Veterans Affairs made the new policy decision last month, after a complaint was filed to the White House. Steve L. Muro, the director of the National Cemetery Administration's field programs office, ordered cemetery directors to stop the readings.

Click here to read the memo (pdf).

There are no federal laws related to the flag that assign any special meaning to the individual folds of the flag," Muro wrote in a memo obtained by FOX News.com. "The National Cemetery Administration must not give meaning, or appear to give meaning to the folds of the flag by endorsing or distributing any handouts on 'The Meaning of Each Fold of an Honor Guard Funeral Flag.'"

And though the next-of-kin can request the reading at the service, the ban has caused a furor among veterans. Members of the American Legion have been flooding national headquarters since the decision, according to Ramona Joyce, an organization spokeswoman.

To me, it's a slap in the face for every veteran, every member of the Memorial Honor Detail and every family of the deceased veteran," said Rees Lloyd, a member of the American Legion's Memorial Honor Detail for services at Riverside National Cemetery in California. At issue are secondary meanings attached to the folding of the flag. As the honor guard makes the 13 folds — traditionally representing the original colonies — they recite "the first fold of our flag is a symbol of life, the second fold is a symbol of our belief in the eternal life, etc."

A complaint about the recitation for the 11th fold — "in the eyes of a Hebrew citizen, represents the lower portion of the seal of King David and King Solomon, and glorifies, in their eyes, the God of Abraham, Isaac, and Jacob" — garnered a complaint and prompted the ban.

The Sept. 27 ban was an effort to create uniform services throughout the military graveyard system, spokesman Mike Nacincik said, adding the 13-fold recital is not part of the U.S. Flag Code and is not government-approved.

We definitely think is a matter left up to the families," Joyce said. "It's a nice ceremony; we've been doing it for years. Our honor guards have been doing it.

It's respectful and it's something the family should be able to choose to have done if they so wish for their veteran," she continued.

Lloyd thinks it's a matter of political correctness gone wild.

The entirety of this issue is an absurdity that shows political correctness and secular cleansing run amok," Lloyd said. "This is about families of deceased veterans putting to rest their loved ones. No one should interfere with their choices."

The 12th fold recitation is geared to Christians, saying the fold "represents an emblem of eternity and glorifies, in their eyes, God the Father, the Son and Holy Ghost."

In the Legion's burning ceremony for the dignified disposal of unserviceable flags, a chaplain invokes the name of God with lines like "as they yield their substance to the fire, may your holy light spread over us and bring our hearts renewed devotion to God and country," Joyce said.

"When we got back from the war, we didn't ask for a whole lot," said Bobby Castillo, 85, a World War II Navy veteran. "We just want to give our veterans the respect they deserve. No one has ever complained to us about it. I just don't understand."

Lloyd and Castillo are part of a 16-member detail that have performed military honors at more than 1,400 services. They were preparing to read the flag-folding remarks at the Riverside cemetery when graveyard staff stopped them.

Charlie Waters, parliamentarian for the American Legion of California, said he's advising memorial honor details to ignore the edict.

"This is nuts," Waters told the Press-Enterprise by telephone from Fresno. There are 26 million veterans in this country and they're not going to take us all to prison."

Nacincik said that while the flag-folding narrative includes references to God that the government does not endorse, the main reason for the new rules is uniformity.

"We are looking at consistency," Nacincik said. "We think that's important."

Rabbi Yitzhak Miller of Temple Beth El said he understands the ban.

"It is a perfect example of government choosing to ignore religion in order to avoid offending some religions," Miller said. "To me, ignoring religion in general is just as problematic as endorsing any one religion."

Shuler's letter urged Veterans Affairs to change its mind.

"Please reconsider the policy and allow the Memorial Honor Detail volunteers to perform the traditional flag-folding recitation if requested by the family of the deceased," he wrote.

Lloyd said the honor guard would decide whether to defy the ban next Tuesday, when it will serve at more military funerals.

"We are going to abide by the wishes of the families," Lloyd said. "Not some bureaucrat in Washington, D.C. Period."

FOXNews.com's Sara Bonisteel and The Associated Press contributed to this report.