Their campaign will begin against Slovakia at Rustenburg on June 16 (NZT). They play Italy at Nelspruit on June 21 (NZT) and their last group match against Paraguay at Polokwane on June 25 (NZT).
It means all their games will be at altitude.
It is not the toughest draw for the All Whites as it means they avoided potential powerhouses such as Cote d'Ivoire, Cameroon, Portugal and France.
Slovakia are in the World Cup for the first time after winning their European qualification group over Slovenia, the Czech Republic, Northern Ireland and Poland.
Paraguay have reached the second round of the World Cup three times but have not progressed any further. They qualified third in the South American pool and beat Brazil during qualifying.
The All Whites pushed Italy to 4-3 in their lead-up to last year's Confederations Cup but the four-time winners are invariably tougher at the World Cup itself.
Groups for the 2010 World Cup:
Group A: South Africa Mexico Uruguay France
Group B: Argentina Nigeria South Korea Greece
Group C: England United States Algeria Slovenia
Group D: Germany Australia Serbia Ghana
Group E: Netherlands Denmark Japan Cameroon
Group F: Italy Paraguay New Zealand Slovakia
Group G: Brazil North Korea Ivory Coast Portugal
Group H: Spain Switzerland Honduras
