The Danish international signed for the club in January 2011, and has made 13 appearances for the club, claiming the No.1 spot for a brief period last season before injury ended his campaign in February.
Lindegaard, who has recovered from the knee problem that sidelined him, has impressed so far on the Red Devils' pre-season tour of South Africa and Asia, and says he there isn't anywhere he'd rather be playing.
"I'm very pleased to have signed a new contract," Lindegaard told the club's official website.
"I'm glad and proud that the manager has shown the confidence he has in me by giving me a new deal.
"There is nowhere in the world I would rather be than right here. The competition for places is tough, as it should be in a club like this. It only makes us better as individuals and, more importantly, stronger as a team.
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"It's what I have dreamt of all my life and nothing makes me more proud than wearing the Manchester United badge."
United manager Sir Alex Ferguson said he was delighted to have tied Lindegaard down to another contract, and admitted that the 28-year-old could give him another selection headache this year.
"Anders is still relatively young for a goalkeeper but he has come on leaps and bounds since joining us last year," Sir Alex added.
"There is healthy competition in the goalkeeping department, which is always good for the team, albeit a headache for me!
"I am delighted he has signed a new contract and also delighted to see that he has clearly returned from the summer break in good shape after the disappointment of suffering an injury last season."