The defender has signed a new deal with the Magpies to 2027.
"I'm delighted to sign a new deal here," said Burn, now 33.
"I knew that I was going into my last year and I really wanted to get my future tied down. I've said before that I would love to finish my career here so to be given that opportunity, I'm very grateful."
Geordie Burn added: "I still feel like I'm getting better and I don't feel that I've hit the top of the hill yet.
"It'll be tough to top this season but hopefully we can do that over the next couple of years. It's a dream come true to be playing for this club and I'm delighted that I get to keep doing it."
Epitomises what we want
Newcastle United manager Eddie Howe also said: "Dan has had an incredible season.
"He has been a key part of our most memorable moments and has rightly been rewarded with senior international football.
"He is a leader who epitomises the attitude and commitment we want, and I'm delighted he'll be staying with us for even longer."