Giggs came off the bench to settle United nerves with a decisive late strike against Wigan after Cristiano Ronaldo's first-half penalty.
Giggs, who equalled Sir Bobby Charlton's record of 758 appearances when he came on, drew more satisfaction from a 10th title medal.
"I said before the game that I am not bothered about records. This is what it is about, championships and trophies. I hope we can win another one in 10 days' time."
United boss Sir Alex Ferguson admitted that Wigan had given United a stern test on their way to a title-clinching victory.
He continued: "It was a tough one all right. For most of the game we played well but there were some nervous moments."
Wayne Rooney said the players were all determined to win the title.
"We have got the hunger and we knew coming into the last two games that six points and we would be champions," he told Sky Sports 1.
"We could see the finish line."
Rooney paid tribute to Ferguson, describing him as "brilliant" and "determined".
He added: "It's a privilege to play for him every week."
Rio Ferdinand said: "Credit to Wigan - they gave us a tough game today. It's just a fantastic feeling to win the trophy."