Woods last played a competitive round at the Dubai Desert Classic the first week of February, but withdrew citing back spasms after shooting a first-round 77.
Tiger Woods will return to competitive golf in November.
Woods, whose TGR Live organisation manages the Hero World Challenge, is joined in the field of 18 by Berger who won his second PGA tournament this year and represented the U.S. in the Presidents Cup.
His fourth back surgery came in April and he has only started hitting shots this month. He has not played in a PGA event since late January, when he shot a 76-72 and missed the cut in the Farmers Insurance Open in San Diego.More news: New 'Spider-Man' PlayStation 4 Trailer Digs into the Game's Story
An "excited" Woods has announced he will return to tournament play for the first time in nine months in the elite 18-man field for the event he hosts, and has won on five occasions.
"Albany is the flawless setting and it will be great to join this outstanding field", said Woods, who was added to the field as a sponsor exemption alongside Ryder Cup player Daniel Berger.
The field will contain the world's top four players in Dustin Johnson, Jordan Spieth, Justin Thomas and defending champion Hideki Matsuyama. Woods was given probation, and will take a DUI class.
The Hero World Challenge runs from November 30 to December 3.More news: Billionaire wealth returns to growth
In a statement released Monday, Woods said he thanked "fans for their unwavering support" during his injury.
He pleaded guilty Friday to reckless driving and agreed to enter a diversion program to settle a charge of driving under the influence that began when he was found passed out in his Mercedes.
Off the course, it's been a tough year for the 14-time major victor.More news: Charges filed in Mueller investigation into Russian meddling
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