Woods recently returned to action at the Hero World Challenge after nearly 15 months out of action following two back operations and he finished 15th in what was a promising comeback.
However, the 14-time major winner then missed the cut at the Farmers Insurance Open before he then pulled out after the first round of the Omega Dubai Desert Classic due to back spasms.
The former world number one had targeted a return to action at the Genesis Open next week while the Honda Classic the following week was also on the agenda.
But, after further consultations with his medical team, Woods has pulled out of the two PGA Tour events in order to manage his recovery better.
He said on tigerwoods.com: "My doctors have advised me not to play the next two weeks, to continue my treatment and to let my back calm down.
"This is not what I was hoping for or expecting. I am extremely disappointed to miss the Genesis Open, a tournament that benefits my foundation, and The Honda Classic, my hometown event. I would like to thank Genesis for their support, and I know we will have an outstanding week."