The 31-year-old defender has been at Old Trafford ever since United parted with a reported £7m to land his services from Spartak Moscow back in January 2006.
"It's brought me huge enjoyment and the opportunity to express myself on what's probably the biggest stage in football," Vidic told Inside United magazine.
"I feel blessed to play for this club and I learn things every day. I've been at United for seven-and-a-half years. I can't deny I feel something very special."
A knee injury has limited the United skipper to just 19 appearances in all competitions this season.