Last season's Premier League title triumph was United's third in a row and their 11th in 16 years and Sir Alex Ferguson has also claimed two Champions League titles - in 1999 and 2008.
Gibbs puts their sustained success down to the continuity in United's squad and the left-back insists that Arsenal's crop of youngsters must stick together if they want to emulate United's trophy haul.
"It's so important to keep the same squad for a long period of time," said Gibbs.
"If you look at the Man United squad from years ago when they had Paul Scholes, Ryan Giggs, David Beckham and the Neville brothers, they all came through the ranks from a young age and I agree with doing that.
"If you do that you can build a team which can become successful and great."