The Dutch striker has been one of United's most influential players this season having joined in the summer, but he insists that the whole club contributed to winning the title.
"It doesn't matter who scored, as long as we won the game. From the first minute, everyone played well and it was great to score so early and a great win for us," Van Persie told Sky Sports News.
"I am very happy but it is weird. I had to wait so long for my first title. It is a great feeling. It is a fantastic team and fantastic players. It is a championship for every single one of them. The staff, the managers, the physios.
"This is our 20th title, it is deserved. It [the second goal] was one the best goals. I only had to time it right. Let me enjoy this moment, next game is against Arsenal, but let me enjoy this moment."
Van Persie is the league's top scorer this season having netted 24 goals in his debut season for the champions.