By Jonathan Fildes
Science and technology reporter, BBC News
Hardware suppliers have been given the green light to ramp-up production of all of the components needed to build millions of the low-cost machines.
Previously, the organisation behind the scheme said that it required orders for 3m laptops to make production viable.
The first machines should be ready to put into the hands of children in developing countries in October 2007.
"There's still some software to write, but this is a big step for us," Walter Bender, head of software development at One Laptop per Child (OLPC), told the BBC News website.
The organisation has not said which countries have bought the first machines.