The news means that Fabio Capello will not be able to include the former Southampton and Chelsea defender in his squad for this summer's World Cup finals in South Africa.
Bridge has made his decision after a relationship between his former partner Vanessa Perroncel and Chelsea and England defender John Terry became public knowledge.
Although Capello stripped Terry of the England captaincy, Bridge has said his place in the squad has become "untenable and potentially divisive".
It is a major blow for England as first-choice left-back Ashley Cole is currently injured and Bridge was expected to replace him in next Wednesday's friendly international against Egypt.
The 29-year-old issued a statement which read: "It has always been an honour to play for England.
"However, after careful thought, I believe my position in the squad is now untenable and potentially divisive.
"I have thought long and hard about my position in the England football team in the light of the reporting and events over the last few weeks.
"It has always been an honour to play for England. However, after careful thought I believe my position in the squad is now untenable and potentially divisive.
"Sadly therefore I feel for the sake of the team and in order to avoid what will be inevitable distractions, I have decided not to put myself forward for selection.
"I have today informed the management of this decision. I wish the team all the very best in South Africa."
Source: DSG
