He died on January 8th after a heart attack at his home in Tolochenaz, Switzerland, his daughter told the French magazine Forum Opera on Thursday night.
She had kept his death secret for a month, the magazine added.
The Royal Swedish Operat and the mayor of Tolochenaz, just outside Lausanne, confirmed his death to AFP.
With a diverse repertoire and an exceptionally long career, Gedda was one of the opera greats of the 20th century, alongside stars such as Maria Callas, Elisabeth Schwarzkopf and Dietrich Fischer-Dieskau.
“He had an amazing lyrical and elegant voice and he was especially distinguished within the French opera,” Royal Swedish Opera spokesman Torbjörn Eriksson told AFP.
He was also admired for his deep musical intelligence, performing in French, Russian, German, Italian, English, Czech and Swedish.
Gedda was born in Stockholm on July 11th, 1925, to a working-class Swedish mother and a half-Russian father.
His parents later abandoned him, and he was raised by his aunt and her Russian husband, a singer, who introduced him to music and language training.
Gedda did not know he had been abandoned by his biological parents until he was 17.
After being trained by the renowned Swedish tenor Carl Martin Öhman, Gedda had his breakout role when he was 26, in a 1952 Royal Swedish Opera production of 'The Postillion of Lonjumeau', which has one of the most difficult tenor arias.
His performance caught the attention of the Austrian conductor Herbert von Karajan, and by the following year he was appearing at the Paris Opera and the Royal Opera House in London.
In 1957, Gedda held his first performance at the Salzburg Festival in 'The Abduction of the Seraglio'. He performed in 'Faust' at the Metropolitan Opera House in New York the same year.
Immensely popular among opera fans, Gedda sang more than 350 times at the Metropolitan Opera House between 1957 and 1983, performing all of the great French, Italian, Russian and Czech masterpieces.
Active into his late 70s, he also recorded the role of Emperor Altoum in Puccini's 'Turandot' in 2001 and the role of a high priest in Mozart's 'Idomeneo' in June 2003.
In 1994, the Royal Academy of Music in London made Gedda an honorary member, and in 2010 France gave him the Legion of Honour, the nation's most prestigious decoration.
He spent his last years with his wife in Switzerland.