This news comes just days after the Pittsburgh Steelers released Harrison from the team.
The team had not announced any transactions Tuesday as of 5 p.m. ET.
Harrison, 39, visited the Patriots on Tuesday after clearing waivers on Monday to become a free agent.
Harrison confirmed the move, posting a photo with himself and Tom Brady, captioned: "Finally". Harrison also came up big in the Steelers' past two playoff runs with multiple sacks. He was released by the Steelers on December 23.
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The Patriots have been thin at defensive end/outside linebacker for most of the season. To make room for Harrison, the Patriots released linebacker Trevor Reilly.
The Patriots and Steelers are both 12-3 and have wrapped up first-round byes. Marquis Flowers played great in Sunday's win over the Bills in Van Noy's absence, leading the team with 10 tackles and 2.5 sacks, but the Pats could use more depth at linebacker without Dont'a Hightower.
New England, which won the AFC East for a ninth consecutive season, can wrap up the AFC's top seed with a win over the Jets this weekend or a loss by the Steelers, who host winless Cleveland.
Pittsburgh cut Harrison on Saturday, Dec. 23. He'll now have a chance to chase his third Super Bowl ring with a new team.