"Physically I just couldn't do it, I wouldn't be ready," Woods told Sky Sports News. "I just couldn't help the team. It was time to shut down, get stronger, get more explosive again and get back for next year."
Woods, who has competed for the US seven times, needed a captain's pick to take part this year after missing the cut at the US PGA Championship almost a fortnight ago.
The tournament between the US and Europe will get underway on September 23 in Scotland.