United missed out on a 20th top-flight title after City completed a dramatic 3-2 victory over Queens Park Rangers on the final day of the season, winning the Premier League crown on goal difference ahead of their derby rivals.
Giggs, who has won the title on 13 occasions, pointed to the Red Devils past triumphs in the face of adversity, and the veteran midfielder insisted United would come back stronger in August.
“So it’s disappointing to have been so near but then again, there are so many positives to take out of the season as well,” Giggs told United’s website.
“I think you’re more driven when you lose a trophy. We refer to it as our trophy because we’ve won it so many times and I think when we do lose it, we want it back and we want it back quickly.
“We’ve faced disappointments before and we’ve always come back and that’s what we need to do now. We’ve had so many highs over however many years but you’ve got to take the lows as well. You’ve got to take it on the chin and come back bigger and better next year.”
The 38-year-old is already eagerly anticipating taking part in his 22nd season in the top flight, and added that the disappointment of missing out on the title will only serve as motivation.
“I felt good against Sunderland,” added Giggs. “It was the last game of the season and yet I still felt good.
“So now I’ll get refreshed this summer and look to go again next season. Hopefully we’ll get a positive result at the end of it. We were so near [to winning the title] this year but sometimes you need disappointments in your career, and your life, to go forward.”