Beaten 4-1 by United at the Liberty Stadium on the opening day of the season, Swansea gained their revenge by recording their first ever away win over the Red Devils.
"It's very special," said boss Laudrup, who rejected the notion United had become a soft touch.
"I've been asked if that special thing about Old Trafford has changed because four teams had won here [before us] but the reason why some stadiums are very special - Old Trafford, Bernabeu, Camp Nou and so on - it's because of the history of the clubs, not because of what has happened in one, two or three seasons.
"Yes, it is a little rare when you see teams who haven't won for five, 10, 15 or 25 years win here but it doesn't mean it's something that can happen every day.
"It may be the next time Swansea win at Old Trafford will be in 15 years.
"If you play Manchester United 10 times or Chelsea 10 times away, maybe you win one or two and have a couple of draws but lose the rest.
"But because something happened one year doesn't take away the history of the club - Old Trafford will always be special for every player who comes here and tries to get something."