"Journalistically and ethically, can you sink any lower?"
Woods insisted he had a good sense of humour and was "more than willing" to laugh at himself but believes Jenkins' piece had gone too far.
"In this game, you have to," he wrote. "I've given lots of interviews to journalists in all that time, more than I could count, and some have been good and some not so much.
"All athletes know that we will be under scrutiny from the media. But this concocted article was below the belt," said Woods, who has been out of action since missing the cut at the PGA Championship in August as he recovers from a back injury.
Jenkins headlined his column "My (Fake) Interview With Tiger", followed by an asterisk and the sub-title: "Or how it plays out in my mind".
In the article, the 84-year-old Jenkins breached the topic of Woods' car crash in late 2009 that led to revelations about his numerous extramarital affairs and the disintegration of his marriage.
Q. You haven't talked about it, but after all of those New York Post front pages during the scandal, what's the moral of your story?
A. That's easy. Don't get caught.
Q. You named your yacht Privacy. Because you're a worldwide celebrity, do you really expect and demand privacy?
A. I thought about renaming it Serenity, but that pretty much went out the door when the nine-iron hit the window of the Escalade.
Jenkins goes on to address Woods' drought in the majors, turning it into a personal dig.
Q. Not sure you're aware of this, but back when you were at the top of your game I was also the guy who said only two things could stop you from winning more majors than Jack [Nicklaus]: injury or a bad marriage.
A. You wrote that?
Q. In a moment of brilliance, yes.
A. You nailed it.
Following Woods' written response, Jenkins tweeted: "My next column for Tiger: defining parody and satire. I thought I let him off easy."