Wright who played for the club during two spells has described Darlo as a second home, writes Tom Feaheny.
Alan White, who has had three spells as a player with Darlington making over 100 appearances, will be his assistant.
Speaking about his move to the fellow Vanarama National League North said, Wright said to the club's website.
“The directors talked to me about their vision for the club, and Alan and I really want to help realise that. We believe that we can deliver what they want, and that is success.
“The fanbase is massive, with regular crowds of between 1800 and 3000, and potentially more. I always had a very good relationship with the fans in my two playing spells, and that was a key factor in my decision to take the job. I was quite upset when I left after my first spell for Aberdeen. I didn’t want to go, but the club needed the money at the time, otherwise it would have gone bust. The second spell, of course, was highlighted by the celebrations of that great FA Trophy win at Wembley.
“I felt very emotional last season when I returned as manager of Nuneaton and the fans gave me such a warm welcome back. I will always remember that.
“I know that there is a great bunch of talented players in the dressing room. They have a lot of character and a lot of leadership, and Alan and I are looking forward to working with them.
“I must admit, that I didn’t like beating Darlington in the league last Saturday, because the club means so much to me, and Darlington is like a second home to me!”
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