Holders Italy held by New Zealand
The All Whites took the lead in the seventh minute though Shane Smeltz and then withstood a barrage of Italian pressure for most of the rest of the match.
GEAR: Get an Italian WC shirt
Marcello Lippi's men found a way through in the 29th minute, Vincenzo Iaquinta stroking home an equaliser from the penalty spot after Tommy Smith was judged to have pulled down Daniele de Rossi in the box.
But despite wave after wave of attack, the Italians failed to grab a winner and have just two points to show from their opening two Group F matches. They face Slovakia in their final group match and need a win to guarantee a place in the last 16.
New Zealand also have two points and have a chance of making it out of the group if they can take something from their final match against Paraguay.
"We knew we'd be up against it tonight but we showed great resilience and I'm well pleased," New Zealand coach Ricki Herbert said. "We're going to be bloody hard to beat I'll tell you that."
This was by far the greatest result in New Zealand's modest footballing history. Their one previous appearance in their World Cup finals ended in three defeats.
For the Italians, this marks an embarrassingly set-back. Despite their constant pressure they still look a shadow of the side that lifted the World Cup four years ago.
New Zealand got off to a sensational start, scoring with their first attack of the match.
Simon Elliot hoisted a long free kick in from the left towards the back post. It floated over the heads of the Italian defenders and bounced off Fabio Cannavaro's knee, leaving Smeltz free to prod the ball home from inside the six-yard box.
Italian coach Lippi noted it was the second time in the tournament his team had conceded a goal from a long free kick.
The Italians immediately went on the offensive and laid siege to the All Whites goal for the rest of the half.
On 22 minutes, Zambrotta floated a right foot shot just over the corner of post and crossbar, and five minutes later Riccardo Montolivo saw his low right foot drive cannon off the base of Mark Paston's right hand post and run harmlessly across the face of goal.
A goal seemed inevitable and two minutes late it came. Smith tugged at De Rossi's shirt inside the penalty area, the Italian made a theatrical dive to ground and Guatamalan referee Carlos Batres pointed to the spot.
The decision looked harsh - it was the sort of challenge that Italian d