The Oklahoma Department of Emergency Management spokeswoman Keli Cain could not provide details about the victim's gender or age Monday.
Two men and three children were also killed in the tornado that hit the town in the early hours of Sunday, part of a storm system that stretched from Texas to Minnesota and spawned more than 120 twisters.
Authorities said warning sirens that did not sound in Woodward may have been disabled when lightning hit the control tower.
The National Weather Service's Storm Prediction Center in Norman, Okla., took the unusual step of warning the region more than 24 hours in advance of a possible "high-end, life-threatening event."
(Copyright 2012 by The Associated Press. All Rights Reserved.)