Struggling off the tee, the 43-year-old American, followed by swathes of spectators, started with four straight pars before his game fell apart dramatically at Portrush.
Woods made four bogeys and a double bogey at the par-three sixth.
His troubles followed those of the other crowd favourite, Northern Irishman Rory McIlroy, who quadruple-bogeyed the first hole en route to an eight-over 79.
Woods found himself 11 shots behind early pace-setter Jon Rahm, who raced to five-under after only nine holes, and 10 adrift of clubhouse leader Shane Lowry.