The 34-year-old suffered the injury in AC Milan’s 1-0 win over Chievo on Sunday and flew to Finland for an operation performed by one of the world’s top specialists.
"So far everything is fine," surgeon Dr. Sakari Orava told the reporters. "The operation went smoothly and nicely."
Orava was asked whether the midfielder would be able to play in the World Cup in South Africa starting on June 11.
"No, I don’t think so...healing takes a long time," he said.
Beckham’s foot will be in a cast for around six to eight weeks, after which he can start "more vigorous" physiotherapy.
Beckham, England’s most capped outfield player with 115 appearances, had been bidding to play in a fourth World Cup.
"I am upset but want to thank everyone for their messages of support," Beckham said on his official website. "I hope to make a swift and full recovery."
England coach Fabio Capello said Beckham’s likely absence was a "big blow."
"I am very sad for David that he has suffered this injury," Capello said in a statement on the FA website.
"I spoke with him after the game on Sunday night to offer my support, as did (assistant) Franco Baldini.
"David is a great professional and has worked very hard to be ready for the World Cup, so missing it will be a big blow."
Beckham was getting ready to kick a ball unchallenged late in Sunday’s Serie A match when he suddenly pulled up and shouted to the Milan bench ’It’s broken’.
"He had a total tear of the left Achilles tendon and that was repaired," Orava added, saying it was unclear where Beckham would go next for the start of his rehabilitation.
"He was actually in quite a good mood. He was smiling and happy that the operation was done, and happy to hear it went fine. He was not at all depressed, that we could see, about the ability to play in the World Cup."
Achilles tendon：the tendon joining the calf muscles to the heel bone（跟腱）
cast：a rigid surgical dressing, usually made of bandage treated with plaster of paris（石膏，也称为plaster cast）
cap：to select (a player) for a representative team（为球队挑选球员）