The 19-year-old arrives at Molineux on a season-long loan with an option to make the switch permanent.
"I'd just like to say how immensely proud and happy I am right now, and I'm thrilled to be joining this club," Ait-Nouri said.
"I'm here to try and show everyone here exactly what I'm capable of, the manager, my teammates and the supporters. I hope I can have a great season here.
"I'm really excited to be setting out on this new adventure with Wolverhampton.
"It's a massive club, a big club and I always had it very clear in my mind that I wanted to come to Wolves and so I'm very happy.
"I'll be aiming to settle into the club as quickly as I can, and with the help of my teammates, get in the best shape I can, and to try and play as many games as I can in the Premier League, because it's a league you dream about playing in."