The Dutch international claimed a hat-trick during last night's 3-0 win over Aston Villa as the Red Devils secured the 20th league title in their history.
Having won his first major trophy since he joined United from Arsenal last summer, the 29-year-old is hoping that further success is ahead.
"I want to win it again. I want to win more stuff. I want to win the FA Cup, the Champions League and the Capital One Cup. I want to win it all," he told MUTV.
Van Persie failed to win the Premier League title during his eight-year stint with the Gunners.