Kunigunde was born in Wiener Neustadt, the fourth of five children to Emperor Frederick III and his wife Eleanor, daughter of King Edward of Portugal. However, only she and her elder brother Maximilian survived to adulthood. She was raised in Wiener Neustadt and at the Inner Austrian court in Graz, Styria, where she grew up in an informal and open atmosphere, without rigid court etiquette. Contrary to former practice, she learned not only to read, write, and embroider, but also received instruction in riding and hunting, astronomy and mathematics. Kunigunde's family had left the Imperial residence at the Hofburg in Vienna after lengthy quarrels with Frederick's younger brother Archduke Albert VI of Austria. Though Albert had unexpectedly died in 1463 and the emperor proclaimed a general Landfrieden peace, armed hostilities in the Austrian lands continued. Like most daughters of royal families, since her early years Kunigunde was involved in the political intrigues of her time. In 1470 the Hungarian kingMatthias Corvinus requested her hand; however, Emperor Frederick, a rival for the Crown of Saint Stephen and also for the Lands of the Bohemian Crown, refused him. As her mother had died in 1467, Kunigunde made her formal presentation at the side of her father at the age of fifteen, in 1480, during the visit of Duke George of Bavaria, called "the Rich", to Frederick's court in Vienna. George was solemnly enfeoffed with the Imperial estate of Bavaria-Landshut and after the celebrations Kunigunde was sent to Burggraf Ulrich III von Graben to Graz for her safety; however, after a plot against the emperor was discovered, he moved to Linz and sent Kunigunde to the Tyrolean court in Innsbruck with Archduke Sigismund of Austria, Frederick's first cousin and former guardian.
In Innsbruck Kunigunde met Duke George's cousin, Albert IV, then ruler of Bavaria-Munich and about 18 years her senior, whom she married on 2 January 1487. Her father had initially given his consent, however, when Albert's forces occupied the Imperial City of Regensburg, he changed his mind. The couple wed at the Innsbruck Hofburg residence, against the will of Kunigunde's father. Her brother Maximilian mediated between her and Emperor Frederick; he was able to prevent an imperial ban. Kunigunde followed her husband to Bavaria and served as joint regent for their eldest son William IV, born in 1493. In spite of her resignation from the Imperial court, she tried to influence the politics of the state as she acted in favour of the rights of her younger sons. She stayed in close contact with her brother, Emperor Maximilian I, and with other rulers and relatives in Europe. After the death of Albert in 1508 she later joined the Convent of Püttrich which she favoured and lived there until her death in 1520.