Having netted a vital equaliser in the draw in Estonia last Friday, the Dutch striker was on target again, netting both of the Netherlands' goals in the 2-0 victory away to lowly Andorra which sealed qualification for next year's World Cup.
Elsewhere, Tom Cleverley and Ashley Young both came off the bench to help England claim a point in Kiev after a 0-0 draw against Ukraine. Young replaced Jack Wilshere soon after the hour-mark, while Cleverley came on for the injured Theo Walcott in the final few minutes of the match. Michael Carrick and Chris Smalling were both unused substitutes, while Danny Welbeck missed the game through suspension following his caution in Friday's win over Moldova.
It proved to be a disappointing evening for Jonny Evans and Northern Ireland who lost 3-2 away at Luxembourg. It was only Luxembourg's fourth ever win in a World Cup qualifier and it was thanks to Mathias Janisch's winner three minutes from time.
Valencia (Bolivia - A) Drew 1-1
Carrick, Cleverley, Smalling, Young (Ukraine - A) Drew 0-0
Evra (Belarus - A) Won 4-2
Kagawa (Ghana - H) Won 3-1
van Persie (Andorra - A) Won 2-0
Evans (Luxembourg - A) Lost 3-2
*World Cup qualifiers unless stated