The Magpies take on Patrick Vieira's side at St. James' Park, aiming for six successive home wins in the English top-flight for the first time since 2003/04 under Sir Bobby Robson's management.
This will be the first time the Cleveland whistler has refereed a Premier League contest involving the Magpies after overseeing two of Newcastle's Championship fixtures during the 2016/17 campaign.
The former PE teacher, who officiated his first Premier League match in December 2021, was in charge for United's 1-0 victory away at Bristol City in August 2016, booking four players that day, including former Newcastle goalkeeper Matz Sels.
Promoted to the Select Group of Referees in June 2021, he was also the man in the middle for Newcastle's 2-1 win against Cardiff City at St. James' Park in November 2016, handing out one yellow card.
In the 21 games Harrington has officiated in, across the Premier League, Championship, League Two, Emirates FA Cup and Carabao Cup, he has dished out a total of 66 yellow cards and just one red card, sending off Birmingham City's Gary Gardner in a 2-0 defeat at Hull City.
On Wednesday night, Harrington will be assisted by Ian Hussin and Mark Scholes while Kevin Friend will be the fourth official.
Craig Pawson will be the Video Assistant Referee and will be assisted by Simon Bennett.