The 25-year-old joined the Canaries from Wolves at the beginning of the 2009-10 Championship season, following the club’s promotion from League One, but failed to nail down a consistent first-team place, managing just 22 league appearances.
However, last season the South Africa-born player made 25 Premier League appearances, bagging four goals in the process, and often saw off competition from Anthony Pilkington.
Speaking about the new deal to the club’s official website, Surman said: "It feels great. It's an honour for me to sign another contract at Norwich City.
“I've really enjoyed my time here and I'm looking forward to another three years at the club.
"It has been amazing. Everyone keeps talking about these last three years at the club, winning two promotions and then staying in the Premier League.
"We've a new manager coming in now, and it's a great time to build on what we did last season.
|13/8||Norwich are 13/8 to be relegated from the Premier League in 2012-13 with William Hill|
“Everything I've heard about the new manager is really good. He's a football man and a good man manager, too. I haven't met him just yet, but I'm looking forward to it as all the lads are. It's going to be an exciting time next season."
Surman’s new manager Chris Hughton was also pleased to have the midfielder tied down for another three years, highlighting the player’s improvement over the past 12 months and his knack for scoring important goals.
Hughton added: "Andrew did really well for Norwich last season and as manager I am pleased that he has accepted our offer of a new three-year deal.
"Since joining from Wolves he has continued to improve, and showed this by scoring some important goals in the Premier League last season.
"It's a deal that is well-deserved and hopefully he can pick up where he left off when we get back for pre-season."