The defending champion took 44 shots on the outward nine and, although he recovered slightly with three birdies in five holes following the turn, two more bogeys followed as he signed for a seven-over-par 79.
World number two Rory McIlroy, meanwhile, was well down the leaderboard having earlier completed his second round with a four-under-par 69 to survive the cut, which was made at three over.
The big news surrounded Woods though as the 14-time major winner had a day he will quickly want to forget.
Starting on the back nine at Muirfield Village in Ohio, Woods carded double-bogeys on the 12th and 15th, a bogey on the 17th and then a treble-bogey seven on the 18th to reach the turn in an incredible eight over par, leaving him nine over for the competition and in last place overall.
He tried to fight back on the inward nine with those three birdies but further dropped shots at the sixth and ninth - his last - left him in the bottom four.
Of some consolation to the reigning champion is that he did at least manage to avoid his highest round of his PGA Tour career, which was the 81 he shot at the 2002 British Open.