Van Persie scored three times in 31 first-half minutes at Old Trafford to send United 16 points clear of rivals
with four games
Ryan Giggs set up the Dutchman to tap in before Van Persie's sublime finish after Wayne Rooney's pass made it 2-0.
His close range finish after Giggs's pass sealed an historic win.
The victory was every bit as emphatic as United's 13th title in 21 Premier League seasons under Sir Alex Ferguson.
Villa, who remain three points above the relegation zone with four games remaining, were blown away in a one-sided first half as United showed why they have been the best team in England this season.
After Van Persie's opener after just 83 seconds, Rafael Da Silva hit the woodwork before
side doubled their lead with a late goal of the season contender. Ferguson
A delightful 13th-minute pass by Wayne Rooney, playing in a midfield role, found Van Persie whose amazing left-foot volley from just outside the box gave Villa goalkeeper Brad Guzan no chance.
There was more to come from United and Van Persie.
It was 3-0 after 33 minutes when Giggs, who has now won 13 titles, delivered a pass which allowed Van Persie to prod home.
Villa improved after the break but were denied a consolation goal when Van Persie headed Andreas Weimann's header off the line.
The final whistle was greeted by scenes of jubilation among United's players and fans, the only thing missing was the Premier League trophy itself.
That will be presented at United's final home match of the season against
on 12 May. Swansea