Button is NZ$2m behind Rooney and though his net worth has grown by NZ$16m in the past year, he signed a new contract on a reduced salary of around NZ$16m a year last December.
Tennis player Andy Murray is now fourth on the list with wealth put at NZ$96m. The 27-year-old signed a three-year deal with Standard Life last year and also left the Adidas stable to take up a new NZ$30m four-year deal with American clothing brand Under Armour.
Rio Ferdinand (NZ$88m) is ahead of former England team-mate Steven Gerrard (NZ$84m), while British NBA star Luol Deng, who plays for Miami Heat, has a fortune of NZ$80m.
Chelsea manager Jose Mourinho (NZ$80m) is next on the list ahead of Arsenal's Arsene Wenger ($76m) who is tied in 10th position with Ryan Giggs, the 41-year-old who is now the assistant manager of Manchester United.
British sport's rich list (NZ dollars):
1. Lewis Hamilton, Motor racing, $176m
2 Wayne Rooney, Football, $144m
3 Jenson Button, Motor racing, $142m
4 Andy Murray, Tennis, $76m
5 Rio Ferdinand, Football, $88m
6 Steven Gerrard, Football, $84m
7= Luol Deng, Basketball, $80m
7= Jose Mourinho, Football, $80m
9 Frank Lampard Football, $78m
10= Sir Nick Faldo, Golf, $76m
10= Ryan Giggs, Football, $76m
10= Rory McIlroy, Golf, $76m
10= Arsene Wenger, Football, $76m
- Daily Mail