The left-back, who has been the subject of interest from , has agreed a two-year extension to his original deal.
Hall said it was a "really proud moment" to extend his stay as a boyhood supporter of the club.
"It's an absolute pleasure to play for this club and to represent the supporters," he said. "I know how much it means to them.
"To be able to bring joy to their faces, it's a big thing for me. I obviously have a family connection with the club, which is incredibly important to us all.
"One of the main reasons I play is to make my family proud, and I know how much it means to them to watch me playing for .
"It's a really good place to be. It's really pleasing with how we've started the season, especially with the new gaffer [Matthias Jaissle] and coaching staff coming in, and I think we can go on to achieve really big things. "
Hall, 22, has made 106 appearances for since joining the club from in 2023.
Jaissle said the defender is a "very important player for us and for what we are building here".
"His mentality is exactly what you want in a young player," he said. "He wants to learn every day and he wants to be better in every match.
"Lewis covers ground in a way that few players can. He defends with maturity and intelligence, and his technical level means he can support the team higher up the pitch.
"What excites me most is that I believe the best is still to come from Lewis. He has a lot of room to develop, and I am looking forward to working with him as he grows with us. "
It was just last month that Jaissle replied "no chance" when legend Peter Schmeichel informed him that his former side were looking at Hall.
This deal further strengthens the club's position.
It also rewards Hall for his development since he arrived from as a raw left-back three years ago.
Hall needs to continue to work on the defensive side of his game but, on his day, he has proved he is capable of even keeping Barcelona star Lamine Yamal quiet from open play in the Champions League.
He has been a real outlet going forward for , too, and has already set up two goals this season.
That should not come as a huge surprise.
Of those full-backs to play a minimum of 900 minutes across the Premier League last season, Hall led the way for high-speed runs and underlapping runs per game. He also ranked in the top three for dribbles completed per match.
It feels like there is a lot more to come from him as he looks to get back into the England squad after missing out on the World Cup.
