven-year streak of offensive players being selected first since the Texans took defensive end Mario Williams to start the 2006 draft.
Clowney was the first South Carolina player picked No. 1 overall since the New Orleans Saints took running back George Rogers in 1981.
The St. Louis Rams have the No. 2 pick followed by the Jacksonville Jaguars, Cleveland Browns and Oakland Raiders.
Notable deaths of 2014 [PHOTOS]
UPI Sports Results for September 19, 2014