Last season's Premier League top goalscorer, who had expressed his desire not to renew his contract at the Emirates Stadium after being disillusioned with Arsenal's plans for the future, is reportedly due to sign a four-year deal at Old Trafford for a fee of £24-million.
Goal.com reported earlier on Wednesday that the Red Devils had finally made a breakthrough in negotiations during the previous night, with add-ons included to closer approach the Gunners' asking price.
A statement on Arsenal's official website read: "Arsenal Football Club can confirm that terms have been agreed for the transfer of Robin van Persie to Manchester United.
"Van Persie will travel to Manchester on Thursday in order to agree personal terms and complete a medical ahead of the proposed move."
The Netherlands international is likely to spearhead a formidable attack for the Red Devils, as Wayne Rooney finished behind the 29-year-old with 27 league strikes last season.
Manchester City and Italian giants Juventus were also thought to be interested in Van Persie's signature but the Dutchman looks set to join former Crewe youngster Nick Powell and Japan international midfielder Shinji Kagawa as Sir Alex Ferguson's summer recruits.
"Manchester United is pleased to announce it has reached agreement with Arsenal Football Club for the transfer of Robin van Persie," the Old Trafford side declared on their official website.