Two weeks later, the 5 feet, 3 inches (or 1.6 meters) she jumped in Stuttgart, Germany, was all but obliterated and she was kicked off the team.
Bergmann was Jewish. She would miss that year's Berlin Olympics. There was no way the Nazis would allow a Jew to compete and possibly win.
Now comes news that Germany's track and field association restored the mark, calling the decision an "act of justice and a symbolic gesture" while acknowledging it "can in no way make up" for the past. It also requested that she be included in Germany's sports hall of fame.
This was all a pleasant surprise for the 95-year-old Bergmann - a victory for the strong-willed woman who later changed her name to Margaret Lambert after emigrating to the United States in 1937.
"That's very nice and I appreciate it. I couldn't repeat the jump today, believe me!" said Lambert, who lives in the New York City borough of Queens.
Lambert, interviewed by telephone, said she was on the German Olympic team from 1934 to 1936 but had gone to England at the age of 19 in search of schooling. She won the 1934 British High Jump Championships and had hoped to compete for Britain. But the Nazis learned of her success.
She said they forced her to jump for Germany, threatening her family even though Lambert figured the Nazis would never let her partake in the Olympics. It was a political stunt meant to appease the Americans.
[In fact, as Lambert later found out, her position on the German team was filled by a man in disguise, as reported last year by the Independent.]
She found the Jews living in horrible conditions upon her return to Germany.
"Jews were not allowed in restaurants, in movies, in whatever," she told the U.S Holocaust Memorial Museum. "And even though I was a member of the German Olympic women's team, I was not allowed in a stadium. I couldn't practice."
Lambert said the treatment of the Jews angered her and made her compete harder.
(Left: Margaret Lambert stands outside her home in Queens.)
Lambert said she was initially unaware that her record was stripped because she was trying to carve out a new life in America.
"I didn't even know about it," she said. "I was so busy trying to survive over here."
Lambert, who has been married for 71 years, made a living as a cleaning woman for $10 a week and then as a physical therapist. A Yankees fan, she gave up working to raise two sons. She still has pictures, medals and other memorabilia from her days as a star athlete, noting that she also competed in shot put.
She can't even bring herself to watch the Olympics these days.
"To tell the truth, I used to sit there and curse my head off when the Olympics were going on," she said. "Now I don't do that anymore. I've mellowed quite a bit."
Lambert said she lost many relatives in the Holocaust, including her mother-in-law and brother-in-law. She has gone back to Germany, though reluctantly.
"I went back twice, even though I swore I'd never touch German soil again. I decided I shouldn't blame the younger German generation for what their fathers and grandfathers did."
For more info:
"By Leaps and Bounds" by Margaret Bergmann Lambert (U.S. Holocaust Memorial Museum)
"Hitler's Olympics" by Christopher Hilton (History Press)
Lambert's story was told in the 2004 HBO documentary "Hitler's Pawn"
Trailer for the German film "Berlin '36" about Bergmann and her replacement on the German Olympic team.
By Associated Press Writer Adam Goldman; AP writer Eddie Pells in Denver and investigative researcher Randy Herschaft in New York City contributed to this report