DAME Evelyn Glennie joined Emmylou Harris as they were awarded the music world's answer to the Nobel prize.
The two musicians received the Polar Music Prize during a ceremony at the Stockholm Concert Hall in Sweden.
Dame Evelyn, the renowned percussionist, said the prize was "important and symbolic" as she accepted the accolade from King Carl XVI of Sweden.
She said: "It's an institution that brings together people of all kinds, whatever their culture, age or beliefs, in a celebration of music's power and diversity."
Barack Obama sent a message of congratulations to the women, saying: "Music brings people together in an increasingly interconnected world.
"It helps bridge differences, lift hearts and challenge assumptions."
Prime Minister David Cameron also sent his "warmest congratulations" to Dame Evelyn, telling her: "You have done Britain proud."
"She is a truly inspirational musician and a unique British talent. Having seen her perform at the opening ceremony of the Olympic Games, I know the sheer magic she creates and how she captivates audiences around the world."
She said: "Both represent the spirit of the award that my father envisaged when he founded the prize."
Previous winners include Sir Paul McCartney, Chuck Berry, Patti Smith and Youssou N'Dour.
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