David, whose contract at LA Galaxy has come to an end, Victoria and their four children are said to be set to return to the UK.
The Mirror reports that the celebrity couple agreed on a £15,000-a-year independent school for Brooklyn, 13, Romeo, 10, and Cruz, 7. Meanwhile, 1-year-old Harper will be attending a nursery.
A source told the newspaper: "For David and Victoria, the children come first. They have spent months researching schools and after visiting a few earlier this month, have found one they agree on.
"It's an independent school and will not be fazed by having celebrity children on its books. Both David and Victoria's families are all delighted too as a return to London means they will see so much more of the children."
The Mirror also claims to know the name of the school the Beckham children will be attending, but has chosen to refrain from announcing the information "so pupils are not distracted by fans hoping to catch a glimpse of the superstars on the school run".