The Warwickshire right-hander fractured a metatarsal in his left foot when diving for an attempted catch during the One-day international against Bangladesh on Saturday.
"Ian underwent a routine operation last night on the fractured metatarsal in his left foot," Nick Peirce, the England and Wales Cricket Board's (ECB) chief medical officer, said in a statement.
"He will now undergo a course of rehabilitation that will see him ruled out of the upcoming Pakistan Test series.
"We expect Ian to make a full recovery but his participation in the One-day series against Pakistan in September will be reviewed in due course once he has made significant progress with his rehabilitation programme."
Bell, who has played 57 Tests for England, re-established himself in England's middle order with some important runs in the tour of South Africa [ Images ] after his place had come under pressure.
England will play four Tests against Pakistan starting at Trent Bridge, Nottingham on July 29.