Ingrid Krämer won gold in both platform and springboard diving in 1960, making her the first non-American female to achieve this feat. After repeating this double at the 1963 European Championships, Engel-Krämer was a strong favorite to retain both titles in 1964 but she was successful only in the springboard, narrowly losing her platform crown. At her third Olympics in Mexico in 1968, she competed only in the springboard where she finished fifth.
She competed under three different names at the Olympics. She appeared under her maiden name of Krämer in 1960, while in 1964 she used the name of her first husband (Engel) and in 1968 that of her second husband (Gulbin). In 1960 Krämer was elected Sportswoman of the Year in both parts of Germany, the only time this has been achieved, and in 1962-64 she was elected Sportswoman of the Year in East Germany. After the 1968 Olympics she became a graduate sports teacher in East Germany, becoming one of the most successful diving trainers in the world, with her pupils including Martina Jäschke, Beate Jahn, Jan Hempel, Michael Kühne, Heiko Meyer and Annett Gamm. After the reunification of Germany she lost her job and later worked as a bank clerk.