The clips will be available two to three hours after the final match of each day.
The service may prove popular to those outside of Japan and Korea's time zones, especially in Europe where fans will be up to nine hours behind the action.
"By launching this video highlights package Fifa has listened to the voices of the football fans across the globe and has responded by providing the ultimate way to stay in touch," said Fifa president Joseph Blatter.
Blanket ban
Mr Blatter believes the historical decision to provide web highlights shows the football organisation is taking the net seriously.
"Fifa has moved decisively into the new communications era, utilising the latest technologies to bring the best of the Fifa World Cup to fans wherever they are in the world," he said.
Other internet sites, including BBC Sport, will not be able to show clips of the matches on the internet for this or any foreseeable World Cup though.
"It is a common complaint from users but we have no rights to show video clips," said BBC News and Sport editor Pete Clifton.
"This kind of blanket ban is very frustrating."