The sitar master, who died last December at the age of 92, won the World Music album award last year for the first part of the album 'The Living Room Sessions Part 1', besides being given the lifetime achievement honour, which was received by his daughters Anushka Shankar and Norah Jones.
The album consists of three tracks Raga Mishra Kafi, Raga Sindhi Bhairavi and Raga Bhairavi.
Others nominees of the World Music Album category are Gipsy Kings' for 'Savor Flamenco', Femi Kuti for 'No Place For My Dream' and Ladysmith Black Mambazo for 'Live: Singing For Peace Around The World'.
English rock band Led Zeppelin's song titled 'Kashmir' from their sixth album 'Physical Graffiti', has been nominated in the Best Rock Performance category.
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The song includes many distinctive musical patterns of classical Moroccan, Indian and Middle Eastern music.
The music awards nominations is being led by rapper Jay Z, who has received nine nods including Best Rap Album and Best Rap/Sung.
Country star Taylor Swift has landed two nods -one for Best Album category and another for Best Country album. Pop star Katy Perry also has two nods including Best Solo Performance and Song of the Year.