The Chelsea center back was hurt Friday in the 5-0 win over Moldova in England's opening Group H match in qualifying and joins fellow defender and teammate Ashley Cole on the sidelines.
The English Football Association said in a statement Sunday that "following further treatment from the England medical staff today, John Terry will not be available for the World Cup qualifier against Ukraine" and has returned to his club.
Terry's absence adds to manager Roy Hodgson's injury problems, with Wayne Rooney, Andy Carroll and Adam Johnson also out.
Gary Cahill and Phil Jagielka are vying to replace Terry and partner Joleon Lescott in Tuesday's match at Wembley Stadium.