The striker originally joined Harriers on loan during the 2015/16 season, scoring one goal in a dozen appearances.
Wright then re-joined Harriers on a permanent contract in September 2017, scoring 3 goals in eighteen games.
The 21-year-old former West Bromwich Albion academy product told Nuneaton`s official Pitchero website on his signing: "It's great to be at the club. I want to help the team finish as high as possible this season and then next year, work hard to be where the club should be, which is challenging at the top end of the table."
Wright will hope to go straight into the squad for tomorrow`s game against Stockport County.