Officers late Monday responded to a Killeen apartment after getting a 911 call about a shooting. Officers found Wyatt at the residence, with a gunshot wound to the chest area.
Justice of the Peace Bill Cooke pronounced Wyatt dead shortly after midnight Monday, as the soldier was being transported to a hospital. An autopsy has been ordered.
A Fort Hood spokesman, Tyler Broadway, on Tuesday declined to release a hometown or further details on Wyatt.